WARM UP:Describe in words how to rotate a

figure 90 degrees clockwise.

Honors GeometryUnit 2 Review

1. Use the given figure and line of reflection to draw the

reflected image. Use a ruler. Label all points.

ZXW

Y

2. Graph the figure and its image under the given reflection.

• Triangle ABC: A(-3, 2), B(0, 1), C(-2, -3)• Line y = x

3. Use the figure and translation vector to draw a translated image.

Label all points. Use a ruler.

VUT

W

4. Graph each figure and its image along the given vector.

• Quadrilateral LMNP• L(4, 2), M(4, -1), • N(0, -1), P(1, 4)• <-4, -3>

5. Which matrix calculation was used to transform

toPQR ''' RQP

4

2

-2

-4

-5 5

P'

R'

Q'

Q

RP

A.

B.

C.

D.

151

541

01

10

151

541

01

10

151

541

10

01

151

541

10

01

6. Graph each figure and its image after the specified rotation

about the origin.

• Triangle DEF• D(-4, 3),• E(1, 2), • F(-3, -3)• 180°

7. Triangle ABC has vertices A(1, 3), B(-2,-1) and C(3, -2)

Graph the triangle and its image after the given glide reflection.

• Translation • along <2, 0>• Reflection • across y axis

8. Does the figure appear to have line symmetry? If so, draw all lines of symmetry.

9. If with vertices D(-2, 6) F(2, 8) G(2, 3) is rotated 180° about the origin. Which matrix would be the vertex matrix for ?

DFG

''' GFD

386

222

222

386

386

222

222

386

A. B.

C. D.

10. has vertices J(0, 3) K(-2, -1) and L(-6, 1). When is reflected over the line x = -4, what are the coordinates of L’?

JKL

A. (-2, 1)

B. (6, 1)

C. (-10, 1)

D. (6, -1)

11. Using matrices, find the coordinates of the vertices of the

image of QRST after reflection across y = x. Graph both.

• Q(3, 2)• R(4, -3)• S(-3, -4)• T(-2, 1)

12. Using matrices, find the image of DEFG if it is

translated 1 unit left and 4 units up. Graph both.

• D(-4, -2)• E(0, -1)• F(2, -4)• G(-2, -5)

13. Using matrices, find the image of triangle VWX after it

is rotated 270° about the origin. Graph both.

• V(3, 2)• W(4, 1)• X(2, 1)

14. The vertex matrix for triangle XYZ isTriangle X’Y’Z’ is produced by translating 3 units right and 5 units down. What is the vertex matrix for triangle X’Y’Z’ ?

114

222

A. B.

C. D.

441

151

447

737

112

511

441

515

15. If ABCD is reflected across the x axis, which rule describes

the transformation?

A.(x’, y’) = (y, x)

B.(x’, y’) = (-y, x)

C.(x’, y’) = (x, -y)

D.(x’, y’) = (-x, y)

2

-2

-4

5

C

D

A

B

16. has vertices J(2, 2) K(3, 5) and L(6, 2). The triangle is translated along the vector <-1, -6> and reflected over the y axis. Which matrix represents the coordinates of

JKL

''' LKJ

252

632

414

521

414

521

414

521

A. B.

C. D.

17.

It is translated 2 units left and 5 units up. Then it is translated 6 units right and 6 units down. Which operation finds the correct coordinates of ?

252

632DEF

''' FED

555

222

252

632

666

666

252

632

111

444

252

632

111111

888

252

632

A B.

C. D.