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1 Page 1 of 11 Name: 1) Which figure always has exactly four lines of reflection that map the figure onto itself? A) rectangle B) square C) regular octagon D) equilateral triangle ee4caab3 - Page 1 2) In the diagram below, a square is graphed in the coordinate plane. A reflection over which line does not carry the square onto itself? A) x + y = 4 B) y = x C) x = 5 D) y = 2 3) Which one of the following transformations of would result in an image parallel to? A) a clockwise rotation of 90 about the origin B) a reflection over the y-axis C) a translation of two units down D) a reflection over the x-axis

2 Page 2 of 11 ee4caab3 - Page 2 4) In the diagram below, which single transformation was used to map triangle A onto triangle B? A) translation B) line reflection C) dilation D) rotation 5) In the diagram below, ABC DEF. Which one of the following sequences of transformations maps ABC onto DEF? A) a rotation of 180 about the origin followed by a translation B) a counterclockwise rotation of 90 about the origin followed by a translation C) a reflection over the x-axis followed by a translation D) a reflection over the y-axis followed by a translation

3 Page 3 of 11 ee4caab3 - Page 3 6) Triangle A B C is the image of ABC after a dilation followed by a translation. Which statement(s) would always be true with respect to this sequence of transformations? I. ABC ABC II. ABC ~ ABC III. IV. AA = BB A) IV, only B) II and III, only C) II, III, and IV, only D) I and II, only 7) What sequence of transformations will map ABC onto A B C? A) translation and dilation B) rotation and reflection C) reflection and translation D) dilation and rotation 8) Two right triangles must be congruent if A) the corresponding legs are congruent B) the areas are equal C) an acute angle in each triangle is congruent D) the lengths of the hypotenuses are equal

4 Page 4 of 11 ee4caab3 - Page 4 9) Kelly is completing a proof based on the figure below. She was given that A EDF, and has already proven. Which pair of corresponding parts and triangle congruency method would not prove ABC DEF? A) CBA FED and ASA B) and SAS C) C F and AAS D) and SAS 10) On the set of axes below, rectangle ABCD can be proven congruent to rectangle KLMN using which transformation? A) reflection over the y-axis B) rotation C) reflection over the x-axis D) translation

5 Page 5 of 11 ee4caab3 - Page 5 11) In the diagram below, lines l, m, n, and p intersect line r. Which one of the following statements is true? A) m p B) l n C) m n D) l p 12) In the diagram below, bisects at B, and bisects at C. Which one of the following statements is always true? A) bisects at C. B) C) bisects at B. D) 13) In the diagram below of triangle MNO, M and O are bisected by and, respectively. Segments MS and OR intersect at T, and m N = 40. If m TMR = 28, what is the measure of angle OTS? A) 40 B) 60 C) 70 D) 50

6 Page 6 of 11 ee4caab3 - Page 6 14) In the diagram below, divides and proportionally, m C = 26, m A = 82, and bisects BDE. The measure of angle DFB is A) 36 B) 82 C) 54 D) 72 15) In the diagram below, m BDC = 100, m A = 50, and m DBC = 30. Which one of the following statements is true? A) m ABD = 80 B) ABC is isosceles. C) ABD is obtuse. D) ABD is scalene. 16) Given ABC with m B = 62 and side extended to D, as shown below. What value of x makes? A) 59 B) 118 C) 62 D) 121

7 Page 7 of 11 ee4caab3 - Page 7 17) In the diagram below of ABC, D, E, and F are the midpoints of,, and, respectively. What is the ratio of the area of CFE to the area of CAB? A) 1:1 B) 1:3 C) 1:4 D) 1:2 18) Given ABC DEF, which one of the following statements is not always true? A) m A = m D B) C) perimeter of ABC = perimeter of DEF D) area of ABC = area of DEF 19) Which one of the following transformations would not always produce an image that would be congruent to the original figure? A) translation B) dilation C) reflection D) rotation 20) The image of DEF is D E F. Under which transformation will the triangles not be congruent? A) a reflection over the line y = x B) a reflection through the origin C) a dilation with a scale factor of 1 centered at (2,3) D) a dilation with a scale factor of centered at the origin

8 Page 8 of 11 ee4caab3 - Page 8 21) The vertices of JKL have coordinates J(5,1), K( 2, 3), and L( 4,1). Under which transformation is the image J K L not congruent to JKL? A) a translation of two units to the right and two units down B) a counterclockwise rotation of 180 degrees around the origin C) a reflection over the x-axis D) a dilation with a scale factor of 2 and centered at the origin 22) In the diagram below, is the image of after a dilation of scale factor k with center E. Which ratio is equal to the scale factor k of the dilation? A) B) C) D)

9 Page 9 of 11 ee4caab3 - Page 9 23) The image of ABC after a dilation of scale factor k centered at point A is ADE, as shown in the diagram below. Which statement is always true? A) B) C) D) 24) If ABC is dilated by a scale factor of 3, which statement is true of the image A B C? A) 3(m C ) = m C B) m A = 3(m A) C) B C = 3BC D) 3A B = AB 25) Which one of the following transformations would result in the perimeter of a triangle being different from the perimeter of its image? A) (x,y) (y,x) B) (x,y) (x, y) C) (x,y) (4x,4y) D) (x,y) (x + 2,y 5) 26) A triangle is dilated by a scale factor of 3 with the center of dilation at the origin. Which one of the following statements is true? A) The slope of any side of the image is three times the slope of the corresponding side of the original triangle. B) The perimeter of the image is nine times the perimeter of the original triangle. C) The measure of each angle in the image is three times the measure of the corresponding angle of the original triangle. D) The area of the image is nine times the area of the original triangle.

10 Page 10 of 11 ee4caab3 - Page 10 27) In the diagram below, ABC DEC. If AC = 12, DC = 7, DE = 5, and the perimeter of ABC is 30, what is the perimeter of DEC? A) 17.5 B) 14.0 C) 14.8 D) ) In the diagram of ADC below,, AE = 9, ED = 5, and AB = 9.2. What is the length of, to the nearest tenth? A) 5.1 B) 14.3 C) 5.2 D) ) In the diagram of ABC, points D and E are on and, respectively, such that. If AD = 24, DB = 12, and DE = 4, what is the length of? A) 72 B) 16 C) 8 D) 12

11 Page 11 of 11 ee4caab3 - Page 11 30) Given MRO shown below, with trapezoid PTRO, MR = 9, MP = 2, and PO = 4. What is the length of? A) 3 B) 5 C) 4.5 D) 6 31) As shown in the diagram below, and intersect at E, and. Given AEC ~ BED, which equation is true? A) B) C) D) 32) In the diagram of right triangle ABC, intersects hypotenuse at D. If AD = 4 and DB = 6, which length of makes? A) 2 B) 4 C) 2 D) 2

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