Independent Assignment Lesson 13

Here are 2 polygons: Select all sequences of translations, rotations, and reflections below that would take polygon P to polygon Q.

• Rotate 180° around point A.

• Rotate 60° counterclockwise around point A and then reflect over the line FA.

• Translate so that A is taken to J. Then reflect over line BA.

• Reflect over line BA and then translate by directed line segment BA.

• Reflect over the line BA and then rotate 60° counterclockwise around point A.

The semaphore alphabet is a way to use flags to signal messages. Here's how to signal the letter Q. What transformation would take the left hand flag to the right hand flag?

• Rotate the left flag 90 degrees clockwise

• Rotate the left flag 180 degrees

• Rotate the left flag 135 counterclockwise

• Flip the left flag vertically

Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.

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Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.

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Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.

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Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line segment.

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What is the image of quadrilateral ABCD when translated by the directed line segment v?

• A'B'C'D'

• ABCD

• A''B''C''D''

• None of the above

Here is a line ℓ. Which of the following points stay in the same place when they are reflected over ℓ?

Here are 3 points in the plane. Select all the straightedge and compass constructions needed to locate the point that is the same distance from all 3 points.

• Construct the perpendicular bisector of BC.

• Construct the perpendicular bisector of AB.

• Construct the bisector of angle CAB.

• Construct the bisector of angle CBA.

• Construct a line perpendicular to AB through point C.

This straightedge and compass construction shows quadrilateral ABCD.

Is ABCD a rhombus?

• Yes, because all sides are equal.

• No, because not all sides are equal.

• Yes, because all angles are equal.

• No, because not all angles are equal.