Library

Illustrative Mathematics - Geometry - Unit 7 - Lesson 8

By Formative Library
Last updated 2 months ago
11 Questions
1.

Suppose a circle is divided into congruent slices. Match each number of slices with the resulting central angle measure of each slice.

45o
60o
72o
120o
90o
180o
A.SSE.1.a
G.GMD.1
G.C.5
A.SSE.1.b
6.G.4
2.
3.
4.

Diego says, “To find arc length, divide the measure of the central angle by 360. Then multiply that by the area of the circle.“

Do you agree with Diego? Show or explain your reasoning.

A.SSE.1.a
G.GMD.1
G.C.5
A.SSE.1.b
6.G.4
5.
6.
7.

Triangle ABC is shown with its inscribed circle drawn. The measure of angle ECF is 72 degrees.
What is the measure of angle EGF? Explain or show your reasoning.

A.SSE.1.a
G.GMD.1
G.C.5
A.SSE.1.b
6.G.4
8.

How do the values of x and y compare?
Explain your reasoning.

A.SSE.1.a
G.GMD.1
G.C.5
A.SSE.1.b
6.G.4
9.

Points A,B, and C are the corners of a triangular park. The park district is going to add a set of swings inside the park. The goal is to have the swings equidistant from the vertices of the park.
Find a location that meets this goal. Explain or show your reasoning.

A.SSE.1.a
G.GMD.1
G.C.5
A.SSE.1.b
6.G.4
10.

In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.
What is the measure of angle ACB?

A.SSE.1.a
G.GMD.1
G.C.5
A.SSE.1.b
6.G.4
11.

This solid has curved sides. All cross sections parallel to the base are squares measuring 3 units on each side.
The height from the base to the top is 8 units. What is the volume of this solid?

A.SSE.1.a
G.GMD.1
G.C.5
A.SSE.1.b
6.G.4
This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/8/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.