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Illustrative Mathematics - Geometry - Unit 7 - Lesson 13

By Formative Library
Last updated 6 days ago
18 Questions

Each circle has a shaded sector with a central angle measured in radians.
What fraction of the circle is each sector?

Calculate the radian measure of a 225 degree angle.
Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.

Andre and Diego are each saving money. They each hope to save 500 dollars. They are tracking their progress on the circles in the image.
Diego thinks that Andre has saved more money than Diego has saved. Andre thinks they have saved the same amount. Do you agree with either of them? Explain or show your reasoning.

Clare missed class and Jada is teaching her how to construct the circumscribed circle of a triangle. Here are the instructions Jada wrote.

“Construct all 3 perpendicular bisectors of the triangle’s sides. The point where the perpendicular bisectors intersect is called the circumcenter. Construct a circle centered at the circumcenter with radius set to the distance between the circumcenter and a vertex. If the triangle has a circumscribed circle, the circle you construct will go through all 3 vertices.”

Do you agree with Jada’s instructions? Explain your reasoning.

This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/13/index.html ; accessed 29/July/2021.

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