Name ___________________________ Date______________________ R Review Ditto I for Unit Test #5B Geometry Common Core

1. Which of the following transformations preserves angle measure, but not distance?

1) Dilation 3) Reflection

2) Rotation 4) Translation

2. Which is NOT a criterion for triangle similarity?

1) angle-angle 3) angle-side-angle

2) side-angle-side 4) side-side-side

3. Which pair of triangles must be similar?

1) Two right triangles

2) Two obtuse triangles

3) Two scalene triangles with congruent sides

4) Two isosceles triangles with congruent vertex angles

4. Similar triangles have:

1) Only their corresponding angles congruent

2) Both their corresponding angles and sides congruent

3) Only their corresponding sides proportional

4) Both their corresponding angles congruent and

corresponding sides proportional

5. What is the similarity ratio from triangle ABC to triangle A’B’C’?

1) 1 to 2

2) 2 to 1

3) 1 to 3

4) 2 to 3

6. In the diagram of and below, and intersect at C, and . Which

method can be used to show that must be similar to ?

1) SAS~

2) AA

3) SSS~

4) HL

7. If DEFD is dilated by a factor of 5, which of the following statements would be true?

8. If JK is dilated by a factor of 1:5 with a center point not on JK to produce image ' 'J K , then which of the following is true?

9. Point O is not on AB . When AB is dilated with the

center of dilation at O with a positive scale factor, image A 'B ' is shorter than AB . What must be true about the scale factor?

(1) The scale factor is k > 1

(2) The scale factor is k = 1

(3) The scale factor is 0 < k < 1

(4) The lengths of AB and A 'B ' are not related to scale

factor k.

10. In the diagram below of , with and , . Which statement is false?

1)

2)

3)

4)

11. Which of the following would be enough information to know that ~ABC MNPD D ?

12. Scalene triangle ABC is similar to triangle DEF. Which statement is false?

1)

2)

3)

4)

13. In the diagram below, is the image of after a reflection over the line AC followed by a dilation

of scale factor centered at point A. Which statement must be true?

1)

2)

3)

4)

14. AB , shown in the graph to the below, is dilated with a center of dilation at the origin and a scale factor of 52

.

Which of the following statements regarding AB is not true? (1) 𝐴𝐵 will be parallel to 𝐴#𝐵#

(2) 𝐴#𝐵# is an enlargement of 𝐴𝐵

(3) The coordinates of A’ will be (−5, 2.5)

(4) 5 ' '2

AB A B=

15.

16. The line represented by the equation is transformed by a dilation centered at the origin. Which linear equation could represent its image?

1)

2)

3)

4)

17. Rosa graphs the line y = 3x + 5. Then she dilates the line by a factor of 1/5 with (0, 7) as the center of dilation. Which statement best describes the result of the dilation?

1) The result is a different line 1/5 the size of the original line.

2) The result is a different line with a slope of 3.

3) The result is a different line with a slope of – 1/3.

4) The result is the same line

18. A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?

1) The line segments are perpendicular, and the image is one-half of the length of the given line segment.

3) The line segments are parallel, and the image is twice the length of the given line segment.

2) The line segments are perpendicular, and the image is twice the length of the given line segment.

4) The line segments are parallel, and the image is one-half of the length of the given line segment.

19. In the diagram below, , , , , and . Which triangle similarity statement is correct?

1) by AA.

2) by SSS.

3) by SAS.

4) is not similar to .

20. As shown in the diagram below, / /AC DBand .AE ACBE BD

= Which method(s) could be used to prove

~ ?AEC BEDD D

21. In the diagram below, and . Which statement is not sufficient to prove ?

1)

2) and 3) and

4) , , , and

22. Which similarity transformation maps ABC onto A’B’C’?

1) Dilation by factor of 2 and a Rotation about the point (0, 1)

2) Reflection over the origin and a Dilation by factor of 2

3) Rotation of 180 and a reflection over the line y=x

4) Translation followed by a dilation of 2

23. In the diagram below, , , and and are drawn. Which statement is always true?

1)

2)

3)

4)

24. In shown below, points T and O are on and , respectively. Segment OT is drawn so that . If , , and , what is the length of ?

25. The extendable ramp shown below is used to move crates of fruit to loading docks of different heights. When the horizontal distance AB is 4 feet, the height of the loading dock, BC, is 3 feet. What is the height of the loading dock, DE?

26. Solve for x.

27. Solve for a and b.

28. Solve for x and y.

29. Solve for x.

30. Solve for AD and BD.

15 5

x

16

oo

x

4

9

6

31. If PQ shown below, is dilated by a scale factor of 4 and centered at the origin, what is Q’?

(1) (16, 24)

(2) (8, 10)

(3) (1, 1.5)

(4) (0,2)

32. Lines m and n, shown in the diagram below, are both dilated by a scale factor of 2 with respect to the origin.

Which diagram shows lines m’ and n’, the images of line m and n after dilation?