+2 u, 2s ) [D] ( r+ t + u, 2s )

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Wilfrid Caldwell
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1 1. Isosceles trapezoid JKLM has legs JK and LM, and base KL. If JK = 3x + 6, KL = 9x 3, and LM = 7x 9. Find the value of x. [A] 15 4 [] 3 4 [] 3 [] 3 4. Which best describes the relationship between the lines with equations 0x+ 0 = 8 and 5x+ 5 =? [A] neither parallel nor perpendicular [] same line [] parallel [] perpendicular 5. Find the midpoint of the midsegment of the trapezoid with vertices O 0, 0, ( 4, 4 ), ( 4t, 4 s), and ( 4u, 0). A b g A r s. A field is 180 m b 300 m. A barn 19 m b 31 m is built in the field. How much area is left over? [A] 54, 589 m [] 53, 411 m [] 53, 398 m [] 53, 950 m 3. hoose the statement that is NOT alwas true. For an isosceles trapezoid. [A] the diagonals are congruent [] the legs are congruent [] the diagonals are perpendicular [] the base angles are congruent O [A] ( r+ t, s+ s) [] ( s+ t + u, s ) [] ( t + u, s ) [] ( r+ t + u, s ) 6. hoose the statement that is NOT ALWAYS true. For an parallelogram. [A] the diagonals bisect each other [] opposite sides are congruent [] opposite angles are congruent [] the diagonals are perpendicular 7. The medians of a triangle are concurrent. Their common point is the. [A] centroid [] incenter [] circumcenter [] orthocenter x

2 1 8. A line parallel to = x+ 3 and passing through (0, 0) has the equation. [A] = 1 x 1 [] = x+ 6 1 [] = x [] = x 3 9. Find the area of the region shown b dividing it into two trapezoids. 7 [A] 900 sq. units [] 585 sq. units Find the values of x and. [A] x [] x 1 x 1 [] 1170 sq. units [] 79 sq. units = 58 ; = 1 [] x = 64 ; = 1 = 64 ; = 58 [] x = 58 ; = For the triangle shown, VS = 5 and VQ = 6. Then PQ =. [A] 5 [] 11 [] 1 [] hoose the statement that is NOT ALWAYS true. For a rhombus. [A] the diagonals are perpendicular [] the diagonals are congruent [] all four sides are congruent [] each diagonal bisects a pair of opposite angles 14. Refer to the figure. hoose the correct statement. 11. Name an angle complementar to O. A E O [A] O or AOE [] AO or OE [] OE [] O [A] x > 13 [] 10 < x < 13 [] x < 10 [] x = 13

3 15. Which of the following transformations represents an isometr? [A] 17. hoose the figure below which satisfies the definition of a kite. [A] preimage image [] [] preimage image [] [] [] preimage image [] preimage image 18. If KF is the perpendicular bisector of GH, then KGF. 16. A. Name the theorem or postulate that justifies the congruence. A [A] SAS [] AAS [] ASA [] HL [A] KFH [] KHF [] FKG [] KF

4 19. 1 and are supplementar angles. 1 and 3 are vertical angles. If m = 7, then find m 3. [A] 8 [] 18 [] 108 [] 7 [A] [] 0. Look at the arrangement of the sofa and chair in the room. [] Which room arrangement shows a translation of the arrangement above? [] (0.)

5 1. The change in position from the solid figure to the dotted figure is best described as a x 10 [A] transmission [] translation [] rotation [] reflection. Use the graph below to complete the sentence. 10 A 10 A 10 x 10 Figure A is the image of figure A under a rotation [A] 90 clockwise about the origin. [] 90 counterclockwise about the origin. [] 70 about the origin. [] 180 about the origin.

6 3. What are the coordinates of the vertices when the figure is reflected in line m? 10 Y 10 W 10 x 10 X [A] W (4, 1), X ( 3, 4), Y ( 5, 1) [] W (4, 1), X (3, 4), Y ( 5, 1) [] W ( 1, 10), X (4, 3), Y (1, 1) [] W (10, 1), X (3, 4), Y (1, 1) m 4. Rectangle PQRS is rotated 90 clockwise about point O. Find the image of PS. 5. Which of the following is NOT true? [A] A parallelogram has rotational smmetr and ma have line smmetr. [] A regular hexagon has rotational smmetr and alwas has line smmetr. [] A triangle has rotational smmetr and alwas has line smmetr. [] A rectangle has rotational smmetr and alwas has line smmetr. A Q O R P S [A] A [] A [] QR [] PQ

7 6. The motion rule for this transformation of A onto A is. 9. Find the distance between the points (, 3) and ( 3, 1). [A] 17 [] 17 [] 9 [] 9 [A] (x, ) (x 6, 5) [] (x, ) (x 5, 6) [] (x, ) (x + 6, + 5) [] (x, ) (x + 5, + 6) 7. Given: AE bisects A. Find E if = 1 and E = 7. (not drawn to scale) E A [A] 51 [] 75 [] 93 [] ecide which one of the following statements is false. [A] Three noncolinear points determine a plane. [] An three points lie on a distinct line. [] Through an two distinct points there exists exactl one line. [] A line contains at least two points.

8 30. In the figure, 1 and are. n l m 1 [A] alternate interior angles [] alternate exterior angles [] consecutive interior angles [] corresponding angles 31. Name an obtuse triangle A [A] [] A [] A [] none of these 3. A RIGI TRANSFORMATION alwas maps a figure onto. [A] a similar figure [] a congruent figure [] its mirror image [] itself

9 33. Which glide reflection could map figure A to figure A? 10 A 10 A 10 x 10 [A] Translation: x, x+1, Reflection: in x = 1 b g b b g b [] Translation: x, x, + 1 Reflection: in = 1 b g b [] Translation: x, x, Reflection: in = 1 b g b [] Translation: x, x, Reflection: in x = 1 g g g g 36. Which of the following is an example of the Transitive Propert? [A] If = x, then x =. [] If x+ 5 = and =, then x + 5 =. [] x+ 5 = x+ 5 [] If x = 5, then x = A line parallel to = x 7 is. 3 3 [A] = x+ 1 [] = x+ 3 3 [] = x 7 [] = x If RS = 44 and QS = 55.1, find QR. Q R S [A] 99.1 [] 1.1 [] 44 [] 11.1

10 37. Refer to the figure below. Given: AF F, AE E A median of A is. [A] E [] [] F [] GF 38. lassif The medians of a triangle are concurrent. Their common point is the. [A] incenter [] centroid [] orthocenter [] circumcenter 41. T is the midpoint of PQ. Which one of the following is not an appropriate statement? [A] PT = TQ [] PT = TQ [] PT + TQ = PQ [] PT TQ 10 [A] Equilateral [] Scalene [] Isosceles [] none of these 39. Name an angle complementar to O. A E O [A] O or AOE [] AO or OE [] O [] OE

11 4. Point A( 4, ) is translated b the vector v = 7, 4 and then reflected in the line = x onto A. The coordinates of its image A are. Ab 4, g x 4 [A] ( 3, ) [] (3, ) [] (, 3) [] (3, ) 43. Given: E and F. What other piece of information is needed to show A EF b ASA ongruence Postulate? [A] = F [] A [] EF FE [] EF 44. Find m 1 in the figure below. PQ and RS are parallel. P 73 Q R 1 S [A] 73 [] 17 [] 97 [] 107

12 45. Find the value of x x [A] 6 [] 115 [] 69 [] The composition of two (or more) isometries is alwas. [A] a reflection [] an isometr [] a translation [] a rotation 47. Two sides of a triangle have sides 3 and 9. The length of the third side must be greater than and less than. [A] 3, 9 [] 5, 13 [] 6, 1 [], PR is an altitude of PQR. Therefore, PQR is. [A] equilateral [] acute [] isosceles [] right 49. Find the slope of the line passing through the points A( 4, 3) and ( 1, 8). [A] 1 [] 3 11 [] If angle ROS is acute and angle TOR is right, then angle TOS is what kind of angle? [] 7 11 T S O R [A] right [] acute [] obtuse [] straight

13 Reference: [ ] [1] [A] Reference: [ ] [1] [] Reference: [ ] [3] [] Reference: [ ] [] [] Reference: [ ] [13] [] Reference: [ ] [4] [A] Reference: [ ] [3] [] Reference: [ ] [14] [A] Reference: [ ] [5] [] Reference: [ ] [4] [] Reference: [ ] [15] [] Reference: [ ] [6] [] Reference: [ ] [5] [] Reference: [ ] [16] [] Reference: [ ] [7] [] Reference: [ ] [6] [] Reference: [ ] [17] [A] Reference: [13..30] [8] [] Reference: [ ] [7] [A] Reference: [ ] [18] [] Reference: [13.1.9] [9] [] Reference: [ ] [8] [A] Reference: [13..48] [19] [] Reference: [ ] [30] [] Reference: [ ] [9] [] Reference: [ ] [0] [A] Reference: [ ] [31] [] Reference: [ ] [10] [] Reference: [ ] [1] [] Reference: [ ] [3] [] Reference: [ ] [11] [] Reference: [ ] [] [] Reference: [ ] [33] []

14 Reference: [ ] [34] [A] Reference: [13.1.6] [35] [] Reference: [13..38] [36] [] Reference: [ ] [37] [] Reference: [ ] [38] [] Reference: [13.1.3] [39] [] Reference: [ ] [45] [] Reference: [ ] [46] [] Reference: [ ] [47] [] Reference: [ ] [48] [] Reference: [ ] [49] [] Reference: [ ] [50] [] Reference: [ ] [40] [] Reference: [ ] [41] [] Reference: [ ] [4] [] Reference: [ ] [43] [] Reference: [ ] [44] []

Common Core Readiness Assessment 4

Common Core Readiness Assessment 4 ommon ore Readiness ssessment 4 1. Use the diagram and the information given to complete the missing element of the two-column proof. 2. Use the diagram and the information given to complete the missing