Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 9 - Formative Library | Library

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

Construct the perpendicular bisector of segment AB.

Construct the bisector of angle ACB.

Construct triangle ABC.

Construct a line perpendicular to segment AB through point C.

G.MG.3

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 C than it is to point A or point B.

Point E is closer to point A than it is to point C.

Point J is closer to point A than it is to point B or point C.

Point D is closer to point B than it is to point C.

Point K is closer to point C than it is to point A or point B.

Point L is closer to point B than it is to point A.

G.MG.3

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

G.MG.3

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

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.

Construct the perpendicular bisector of segment AB. Mark the intersection of this line and AB and label it C. 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.

Mark a third point C not on segment AB. Draw segments AC and BC.

G.MG.3

Select all true statements about regular polygons.

G.MG.3

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.

G.MG.3

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? 

Yes

No

G.MG.3

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.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.