Geometry Transformations and Symmetry

Given C(2, 9), under which reflection is C'(-2, 9)?

• reflected in the x-axis
• reflected in the y-axis
• reflected in the line x = 2
• reflected in the line y = x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the shown figures shows a translation?

• F
• G
• H
• J

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Name the image of C(6, -4) under a rotation 90 degrees about the origin.

• C'(4, 6)
• C'(-4, -6)
• C'(6, 4)
• C'(-6, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Name the image of C(3, -2) under a rotation of -90 degrees about the origin.

• C'(2, 3)
• C'(-2, -3)
• C'(3, 2)
• C'(-3, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Name the image of Z(-11, -6) along the translation vector    <1, 7>.

• Z'(-12, 1)
• Z'(-12, -13)
• Z'(-10, 1)
• Z'(-10, -13)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The point Z(4, -2) is rotated 180⁰ about the origin.  What is the image of Z?

• Z'(2, 4)
• Z'(-4, 2)
• Z'(-2, -4)
• Z'(-4, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How many lines of symmetry are in this equilateral triangle?

• 0
• 1
• 2
• 3

Tags

CCSS.4.G.A.3

The line segment TU with endpoints T(2, 1) and U(-5, 6) is rotated 90 degrees clockwise about the origin.  What is the coordinate of T'?

• T'(2, -1)
• T'(-2, -1)
• T'(1, -2)
• T'(-1, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A point R with coordinates (3, -1) is translated along the vector <-2, 3> and then reflected in the x-axis.  What are the coordinates of R''?

• R''(1, 2)
• R''(3, 1)
• R''(1, -2)
• R''(3, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Describe the Symmetry.

• The figure has rotational symmetry only
• The figure has only line symmetry.
• The figure has both rotational and line symmetry.
• The figure has no symmetry.

Tags

CCSS.HSG.CO.A.4