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.
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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G.CO.13
1
2.
A, B, and C are the centers of the 3 circles. How many equilateral triangles are there in this diagram?
A, B, and C are the centers of the 3 circles. How many equilateral triangles are there in this diagram?
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G.CO.13
1
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.
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?
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?
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?
G.CO.12
G.CO.13
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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?
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?
G.CO.12
G.CO.13
1
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
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.
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.
Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the quadrilateral ACBD in this diagram.
G.CO.12
G.CO.13
1
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?
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?
G.CO.12
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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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