Question 1 (3 points) Find the midpoint of the line segment connecting the pair of points (3, 10) and (3, 6).


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1 Geometry Semester Final Exam Practice Select the best answer Question (3 points) Find the midpoint of the line segment connecting the pair of points (3, 0) and (3, 6). A) (3, ) C) (3, ) B) (3, 4.5) D) (6, 4) Question (3 points) Points A, B, and C are collinear. Point B is between A and C. AB x BC 3x AC 9 Find the value of x. A) 7 C) 5 B) D) 9 Question 3 (3 points) What is the distance between the points (8, ) and (8, 5)? A) 93 C) 9 B) 3 D) 0 Question 4 (3 points) Find the midpoint of the line segment connecting the pair of points (0, ) and (8, 6). A) (, ) C) (4, ) B) (9, 4) D) (7, ) Question 5 (3 points) Find m JIH if m JIB 65 and m BIH 60. A) 5 C) 65 B) 60 D) 5 Question 6 (3 points) The triangles shown are the result of a reflection. What is the equation of the line of reflection? A) y = x C) y = 0 B) x = 0 D) xaxis
2 Question 7 (3 points) What is the distance between the points (7, 4) and (3, 6)? A) 4 C) 0 B) 5 D) 04 Question 8 (3 points) Points A, B, and C are collinear. Point B is between A and C. AB 3x 7 AC 34 BC x 7 Find the value of x. A) 8 C) 3 B) 6 D) 5 Question 9 (3 points) Triangle ABC is translated along vector < 7, 3 > to create the image A B C. What are the coordinates of the vertex A? A ( 6, 4 ) B (, ) C (, 4) A) (7, 3) C) (3, 7) B) (6, 4) D) (3, ) Question 0 (3 points) Describe one of the two rules that maps the preimage to its image in the picture below. A) ( x, y) 3 x, y 3 B) ( x, y) 3 x,3y ( x, y) x, y x, y C) D) ( x, y) x, y x, y Question (3 points) Describe the translation which maps the preimage into the image in the picture below. A) ( x, y) ( x 4, y 5) B) ( x, y) ( x 4, y 5) C) ( x, y) ( x 4, y 5) D) ( x, y) ( x 4, y 5)
3 Question (3 points) Describe the rule that maps the preimage to its image in the picture below. A), x y B) x, y C) x,y D) x, y Question 3 (3 points) If the figure has rotational symmetry, what is the smallest positive angle of rotation? A) 45 C) 90 B) 60 D) None of these Question 4 (3 points) Which triangle is created using the following construction? A) Regular Triangle C) Acute Triangle B) Right Triangle D) Obtuse Triangle Question 5 (3 points) How many lines of symmetry does the object have? A) none C) 5 B) 0 D)
4 Question 6 (3 points) Samantha is constructing a segment bisector. Which would be her first step(s)? A) C) B) D) Question 7 (3 points) How many lines of symmetry does the object have? A) 8 C) 4 B) D) 6 Question 8 (3 points) Describe the transformation. A) Clockwise rotation of 90 degrees around the origin. B) Counterclockwise rotation of 45 degrees around the origin. C) Rotation of 80 degrees around the origin. D) Counterclockwise rotation of 90 degrees around the origin. Question 9 (3 points) Given CBA HKI, find the value of x if CA = x + 9 and HI = 3x  A) x = 7 B) x = 9 C) x = 30 D) x = 36
5 Question 0 (3 points) Elias is constructing an equilateral triangle. Which of the following is his first step(s)? A) C) B) D) Question (3 points) Describe the transformation. A) Clockwise rotation of 90 degrees around ( 0, 0). B) Rotation of 80 degrees around ( 0, 0). C) Counterclockwise rotation of 90 degrees around ( 0, 0). D) Clockwise rotation of 70 degrees around ( 0, 0). Question (3 points) Which figure is the reflection of figure E over the xaxis? A) Figure F B) Figure A C) Figure H D) Figure E
6 Question 3 (3 points) Given XYZ JKL. Find the values of x if m Y (3x 9) and m K (7x 3). A) x = 3 B) x = 4 C) x = 7 D) x = 9 Question 4 (3 points) The measure of angle A is 85. Which angle has the smallest measurement? A) an angle congruent to angle A B) the complement of the angle A C) the angle A D) the supplement of the angle A Question 5 (3 points) Given that two angles are a linear pair, they must also be supplements. A) True B) False Question 6 (3 points) Two angles are complements. The smaller angle is half the size of the larger angle. What is the measure of the larger angle? A) 30 C) 45 B) 35 D) 60 Question 7 (3 points) Two vertical angles are congruent? A) Always B) Sometimes C) Never Question 8 (3 points) Two angles are complementary. One of the angles is 9 times larger than the other. What is the measure of the smaller angle? A) 9 C) 45 B) 8 D) 90 Question 9 (3 points) Angle and angle 8 are what type of angle pair? A) Corresponding Angles B) Alternate Interior Angles C) Same Side Interior Angles D) None of these
7 Question 30 (3 points) Angle 7 and angle 6 are what type of angle pair? A) Linear Pair B) Corresponding Angles C) Vertical Angles D) None of these Question 3 (3 points) Angle 4 and angle 6 are what type of angle pair? A) Alternate Interior Angles B) Vertical Angles C) Corresponding Angles D) None of these Question 3 (3 points) Find the value of x if a b. A) x = 6 B) x = 35 C) x = 60 D) None of these Question 33 (3 points) Find the value of x A) x = 3 B) x = 35 C) x = 43 D) None of these Question 34 (3 points) Find the value of x A) x = B) x = 37 C) x = 74 D) None of these
8 Question 35 (3 points) Angle b and what other angle are alternate exterior angles? A) h B) c C) a D) None of these Question 36 (3 points) Through a point P not on line t, there is exactly line to line t. A) adjacent C) perpendicular B) equidistant D) None of these Question 37 (3 points) Suppose we know that line PB is a perpendicular bisector to segment AC. Which theorem would allow us to state that AP = CP? A) Pythagorean Theorem B) Perpendicular Bisector Theorem C) Segment Addition Postulate D) Converse of the Perpendicular Bisector Question 38 (3 points) Two planes intersect at a. A) point C) plane B) line D) None of these Question 39 (3 points) A right triangle has a leg with a length of 6 inches and another leg with a length of 8 inches. What is the length of the other leg? A) 4 in C) 0 in B) 06 in D) 56 in Question 40 (3 points) A right triangle has legs with a length of 7 inches. What is the length of the hypotenuse? A) 9 in C) 3 in B) 7 in D) none of these
9 Question 4 (3 points) Which of the sets of numbers below does not form a Pythagorean triple? A) 0, 8, 6 C) 3, 3, 3 B) 3, 4, 5 D) All of these are Pythagorean triples. Question 4 (3 points) Find the equation of a line in slope intercept form which is perpendicular to the line y x and contains the point (, 3). A) y x C) y x B) y x D) y x Question 43 (3 points) Find the equation of a line in slope intercept form which is parallel to the line y 3x and contains the point (, 7). A) y 3x 5 C) y 3x B) y 3x 7 D) y x 3 Question 44 (3 points) Find the equation of a line in slope intercept form which is parallel to the line y 0 and contains the point (6, 3). A) y 6 C) y 3 B) y 6x 3 D) x 3 Question 45 (3 points) Find the equation of a line in slope intercept form which is perpendicular to the line y x and contains the point ( 4, ). A) y x 3 C) y x B) y x 7 D) y x
10 Question 46 (3 points) Statements Reasons 5 ( x + 4 ) = 60 Given 5x + 0 = 60 Distributive Property 5x = 40 () x = 8 () Select the best pair of Reasons to fill in the blanks. A) () Subtraction property of equality () Division Property of Equality B) () Distributive Property () Multiplication Property of Equality C) () Subtraction Property of Equality () Symmetric Property of Equality D) None of the above Question 47 (3 points) Which theorem or postulate would be used to prove triangle congruence for the triangles shown below? A) SSS C) ASA B) SAS D) AAS Question 48 (3 points) Which theorem or postulate would be used to prove triangle congruence for the triangles shown below? A) SSS C) ASA B) SAS D) AAS
11 Question 49 (3 points) In order to use the ASA Congruence Theorem, which additional piece of information would be needed? A) N L C) ON OL B) PON MOL D) None of the above Question 50 (3 points) Which theorem or postulate would be used to prove triangle congruence for the triangles shown below? A) SSS C) ASA B) SAS D) AAS Question 5 (3 points) True or False  The HypotenuseLeg Congruence Theorem could be used to prove that these are congruent triangles. A) True B) False
12 Question 5 (3 points) Find the value of x. A) C) 5 B) D) Question 53 (3 points) Find the measure of the exterior angle. A) 58 C) 63 B) 59 D) None of the above Question 54 (3 points) Name the triangle A) Equilateral C) Regular B) Equiangular D) All of the above Question 55 (3 points) Solve for b: A) 3 C) 64 B) 58 D) 6
13 Question 56 (3 points) Describe the translation which maps the preimage ABC into the image Q in the picture below. A) ( x, y) ( x 3, y ) B) ( x, y) ( x, y ) C) ( x, y) ( x 3, y ) D) ( x, y) ( x 5, y ) Question 57 (3 points) Angle and angle 4 are what type of angle pair? A) Linear Pair B) Corresponding Angles C) Vertical Angles D) Same Side Interior Angle Question 58 (3 points) Find the value of x A) x = 50 B) x = 6 C) x = 0 D) x = 50 Question 59 (3 points) Suppose we know that l PA = PC and BA = BC and the measure of angle 3 is 64, then the measure of angle 4 is 6 is justified by which of the following statements? A) Segment Addition Postulate B) Converse of the Perpendicular Bisector C) Pythagorean Theorem D) Perpendicular Bisector Theorem
14 ANSWER KEY PLEASE CHECK FOR ACCURACY C 3 D C 3 B 3 B 33 B 4 B 34 B 5 D 35 D 6 B 36 C 7 D 37 B 8 D 38 B 9 D 39 C 0 D 40 D C 4 C C 4 D 3 D 43 C 4 A 44 C 5 A 45 A 6 C 46 A 7 B 47 B 8 D 48 D 9 C 49 C 0 D 50 A A 5 A B 5 D 3 B 53 D 4 B 54 D 5 A 55 A 6 D 56 C 7 A 57 A 8 A 58 D 9 D 59 B 30 C
7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.
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