Rigid Transformations Practice Problems

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Tags

CCSS.8.G.A.3

What are the coordinates of C(-6, 2) and B(-1, -1) if rotated 90 degrees counterclockwise?

• C' (-6, 2), B' (-1, -1)

• C' (6, 2), B' (1, -1)

• C' (2, -6), B' (-1, -1)

• C' (-2, -6), B' (1, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

• Reflection over x-axis, then Rotation of 90 Degrees

• Rotation of -90 Degrees, then Reflection over y-axis

• Reflection over y-axis, then Rotation of -90 Degrees

• Rotation of 90 Degrees, then Reflection over x-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Tags

CCSS.HSG.CO.A.2

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