Translation Quiz

What is the rule used to transform

△ABC to its image?

A (−3, 5), B(2, 8), C(−4, −5) and

A’(−3,−5), B ’(2, −8), C’(−4, 5)

• Rm(x, y) =(−y, −x), where the equation of line m is =−x

• Rn(x, y) = (y, x), where the equation of line n is y=−x

• Ry-axis(x, y) =(−x, y)

• Rx-axis(x, y) = (x−y)

Which of the following does a rigid motion preserve?

• side lengths only

• angle measures only

• side lengths and angle measures

• neither side lengths nor angle measures

Suppose the equation of line p is x= 2 and the equation of line q is x=−1. What translation is equivalent to (Rp∘ Rq)(△ABC)?

How far apart are parallel lines m and n such that T〈0,−12〉(△XYZ) =(Rn∘Rm)(△XYZ)?

What are the vertices of the image r(90°, O)(△BCD)?

• B’(−3, −3), C’(−1, 4), D’(2, 0)

• B’(3, 3), C’(1, −4), D’(−2, 0)

• B’(3, −3), C’(1, 4), D’(0, 2)

• B’(−3, −3), C’(−1, −4), D’(0, −2)

AB is rotated 120° clockwise about B. Then ̅AB is rotated 45° counterclockwise about A. What is the image of A as a composition of transformations?

• (r(120°, B)∘ r(−45°, A))(A)

• (r(45°, A)∘ r(−120°, B))(A)

The original figure prior to a transformation.

• Pre-image
• Image

Tags

CCSS.HSG.CO.A.2

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 is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right
• Translated 5 units down and 1 to the right
• Translated 8 units down and 5 units to the right
• Translated 5 units down and 4 units to the right

Tags

CCSS.HSG.CO.A.2

Determine how to translate triangle A'B'C' to triangle ABC.

• right two, down five
• right two, down 9
• left two, down 9
• left two, down 5

Tags

CCSS.HSG.CO.A.2