REVIEW: Geometry Module 2 and Module 3...REVIEW: Geometry Module 2 and Module 3 l. Which statement describes the image? A Reflection in the line y = x B Rotation of 1800 about point

Name: Class: Date: ID: A

REVIEW: Geometry Module 2 and Module 3

l. Which statement describes the image?

A Reflection in the line y = x

B Rotation of 1800 about point

C Rotation of 1800 about the origin

D Translation right two units, down 2 units

2. A ABC is shown below. Suppose the triangle is translated using the rule (x,y) -> (x + 5, y - 7). What are the

coordinates of the image of vertex C after this transformation?

(-8, 6)

Name:

3. Apply the transformation to the triangle with the vertices: E(3, 0), F(l, —2), G(5, —4)

Identify and describe the transformation if (x, y) (x -- 6, y + 2)

This is a translation 6 units left and 2

units up.

This is a translation 2 units left and 6

units up.

4. Specify the rule that maps AEFG to AE'F'G'

A (x,y)->(x-2, y-6) B (x,y)->(x+6, y+2) C

This is a translation 6 units left.

This is a translation 6 units left and 2

units down.

(x,y)->(x-6, y-2) D (x,y)->(x+2, y+6)

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5. Identify the image of point 9) when A is reflected across the line y = x.

Draw the Pre-Image and the Image. List the coordinates of image A' •

6 10

6. Graph the polygon and its reflection across the y-axis. 0)

List the coordinates of the vertices of the image: J',K',L ',M'.

-s' (5,0)

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7. A triangle with vertices , QC —2, l), and is reflected across x=2.

Draw the pre-image and image. Identify the coordinates of point Q'

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8. Reflect the figure across the x-axis.

9. Rotate the figure 1800 about the origin. List the coordinates of the vertices of the image: S', T', V', U'

(kt-k

10. Draw the rotation of the triangle about the origin by 270 0

List the coordinates of the vertices of the image: J', K', L'.

( 311)

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ll. Draw the rotation of the triangle about point K by 900 .

List the coordinates of the vertices of the image: J', K', L'.

C (ill)

12. Apply the transformation of the polygon ABCD to WXYZ with the given vertices.

Identify and describe the transformation (x, y) —Y (—x, —y)

A(-3, 6), 13(-3, l), CO, 1), DO, 6)

Nam c: ID: A

13. Rotate ARSQ with vertices R(4, —1), S(5, 3), and g 3, l) by 900 about the origin then reflect over y -x.

(-3141)

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14. ARST is rotated 900 about the origin. Then its image is reflected across the x-axis.

Draw AR' ' S' ' T' after these 2 transformations. List the coordinates of the vertices o the image: R", S", T"

T (2B) Tl(-kli)