Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 4
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10 Questions
1
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.
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2.
A, B, and C are the centers of the 3 circles. How many equilateral triangles are there in this diagram?
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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.
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4.
Line segment CD is the perpendicular bisector of line segment AB. Is line segment AB the perpendicular bisector of line segment CD?
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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?
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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?
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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
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8.
he diagram was constructed with straightedge and compass tools. Name all segments that have the same length as segment AC.
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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.
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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?
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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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