Rigid Transformations Practice Problems

Triangle \(ABC\) has coordinates \(A = (1, 3), B = (2,0),\) and \(C = (4,1).\) The image of this triangle after a sequence of transformations is triangle \(A’B’C’\) where \(A’ = (\text-5,\text-3), B’ = (\text-4,0),\) and \(C’ = (\text-2,\text-1).\). Write a sequence of transformations that takes triangle \(ABC\) to triangle \(A’B’C’\).

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CCSS.8.G.A.3

Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment \(BC\) by 180 degrees. Describe the result.

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CCSS.8.G.A.3

Prove triangle \(ABC\) is congruent to triangle \(DEF\).

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CCSS.HSG.SRT.B.5

This design began from the construction of an equilateral triangle. Record at least 3 rigid transformations (rotation, reflection, translation) you see in the design.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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NC.M2.G-SRT.2

Mathematical Equivalence

ON

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NC.M2.G-SRT.1b

• A

• B

• C

• D

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NC.M2.G-SRT.1a

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)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

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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)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5