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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 9

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Last updated about 1 year ago
7 questions
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Question 1
1.

Which construction can be used to determine whether point C is closer to point A or point B?

Question 2
2.

Question 3
3.

Decompose the figure into regions that are closest to each vertex. Explain or show your reasoning.

Question 4
4.

Which construction could be used to construct an isosceles triangle ABC given line segment AB?

Question 5
5.

Select all true statements about regular polygons.

Question 6
6.

This diagram shows the beginning of a straightedge and compass construction of a rectangle.
The construction followed these steps:

  1. Start with two marked points A and B
  2. Use a straightedge to construct line AB
  3. Use a previous construction to construct a line perpendicular to AB passing through A
  4. Use a previous construction to construct a line perpendicular to AB passing through B
  5. Mark a point C on the line perpendicular to AB passing through A
Explain the steps needed to complete this construction.

Question 7
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 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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Construct triangle ABC.
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.
Point L is closer to point B than it is to point A.
Point L is closer to point C than it is to point A or point B.
Point J is closer to point A than it is to point B or point C.
Point K is closer to point C than it is to point A or point B.
Point D is closer to point B than it is to point C.
Point E is closer to point A than it is to point C.
Construct the perpendicular bisector of segment AB. Mark any point C on the perpendicular bisector except where it intersects AB. Draw segments AC and BC.
Label a point C on segment AB and construct a line perpendicular to AB through point C. Draw segments AC and BC.
All angles are right angles.
All angles are congruent.
All side lengths are equal.
There are exactly 4 sides.