Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 3 - Formative Library | Library

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.

Line CD is perpendicular to segment AB

Point M is the midpoint of segment AB

The length AB is the equal to the length CD

Segment AM is perpendicular to segment BM

CB + BD > CD

G.CO.1

G.CO.12

G.CO.9

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. Is point E closer to point A, closer to point B, or the same distance between the points?
AB \perp CD

E is closer to point A

E is closer to point B

same distance between the points

G.CO.1

G.CO.12

G.CO.9

Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the triangle ABC in this diagram.

G.CO.1

G.CO.12

G.CO.9

This diagram was created by starting with points C and D and using only straightedge and compass to construct the rest. All steps of the construction are visible. Select all the steps needed to produce this diagram.

Construct a circle centered at A

Construct a circle centered at B

Construct a circle centered at C

Label the intersection points of the circles A and B

Draw the line through points C and D

Draw the line through points A and B

G.CO.1

G.CO.12

G.CO.9

This diagram was constructed with straightedge and compass tools. A is the center of one circle, and C is the center of the other. Select all true statements.

G.CO.1

G.CO.12

G.CO.9

This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 3. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/3/index.html ; accessed 29/July/2021.

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