Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 13 - Formative Library | Library

Here are 2 polygons:

Select all sequences of translations, rotations, and reflections below that would take polygon P to polygon Q.

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

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

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

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

Rotate 180° around point A.

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

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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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Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C', and the image of D as D'.

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Here is a line l.

Plot 2 points, A and B, which stay in the same place when they are reflected over l. Plot 2 other points, C and D, which move when they are reflected over l.

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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 bisector of angle CBA.

Construct the perpendicular bisector of AB.

Construct the perpendicular bisector of BC.

Construct the bisector of angle CAB.

Construct a line perpendicular to BC through point A.

Construct a line perpendicular to AB through point C.

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This straightedge and compass construction shows quadrilateral ABCD. Is ABCD a rhombus? 

Yes

No

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This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/13/index.html ; accessed 29/July/2021.

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