This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C. Explain why it was helpful to construct points D and A to be the same distance from C.
G.CO.1
G.CO.12
G.CO.9
1
2.
This diagram is a straightedge and compass construction.
Select all true statements.
G.CO.1
G.CO.12
G.CO.9
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. A rhombus is a quadrilateral with 4 congruent sides. Explain why quadrilateral ACBD is a rhombus.
G.CO.1
G.CO.12
G.CO.9
1
4.
A, B, and C are the centers of the three circles. Which line segment is congruent to HF?
G.CO.1
G.CO.12
G.CO.9
1
5.
In the construction, A is the center of one circle, and B is the center of the other. Explain why segment EA is the same length as segment BC.
G.CO.1
G.CO.12
G.CO.9
1
6.
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 M closer to point A, closer to point B, or the same distance from both points?
AB \perp CD
G.CO.1
G.CO.12
G.CO.9
1
7.
A sheet of paper with points A and B is folded so that A and B match up with each other.
Explain why the crease in the sheet of paper is the perpendicular bisector of segment AB. (Assume the conjecture that the set of points equidistant from A and B is the perpendicular bisector of segment AB is true.)
G.CO.1
G.CO.12
G.CO.9
1
8.
Here is a diagram of a straightedge and compass construction. C is the center of one circle, and B is the center of the other. Explain why the length of segment CB is the same as the length of segment CD.
G.CO.1
G.CO.12
G.CO.9
This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 5. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/5/index.html ; accessed 29/July/2021.
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.