# Honors Geometry Midterm Questions

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1 Honors Geometry Midterm Questions Name 1. What is the midpoint of a line that has endpoints at (0, 3) and (6, -1)? A. (12, 2) B. (3, 1) C. (12, -5) D. (3, 2) If X is the midpoint of CN and CX = 2n 10, what is CN? A. n 5 B. 4n 20 C. 4n D. 40 If C is between X and Y with CX = 8n 4 and CY = 2n + 10, what is XY? A. 6n 6 B. 6n 14 C. 10n + 6 D. 10n 6 4. What is the midpoint of a line that has endpoints at (-2, -3) and (8, -1)? A. (6, -4) B. (6, -2) C. (3, -2) D. (-6,-4) If B is the midpoint of AC and AC = 8n 2, what is AB? A. 4n 1 B. 16n 4 C. 4n 2 D. 16n + 4 If C is between X and Y with XY = 6n 4 and CY = n + 1, what is CX? A. 5n 3 B. 5n 5 C. 7n 3 D. 7n 5 What are the measures of two complementary angles if the difference of their measures is8? A. 39, 51 B. 76, 84 C. 86, 94 D. 41, 49 What are the measures of two supplementary angles if the difference of their measures is8? A. 39, 51 B. 76, 84 C. 86, 94 D. 41, If A and B are complementary angles with A 80, what is B? A. 10 B. 20 C. 100 D If A and B are supplementary angles with A 80, what is B? A. 10 B. 20 C. 100 D A is at (-1, 2) and B is at (3, 8). What are the coordinates of the midpoint of AB? A. (1, 4) B. (1, 5) C. (2, 5) D. (2, 4) If the radius of a circle is 20 cm, what is the circumference? (Ignore units) A. 20 B. 40 C. 80 D. 400 What is the area of a circle with a radius of 6 cm? (Ignore units) A. 6 B. 12 C. 18 D What is the perimeter of a square with an area of 25 cm 2? A. 20 cm B. 25 cm C. 50 cm D. 625 cm 15. BX bisects ABC. If ABX 30, what is ABC? A. 15 B. 30 C. 60 D. 120

2 Which of these statements is false? A. AB BA B. AB BA C. AB BA D. All are true. Which description best describes a stop sign? A. a regular convex octagon B. an irregular concave octagon C. a regular concave octagon D. an irregular convex octagon 1 Which equation would be perpendicular to the y x 3? A. y x 3 B. y x 3 C. y = 7x 5 D. None of the above 7 7 If you walk 12 miles due East and then 16 miles due South, how far are you from your starting point? A. 20 miles B. 24 miles C. 28 miles D. 36 miles If you walk 35 miles due North and then 48 miles due West, rounded to the nearest mile how far are you from your starting point? A. 13 miles B. 33 miles C. 59 miles D. 61 miles If the diagonal distance of a rectangle is 97 cm and one of the sides is 65 cm, what is the other side length? A. 71 cm B. 72 cm C. 117 cm D. 118 cm How many planes does a dice have? A. 6 B. 4 C. 0 D. 8 If three points all lie on a line, the points are said to be what? A. segment bisectors B. coplanar C. derivatives D. collinear 24. If A and B are vertical angles with A = 2n + 60 and B = 4n + 20, what is the measurement of B? A. 10 B. 20 C. 80 D If A and B are a linear pair with A = n + 40 and B = 9n + 20, what is the measurement of A? A. 22 B. 12 C. 52 D If A and B are vertical angles with A = n + 60 and B = 2n + 10, what is the measurement of A? A. 110 B. 80 C. 20 D. None of the above If two angles are vertical angles, the sum of their measures is 180 degrees. Complementary angles add up to 180 degrees.

3 For consider the statement If you are nice, you have a lot of friends If you have a lot of friends, then you are nice is the of above. A. Converse B. Inverse C. Contrapositive D. Sublimation If you are not nice, you don t have a lot of friends is the of above. A. Converse B. Inverse C. Contrapositive D. Sublimation If you don t have a lot of friends, then you are not nice is the of above. A. Converse B. Inverse C. Contrapositive D. Sublimation Consider the statement: If an angle is 90 degrees, it is a right angle. Is the converse of this statement true or false? Consider the statement: If you live in Radford, you live in Virginia. Is the contrapositive of this statement true or false? The converse of all dogs like to chase cats is that some dogs like to chase cats. The inverse of if you are old, you have a big head is if you don t have a big head, then you are not old. The converse of all bald men are funny looking is no bald men are funny looking. The contrapositive of if you have a dog, you like cats is if you don t like cats, you love dogs. If you like dogs, you like cats is represented by p q. What would be the symbolic representation of if you don t like cats, you like dogs? A. ~p q B. p ~q C. ~q p D. ~q ~p 39. If you have a laptop, then you have a computer is represented by p q. What is the symbolic representation of If you have a computer, then you don t have a laptop? A. q p B. p ~q C. ~q p D. q ~p If p q, and q r, then A. r p B. p r C. ~r p D. r ~p Let p represent 11 = z, and let q represent z is a rational number. What is a symbolic representation of the statement: If 11 = z, then z is not a rational number? A. q p B. p ~q C. ~q p D. q ~p

4 If AB = 6 and AB + BC = 10, then 6 + BC = 10 demonstrates what property? A. Subtraction B. Addition C. Substitution D. Symmetric If AB NP = BC NP, then AB = BC demonstrates what property? A. Subtraction B. Addition C. Substitution D. Symmetric 44. If = 90 and 2 = 5 + 6, then = 90. A. Substitution B. Addition C. Symmetric D. Calcitration 45. If AB + BC = XY + BC, then AB = XY demonstrates what property? A. Subtraction B. Addition C. Substitution D. Symmetric Consider this Venn diagram. Basketball Football Soccer According to the Venn diagram, how many are on the soccer team? A. 11 B. 16 C. 4 D. 9 According to the Venn diagram, how many are playing all 3 sports at the same time? A. 1 B. 8 C. 18 D. 20 According to the Venn diagram, how many play football and basketball at the same time? A. 9 B. 8 C. 33 D. 14 In my class, everyone plays either golf or tennis. 14 play golf and 8 play tennis. If 3 play both tennis and golf, how many kids are in my class? A. 17 B. 19 C. 22 D. 25 I have a total of 14 kids. If 10 of my kids play soccer and 12 play tennis, how many play both tennis and soccer? A. 2 B. 4 C. 8 D. 10 There are 30 kids who play either soccer or baseball. 4 of the 30 kids play both soccer and baseball. If the soccer team has 18 members, how many kids are on the baseball team? A. 12 B. 16 C. 20 D. 26 There are 14 kids in band and 16 in chorus. If 4 of these kids are in both chorus and band, how many total kids are in either band or chorus? A. 26 B. 28 C. 30 D. 34

5 Figure 1 Figure 2 Pet Owners fish owners cat owners dog owners Flowering Plants Roses Bushes In Figure 1 above, which is a valid conclusion? A. No cat owners also own dogs. B. No fish owners also own cats. C. No dog owners also own fish. D. No pet owner owns more than one pet. In Figure 2 above, which statement is true? A. No bushes are flowering plants. B. No roses are bushes. C. Some flowering plants are bushes. D. Some roses are not flowering plants. If lines are parallel, then alternate interior angles are equal. 56. If lines are parallel, then corresponding angles add up to Vertical angles are equal. If lines are parallel, consecutive interior angles are equal. 59. The sum of the angles in a triangle is What is the value of x in the figure below? A. 15 B. 16 C. 19 D. 21 6x - 20 a a ll b 4x + 10 b

6 61. What is the value of x in the figure below? A. 15 B. 16 C. 19 D. 0 4x + 10 a a ll b 6x + 10 b 62. What is the value of x in the figure below? A. 10 B. 15 C. 50 D. 60 2x Look at the figure below and identify the given the alternate interior angle to angle 7 A. 1 B. 3 C. 4 D the corresponding angle to angle 2 A. 1 B. 3 C. 4 D the consecutive interior angle to 5 A. 1 B. 3 C. 4 D In ABC, A 3 n, B 5n 30, C 2n 10. What is the measurement of A? A. 20 B. 40 C. 60 D Give the equation in slope intercept form that goes through (2, 7) and has a slope of 4. A. y = 4x 26 B. y = 4x + 1 C. y = -4x +15 D. y = 4x What would be the slope of the line that is perpendicular to y = 5x + 4? A. 5 B. -5 C. 1 1 D. 5 5

7 69. Give the equation in slope intercept form that goes through (2, 4) and is parallel to the line y = 5x 3. 1 A. y = 5x + 3 B. y = -5x +12 C. y x 12 D. y = 5x Give the equation in slope intercept form that goes through (3, 4) and (5, 10). A. y = 3x 4 B. y = -3x + 13 C. y = 3x 5 D. y = x 71. In ABC, A 3 n, B 5n 30, C 2n 10. What is the measurement of A? A. 20 B. 40 C. 60 D If ABC is an isosceles triangle with AB = BC, which statement must be true? A. C B B. A B C. A C D. AC = BC 73. In CWH which angle is opposite CH? A. C B. P C. H D. W 74. If in CWH, CW = WH and WH = CH, what is the measurement of W? A. 40 B. 60 C. 80 D. Not possible to know 75. If ABC XYZ, which of the following must be true? A. A Z B. AC = XY C. XZ = BC D. None of the above 76. If ABC is an isosceles triangle with AC = BC and A 40, what is B? A. 40 B. 70 C. 80 D. None of the above 77. If ABC XYZ, AB = 38, YZ = 28, and XY = 5x + 8, what is the value of x? A. 30 B. 20 C. 6 D If RST HIJ, R 97, J 37, and S 4x 14, what is the value of x? A. 10 B. 32 C. 46 D Which of the following does not prove congruency? A. ASA B. SSA C. SSS D. All prove congruency 80. If in CWH, W H what can you conclude? A. CW = WH B. CH = CW C. CH = WH D. C 100

8 Figure 1 A Figure 2 D L Figure 3 M C B A C E N B D P O Figure 4 Figure 5 E Figure 6 G A B X D F H C D 81. In figure 1 above, what postulate would be used to prove that ABD ACD if AC AB and CD BD? A. ASA B. SAS C. SSS D. AAS 82. In figure 2 above, AE and BD bisect each other at point C. What postulate would be used to prove that ABC EDC? A. ASA B. SAS C. SSS D. AAS In figure 3 above, what additional information is needed to prove that MNL is congruent to PNO by SAS? A. PN = MN B. PO = LM C. PO = NM D. NM = NO In figure 4 above, AX = BX and CX = DX. What postulate would be used to prove that AXC BXD? A. ASA B. SAS C. SSS D. AAS In figure 5 above, what postulate would be used to prove that the triangles are congruent? A. ASA B. SAS C. SSS D. AAS In figure 6 above, which statement below does NOT necessarily describe the triangles shown if DEF FGH? A. EDF GFH C. EFD GHF B. FED HGF D. FDE FHG

9 A I A II III F B D E C G N C B 87. In picture I above, what allows you to immediately conclude that ABD CBD? A. ASA B. SAS C. AAA D. SAA 88. In picture II above, what allows you to immediately conclude that AEC BEC? A. ASA B. SAS C. AAA D. SAA 89. In picture III above, what allows you to immediately conclude that FGH FNH? A. SSS B. SAS C. AAA D. SAA H 90. What does the symbol mean? A. similar B. equal to C. congruent D. approximately A X B D E F C Y In the figure above, BD = CD, XDC AFC 90, and BAE CAE What is AD in the triangle above? A. median B. perpendicular bisector C. altitude D. angle bisector What is AE in the triangle above? A. median B. perpendicular bisector C. altitude D. angle bisector What is XD in the triangle above? A. median B. perpendicular bisector C. altitude D. angle bisector What is AF in the triangle above? A. median B. perpendicular bisector C. altitude D. angle bisector

10 Which of the measurements below could be the measurements of a triangle? A. 3, 4, 9 B. 2, 8, 10 C. 3, 7, 9 D. 6, 8, 16 If two sides of a triangle are 6 cm and 8 cm, what must be true about the third side? A. 2 m 14 B. 2 m 14 C. 2 m 14 D. 2 m In ABC A 2 x, B x 60, and C 2x 20. Which side is the longest? A. AB B. BC C. AC D. A 98. In ABC, AB = 10 cm, BC = 8 cm, and AC = 7 cm. In XYZ, XY = 8 cm, YZ = 9 cm, and XZ = 10 cm. What must be true? A. X A B. X B C. Y A D. Y B 99. In ABC, A = (2, 4), B = (3, 7) and C = (6, 3). What angle is largest? A. A B. B C. C D. None of these 100. In RST R 4x 20, S 5 x, and T x 60. Choose the list of sides of RST that are ordered correctly from longest to shortest. A. TR, RS, ST B. ST, RS, TR C. RS, ST, TR D. ST, TR, RS 101. In RST R 60, S 2x 40, and T x 20. Choose the list of sides of RST that are ordered correctly from longest to shortest. A. TR, ST, RS B. ST, RS, TR C. RS, ST, TR D. ST, TR, RS 102. In RST R x 10, S x 5, and T 3x 35. Choose the list of sides of RST that are ordered correctly from longest to shortest. A. RS, ST, TR B. ST, RS, TR C. TR, RS, ST D. ST, TR, RS Figure A C Figure B C x+2 2x+1 H 10x x+2 A 5x+2 G x+10 B A x+6 B 103. If CG is a median of ABC in figure A above, what is BC? A. 2 B. 4 C. 5 D. None of the above 104. If BH is an altitude of ABC in figure B above, what is BC? A. 8 B. 9 C. 11 D. None of the above 105. Two sides of a triangle are 4 cm and 10 cm. What is a possible measurement of the third side? A. 8 cm B. 2 cm C. 15 cm D. 14 cm

11 106. In ABC, A 59, B 60, and C 61. What side is longest? A. AB B. AC C. CB D. C 107. In ABC, AB = 13 cm, BC = 12 cm, and AC = 16 cm. What angle is smallest? A. A B. B C. C D. None of the above 108. Which below is a possible measurement for an isosceles triangle? A. 4, 4, 8 B. 7, 7, 13 C. 2, 2, 5 D. 1, 1, If ABC XYZ, A 40, C 80, what is the measurement of X? A. 40 B. 70 C. 80 D If ABCD is a parallelogram with A 7 x and B 3x 20, what is the measurement of C? A. 20 B. 40 C. 80 D If ABCD is an isosceles trapezoid with A 50, what is C? A. 50 B. 100 C. 130 D Which of the following is not always true about a parallelogram? A. the diagonals bisect each other B. opposite sides are equal in length C. opposite angles are equal D. diagonals are perpendicular Opposite angles are not always congruent in a A. rhombus B. parallelogram C. trapezoid D. rectangle 114. NO is the base of isosceles trapezoid NRPO. If N 4x 10 and O 6x 4, what is the value of x? A. 2 B. 3 C D If ABCD is an isosceles trapezoid with AB = CD, B is congruent to A. A B. C C. D D. X 116. Diagonals are always perpendicular in a A. parallelogram B. trapezoid C. rhombus D. rectangle A B E D C 117. If AE = 4n 8, DE = 2n + 6, and CE = n + 4 in the parallelogram above, what is the value of n? A. -2 B. 2 C. 4 D If ADC 80 in the parallelogram above, what is DCB? A. 40 B. 80 C. 100 D. 120

12 119. If in the parallelogram above DC = 3n + 20, BC = n + 10, and AB = 4n 10, what is n? A B. 6 3 C. 30 D. None of the above 120. What of the following could be a fourth point in a parallelogram if three of the points are (0, 0), (6, 0) and (3, 4)? A. (9, 4) B. (6, 4) C. (4, 6) D. (4, 9) 121. Which is the equation that has a slope of 2 and goes through the point (1, 9). A. y = 2x + 7 B. y = 2x 9 C. y = 2x + 9 D. y = 2x Which equation below is perpendicular to y = ½ x 7? A. y = 2x + 7 B. y = -2x 1 C. y = ½ x + 7 D. y = x Let p and q be p: A is acute q: B is acute What would represent A is acute or B is acute? A. p q B. p q C. p q D. p q 124. Assume the following: p: A is acute q: B is acute n: C is obtuse What would represent If C is obtuse, then A is acute and B is acute.? A. n p q B. n p q C. p n q D. p n q a ll b a b What is the measurement of 1 above? A. 20 B. 30 C. 70 D What is the measurement of 3 above? A. 20 B. 30 C. 70 D What is the measurement of 6 above? A. 20 B. 30 C. 70 D. 80

13 20 a 5 4 a ll b b What is the measurement of 1 above? A. 80 B. 30 C. 40 D What is the measurement of 3 above? A. 80 B. 30 C. 40 D What is the measurement of 6 above? A. 80 B. 30 C. 40 D a 5 a ll b b 131. What is the measurement of 2 above? A. 140 B. 130 C. 90 D What is the measurement of 3 above? A. 80 B. 30 C. 40 D What is the measurement of 5 above? A. 80 B. 90 C. 100 D. 70

14 a a ll b b What is the measurement of 1 above? A. 140 B. 40 C. 30 D What is the measurement of 4 above? A. 140 B. 40 C. 30 D What is the measurement of 6 above? A. 140 B. 40 C. 30 D. 10 a ll b a 50 5 b 137. What is the measurement of 4 above? A. 80 B. 130 C. 40 D What is the measurement of 2 above? A. 80 B. 130 C. 40 D What is the measurement of 6 above? A. 80 B. 130 C. 40 D. 50

15 11 L M X 9 J 7 K 140. When comparing JMK and MJX above, what is true? A. JMK > MJX B. JMK < MJX C. JMK = MJX D. It cannot be determined 141. In ABC A 8x 12, B 15x 40, and C 10x 10. Determine the longest side of ABC. A. AB B. AC C. CB D. A 142. What equation would be perpendicular to y = 2x A. y = -x 5 B. y = -2x 5 C. y = x 5 D. y = x What is the distance from (1, 5) to (7, 6)? A. 37 B. 23 C. 24 D. None of the above R S U V R X Z W Y T I II III Which side is longest in figure I above? A. RT B. ST C. RS D. Not possible Which side is longest in figure II above? A. UV B. VW C. UW D. Not possible Which side is longest in figure III above? A. RX B. RZ C. RY D. ZY

16 147. If BCDE is congruent to OPQR, then DE is congruent to? A. PR B. PQ C. QR D. OP L N M x Figure 1 (3x-50) Figure 2 (7x) P Figure 3 O 148. In figure 1 above, what is the value of x? A. 15 B. 38 C. 71 D In figure 2 above, what is the value of x? A. 40 B. 13 C. 23 D. None of the above 150. What additional information is needed to prove that MNL is congruent to PNO by ASA? A. MN PN B. ML PO C. L O D. M P 151. Which below is an example of the transitive property? A. If A B and C D, then A= D B. If A B and C D, then B= D C. If A B and B D, then A= D D. None of the above 152. Line a and line b are perpendicular to each other. If line a has a slope of 4, what is the slope of line b? A. 4 B. -4 C. 1 1 D If ABC ERT with AB = 10, BC = 13, A 39, and R 88, what is RT? A. 39 B. 88 C. 10 D. 13

17 Figure 1 Figure 2 Figure 3 2n n + 5 4n 5n n n 4n n n 2n n - 5 4n 6n What is the value of n in figure 1 above. A. 16 B. 20 C. 25 D. 50 What is the value of n in figure 2 above. A. 16 B. 20 C. 25 D. 50 What is the value of n in figure 3 above. A. 16 B. 20 C. 25 D Which equation below would be perpendicular to y = ½ x 4? A. y = 2x 4 B. y = -2x + 7 C. y = ½ x + 4 D. y = 8x Below are the measurements of the lengths of the side of a square. Which measurement would make the area of the square equal the perimeter of the square? A. 2 B. 3 C. 4 D What measurement below for A and B would make the angles vertical angles and at the same time possibly consecutive interior angles? A. 40 B. 45 C. 90 D Who was Mr. Hickam s favorite college professor when he was at Hampden-Sydney? A. Albert Einstein B. Martha Stewart C. Eminem D. Lee Cohen Which of the following quadrilaterals could have diagonals that are congruent but do not bisect each other? A. rhombus B. rectangle C. trapezoid D. parallelogram In which of the following do the diagonals bisect the angles? A. rhombus B. rectangle C. trapezoid D. parallelogram 163. If ABCD is a parallelogram with A x and D 2x 3, what is the value of x? A. 3 B. 31 C. 61 D Opposite angles are always congruent in a(n) A. trapezoid B. quadrilateral C. parallelogram D. isosceles trapezoid Not all rectangles have. A. diagonals that bisect each other C. four congruent sides B. diagonals that are congruent D. consecutive angles that are supplementary.

18 166. Which of the following is NOT true of parallelograms? A. The opposite sides are congruent C. Consecutive angles are complementary B. The opposite angles are congruent D. The diagonals bisect each other 167. What is D in parallelogram ABCD if A = (0, 0), B = (7, 0), and C = (9, 4)? A. (2, 4) B. (9, -3) C. (16, 4) D. (9, 11) 168. What is D in parallelogram ABCD if A = (0, 0), B = (15, 0), and C = (13, 4)? A. (13, 19) B. (28, 4) C. (-2, 4) D. (13, -11) 169. If ABCD is a parallelogram with A 7 x and B 3x 20, what is the measurement of C? A. 10 B. 40 C. 70 D If ABCD is an isosceles trapezoid with A 32, what is C? A. 32 B. 64 C. 146 D Which of the following is NOT always true about a parallelogram? A. the diagonals bisect each other C. opposite sides are equal in length B. opposite angles are equal D. diagonals are perpendicular Opposite angles are NOT always congruent in a A. rhombus B. parallelogram C. trapezoid D. rectangle Diagonals are always perpendicular in a A. parallelogram B. trapezoid C. rhombus D. rectangle If two sides of a triangle have the measurements of 3 and 7, what could the third leg be? A. 4 < m > 10 B. 4 m 10 C. 4 < m < 10 D. None of the above If two sides of a triangle have the measurements of 8 and 7, what could the third leg be? A. 1 < m < 15 B. 1 m 15 C. 7< m < 8 D. None of the above If two sides of a triangle have the measurements of 9 and 9, what could the third leg be? A. 1 < m < 18 B. 0 < m 18 C. 0 < m < 9 D. None of the above If two sides of a triangle have the measurements of 1 and 1, what could the third leg be? A. 1 < m < 1 B. 0 > m < 2 C. 0 < m < 2 D. None of the above 178. In ABC A = (3, 4), B = (2, -1), and C = (9, 2). Which angle is largest? A. A B. B C. C D. It can t be determined In ABC A = (4, 1), B = (6, 8), and C = (7, 3). Which angle is largest? A. A B. B C. C D. It can t be determined What is the distance from (9, 8) to (7, 10)? A. 5 B. 8 C. 10 D If a circle has a diameter of 28 cm, what is its area? A. 14 B. 28 C. 56 D. 196

19 If a circle has a diameter of 28 cm, what is its circumference? A. 14 B. 28 C. 56 D. 196 Which below is the symbol for the word therefore? A. B. C. D. Which below is the symbol for approximately? A. B. C. D. Which below is the symbol congruency? A. B. C. D. Figure 1 Figure 2 Figure 3 Figure 4 40 cm Figure 5 8 cm x x 6 cm 8 cm x 41 cm 37 cm 12 cm 4 cm 8 cm 40 cm x What is the value of x in figure 1 above? (Round answer to the nearest tenth.) A. 8.9 B. 9.9 C D What is the area of figure 2 above? (Round answer to the nearest tenth.) A cm 2 B cm 2 C cm 2 D cm 2 What is the value of x in figure 3 above? A. 8.9 B C D What is the value of x in figure 4 above? A. 8 B. 9 C. 11 D. 15 What is the value of x in figure 5 above? A B. 35 C. 37 D. 38.9

20 Figure 1 A Figure 2 Figure 3 A A 2x B 38 C D 76 E F G B 10x C D 38 D C B 191. In figure 1 above, ABG and DAE are isosceles triangles and CAF is an equilateral triangle. Find the measurement of EAF. A. 14 B. 16 C. 18 D In figure 2 above, what is the measurement of CAD if ABD is an equilateral triangle? A. 16 B. 24 C. 40 D In figure 3 above, AB = AC = DC. What is the measurement of CAB? A. 15 B. 28 C. 34 D If the area of a circle is cm 2, what is the circle s circumference? A cm B cm C cm D cm How many sides does a dodecagon have? A. 9 B. 10 C. 12 D Let A = (7, 8), B = (9, 13), and C = (14, 14). How far is it to go from A to C and then to B? A B C D B is between A and C. AB = 2n, BC = n + 11, and AC = 44. What is the numerical length of AB? A. 18 B. 22 C. 24 D Rounding to the nearest whole number, what is the perimeter of a triangle with the following vertices: (2, 2) (4, 6) (3, 10) A. 17 B. 18 C. 20 D. 22 In ABC, X is the midpoint of AB, Y is the midpoint of BC, and Z is the midpoint of AC. A = (2, 5) B = (10, 15) C = (18, 17) What is XY? A. 9 B. 10 C. 12 D. 13 A right triangle has a hypotenuse of 13 cm and its area is 30 cm. What is the perimeter of the right triangle? A. 18 B. 22 C. 24 D. 30

21 201. All of the points in this problem are collinear. B is the midpoint of AC. X is the midpoint of AB. Y is the midpoint of BC. D is the midpoint of XB. F is the midpoint of DB. If DF = 2cm, what is AC? A. 24 B. 28 C. 30 D Assume the statement p r. What is the converse of the inverse of the contrapositive of this statement? A. p r B. p ~r C. ~p r D. r p In a class of 28 students, 20 students are studying French, 12 students are studying Spanish and 8 are studying both French and Spanish. How many students in this class are studying neither French nor Spanish? A. 4 B. 6 C. 8 D. 10 Give the equation of the line that goes through the point (2, 3) and is perpendicular to the line that goes through the points (1, 4) and (7, 5). A. y = -6x + 12 B. y = -6x + 15 C. y = 6x + 12 D. y = 6x + 15 ABC is a right isosceles triangle with A located at the point (2, 3) and CAB = 90. If AB = 6 and AC = 6, what is BC? (Round answer to the nearest tenth.) A. 6.5 B. 7.2 C. 7.8 D. 8.5 Figure 1 Figure 2 Figure 3 Figure In figure 1 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. SSS E. Not able to be proven In figure 2 above, what postulate would prove congruency? A. SSS B. SAS C. ASA D. AAS E. Not able to be proven In figure 3 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 4 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. SSS E. Not able to be proven

22 Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure In figure 1 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 2 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 3 above, what postulate would prove congruency? A. HL B. SSS C. ASA D. AAS E. Not able to be proven In figure 4 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 5 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 6 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 7 above, what postulate would prove congruency? A. HL B. SSS C. ASA D. AAS E. Not able to be proven In figure 8 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 9 above, what postulate would prove congruency? A. SSS B. SAS C. ASA D. AAS E. Not able to be proven In figure 10 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven In figure 11 above, what postulate would prove congruency? A. HL B. SAS C. ASA D. AAS E. Not able to be proven

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