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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 4

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other. Explain how we know triangle ABC is equilateral.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

A, B, and C are the centers of the 3 circles. How many equilateral triangles are there in this diagram?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other. Select all the true statements.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Line segment CD is the perpendicular bisector of line segment AB. Is line segment AB the perpendicular bisector of line segment CD?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Here are 2 points in the plane.

Using only a straightedge, can you find points in the plane that are the same distance from points A and B?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Here are 2 points in the plane.

Using only a compass, can you find points in the plane that are the same distance from points A and B?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

In this diagram, line segment CD is the perpendicular bisector of line segment AB. Assume the conjecture that the set of points equidistant from A and B is the perpendicular bisector of AB is true. Select all statements that must be true.

AB \perp CD

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

he diagram was constructed with straightedge and compass tools. Name all segments that have the same length as segment AC.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the quadrilateral ACBD in this diagram.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

In the construction, A is the center of one circle and B is the center of the other. Which segment has the same length as AB?

This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 4. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/4/index.html ; accessed 29/July/2021.

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