Transformations Review 5. A rectangle is shown below. The ...

Transformations Review

1. Which transformation 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)

2. If ABC is mapped onto DEF after a line reflection and DEF is mapped onto XYZ after a translation, the relationship between ABC and XYZ is that they are always

a. congruent and similar

b. congruent but not similar

c. similar but not congruent

d. neither similar nor congruent

3. In the diagram below, a sequence of rigid motions maps ABCD onto JKLM. If mA = 82?, mB = 104?, and mL = 121?, the measure of M is

a. 53?

b. 82?

c. 104?

d. 121?

4. Circle J is located in the first quadrant with center (a,b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin with radius t. Which sequence of transformations did Felipe use?

a. translate circle J by ( + , + ) and dilate

by

a

factor

of

b. translate circle J by ( + , + ) and dilate

by

a

factor

of

c. translate circle J by ( - , - ) and dilate

by

a

factor

of

d. translate circle J by ( - , - ) and dilate

by

a

factor

of

5. A rectangle is shown below. The rectangle is rotated 180 degrees about the origin. What are the new coordinates of point D?

a. (2, -2) b. (4, 2) c. (4, -2) d. (2, 2) 6. Triangle PQR will be rotated 270 degrees clockwise about the origin. What will be the coordinates of R'?

a. (4, -1) b. (1, -4) c. (4, 1) d. (-1, 4) 7. What is the image of R when RSTU is translated 3 units down and 6 units right? a. (-8, 13) b. (-2, 13) c. (1, 4) d. (-1,4)

8. Triangle RST has vertices (3, -2), (5, -3), (3, -5). The triangle will be rotated about the origin so that T' has coordinates (-5, -3). What will be the coordinates of R'?

a. (-3,2) b. (-2,-3) c. (2,3) d. (3,-2) 9. Which translation will carry the rectangle shown below onto itself?

a. reflection over the line y = 1 b. reflection over line m c. reflection over the line y = 1.5 d. reflection over the line x = 1 10. Triangle ABC and triangle ADE are shown. Select all the transformations that could be performed onto triangle ABC to show triangles ABC and ADE are congruent.

a. a reflection across the line = - b. a reflection across the x-axis, and then a reflection across the y-axis c. a rotation of 90 degrees clockwise about the origin and reflection across the y-axis d. a rotation of 90 degrees clockwise about the origin and reflection across the x-axis e. a rotation of 180 degrees clockwise about the origin and reflection across the line = -

11. Look at the trapezoid on the coordinate grid below. Which transformation will map the trapezoid onto itself?

a. a reflection across the line = 4 b. a 180 degree rotation clockwise about (4, 4) c. a reflection across the line = 4 d. a 90 degree rotation clockwise about (4, 4) 12. Octagon PQRSTVWZ is a regular octagon with its center at point C. Which transformation will map octagon PQRSTVWZ onto itself? Select all that apply. a. reflecting over b. reflecting over c. reflecting over d. rotating 45 degrees clockwise around point Z e. rotating 135 degrees clockwise around point C f. rotating 90 degrees counterclockwise around point C 13. In the coordinate plane, segment is the result of a dilation of segment . Which point is the center of the dilation and what is the scale factor of the dilation? a. (?4, 0) and ? b. (0, ?4) and 2 c. (0, ?4) and ? d. (?4, 0) and 2 14. When ABC is dilated by a scale factor of 2, its image is A'B'C'. Which statement is true? a. perimeter of ABC = perimeter of A'B'C' b. 2(area of ABC) = area of A'B'C' c. '' d.

15. The triangle is reflected across the line x=-1. Graph the image of the triangle after the reflection.

18. The triangle is rotated 180 degrees counterclockwise about the origin. Graph the image of the triangle after the rotation.

16. The triangle is rotated 90 degrees clockwise about the point (-1,1). Graph the image of the triangle after the rotation.

19. Two triangles are shown. Move a value to each blank to create a transformation that maps ABC to A'B'C'.

17. The triangle is reflected across the y-axis. Graph the image of the triangle after the rotation.

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