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Illustrative Mathematics - Geometry - Unit 7 - Lesson 6

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Last updated 2 months ago
10 Questions
1.

How do the values of a and B compare?
Explain your reasoning.

G.CO.9
G.C.3
G.CO.10
G.SRT.5
2.

Triangle ABC is shown together with its angle bisectors.
Draw a point D that is equidistant from sides AC and BC, but which is closest to side AB.

G.CO.9
G.C.3
G.CO.10
G.SRT.5
3.

In triangle ABC, point D is the incenter. Sketch segments to represent the distance from point D to the sides of the triangle.
How must these distances compare?

G.CO.9
G.C.3
G.CO.10
G.SRT.5
4.
5.
6.

The angles of triangle ABC measure 50 degrees, 40 degrees, and 90 degrees.

Will its circumcenter fall inside the triangle, on the triangle, or outside the triangle?

G.CO.9
G.C.3
G.CO.10
G.SRT.5
7.

Tyler and Kiran are discussing the parallelogram in the image. Tyler says the parallelogram cannot be cyclic. Kiran says the parallelogram can be cyclic if a circle is drawn carefully through the vertices.

Do you agree with either of them? Explain or show your reasoning.

G.CO.9
G.C.3
G.CO.10
G.SRT.5
8.

Find the measures of the remaining angles of quadrilateral WXYZ.

G.CO.9
G.C.3
G.CO.10
G.SRT.5
9.

Which expression describes a point that partitions a segment AB in a 1:5 ratio?

G.CO.9
G.C.3
G.CO.10
G.SRT.5
10.

Write 3 expressions that can be used to find angle C.

G.CO.9
G.C.3
G.CO.10
G.SRT.5
This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 6. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/6/index.html ; accessed 29/July/2021.

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