Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 9
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7 Questions
1
1.
Which construction can be used to determine whether point C is closer to point A or point B?
Which construction can be used to determine whether point C is closer to point A or point B?
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1
2.
The diagram is a straightedge and compass construction. Lines l, m, and n are the perpendicular bisectors of the sides of triangle ABC. Select all the true statements.
The diagram is a straightedge and compass construction. Lines l, m, and n are the perpendicular bisectors of the sides of triangle ABC. Select all the true statements.
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1
3.
Decompose the figure into regions that are closest to each vertex. Explain or show your reasoning.
Decompose the figure into regions that are closest to each vertex. Explain or show your reasoning.
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1
4.
Which construction could be used to construct an isosceles triangle ABC given line segment AB?
Which construction could be used to construct an isosceles triangle ABC given line segment AB?
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5.
Select all true statements about regular polygons.
Select all true statements about regular polygons.
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1
6.
This diagram shows the beginning of a straightedge and compass construction of a rectangle.The construction followed these steps:
- Start with two marked points A and B
- Use a straightedge to construct line AB
- Use a previous construction to construct a line perpendicular to AB passing through A
- Use a previous construction to construct a line perpendicular to AB passing through B
- Mark a point C on the line perpendicular to AB passing through A
Explain the steps needed to complete this construction.
This diagram shows the beginning of a straightedge and compass construction of a rectangle.
The construction followed these steps:
- Start with two marked points A and B
- Use a straightedge to construct line AB
- Use a previous construction to construct a line perpendicular to AB passing through A
- Use a previous construction to construct a line perpendicular to AB passing through B
- Mark a point C on the line perpendicular to AB passing through A
Explain the steps needed to complete this construction.
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1
7.
This diagram is a straightedge and compass construction. Is it important that the circle with center B passes through D and that the circle with center D passes through B?
This diagram is a straightedge and compass construction. Is it important that the circle with center B passes through D and that the circle with center D passes through B?
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This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/9/index.html ; accessed 29/July/2021.
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