1. 1. a)Draw triangle A after the translation (x, y) → (x+1, y−2). Label the new triangle B.

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1. 1. b) Draw triangle A after it has been reflected over the y-axis. Label the new triangle C.

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1. 1. c) Draw triangle A after it has been rotated 90° clockwise about the origin. Label the new triangle D

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1. 1. d)Draw triangle A after it has been reflected over the line y = -2. Label the new triangle E.

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2. 2. Select all the sequences of transformations that would take triangle A onto triangle P.

• Reflection over the y-axis, translation up 2 units, translation right 2 units.

• Reflection over the x-axis, rotation of 90° clockwise about the origin, translation 1 unit right.

• Translation 4 units right, translation 2 units up, reflection over the x-axis.

• Reflection over the line x = 1, translation 2 units up.

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3. 3. Which transformation of OA would result in an image parallel to OA?

• A translation of two units down

• A reflection over the x-axis

• A reflection over the y-axis

• A clockwise rotation of 90° about the origin

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4. 4. Given this regular hexagon, select all of the following that describe its reflection and rotation symmetry.

• No reflection symmetry

• No rotation symmetry

• Exactly six lines of reflection symmetry

• 60-degree angle of rotation symmetry

• Exactly three lines of reflection symmetry

5. 5. Select all true statements.

• Figures with 180-degree rotation symmetry have opposite sides that are congruent.

• All regular polygons have rotation symmetry.

• Figures with no reflection symmetry have no rotation symmetry.

• All quadrilaterals have 90-degree rotation symmetry.

6. 6. ABCD is a rectangle. Trapezoid AEFB is congruent to trapezoid CFED. Point G is the midpoint of segment EF. Select all the ways we could describe the rigid transformation that takes AEFB to CFED.

• Reflect AEFB across line EF.

• Rotate AEFB 180 degrees counterclockwise around point G.

• Rotate AEFB 180 degrees clockwise around point G.

• Translate AEFB by the directed line segment from F to E, and then reflect across line FE.

• Translate AEFB by the directed line segment from F to E, and then rotate 180 degrees clockwise around point E.

7. 7. Which of the following is m∠WZX? Write your reason on paper and submit.

• 48°

• 52°

• 80°

• 128°

• 132°

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