# A triangle is rotated 35 degrees about the origin. What is true about the relationship between the image and the pre-image?

A) The lengths of the sides and the measures of angles are preserved, so the triangles are congruent. <--- * This one?
B) The lengths of the sides are enlarged and measures of the angles are preserved so the triangles are similar.
C) The lengths of the sides change and the measures of the angles change as well, so the triangles look nothing alike.
The lengths of the sides are reduced and measures of the angles are preserved, so one triangle is a reduction of the other.

1. A
2. B
3. B
4. C
5. C
6. B
7. C
8. B
9. D
10. C

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## U4 L3 Rotations Practice Test

1. A triangle is rotated 35° about the origin. What is true about the relationship between the image and the pre-image?
A, The lengths of the sides and the measures of the angles are preserved, so the triangles are congruent.

2. Which of the following are the coordinates of point F', the image of point F, after a rotation of 90° about the origin?
B, (-3, 0)

3. The coordinates of PRS are P(-3, 2) , R(2, 5) , and S(0, 0). Which of the following could be P'R'S' after a 270° rotation?
B

4. A segment with endpoints X(-6, 2) and Y(-1, -3) is rotated 90° about the origin. What are the coordinates of X' and Y'?
C, X'(-2, -6) and Y'(3, -1)

5. What is the angle of rotation about C that maps the solid figure to the dashed figure?
C, 270°

6. A segment with endpoints A(3, 1) and B(-1, -1) is rotated 90° about the origin. What are the coordinates of A' and B'?
B, A'(-1, 3) and B'(1, -1)

7. Point Y(-1, -3) is rotated 180° about the origin. What are the coordinates of its image, point Y'?
C, Y'(1, 3)

8. A segment with endpoints M(5, 9) and N(4, 3) is rotated 270°. What are the coordinates of M' and N'?
B, M'(9, -5) and N'(3, -4)

9. A segment with endpoints X(-6, 2) and Y(-1, -3) is rotated 180° about the origin. What are the coordinates of X' and Y'?
D, X(6, -2) and Y'(1, 3)

10. A Ferris Wheel is drawn on a coordinate plane so that the first car is located at the point (30, 0). What are the coordinates of the first car after a rotation of 270° about the origin?
C, (0, -30)

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2.B
3.B
4.C
5.C
6.B
7.C
8.B
9.D
10.C

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