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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 13

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Last updated about 1 year ago
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Question 1
1.

Question 2
2.

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.

Question 3
3.

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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Question 4
4.

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'.

Question 5
5.

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.

Question 6
6.

Question 7
7.

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

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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Here are 2 polygons:

Select all sequences of translations, rotations, and reflections below that would take polygon P to polygon Q.
Reflect over the line BA and then rotate 60° counterclockwise around point A.
Translate so that A is taken to J. Then reflect over line BA.
Rotate 60° counterclockwise around point A and then reflect over the line FA.

Rotate 180° around point A.
Reflect over line BA and then translate by directed line segment BA.
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 a line perpendicular to AB through point C.
Construct the perpendicular bisector of BC.
Construct the perpendicular bisector of AB.
Construct the bisector of angle CBA.
Construct a line perpendicular to BC through point A.
Construct the bisector of angle CAB.