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Illustrative Mathematics - Geometry - Unit 7 - Lesson 5

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Noah says, “I constructed 2 perpendicular bisectors of triangle ABC. That means the point where they intersect is the circumcenter!” Andre responds, “No, we still need to check the third perpendicular bisector to make sure it intersects at the same point.”

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

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2.

The dotted line is the perpendicular bisector of side AB. The distance between points E and A is 7 units.

What is the distance between points E and B? Explain or show your reasoning.

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3.

Construct the circumcenter of each triangle.

Then, based on the locations of the circumcenters, classify each triangle as acute, right, or obtuse.

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4.

Select all quadrilaterals that cannot be cyclic

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5.

A quadrilateral ABCD has the given angle measures. Select the set of measurements which could come from a cyclic quadrilateral.

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6.

What is the measure of angle YXZ?

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9.

A quadrilateral has vertices A=(0,0), B=(2,4), C=(0,5) and D=(-2,1). Select the most precise classification for quadrilateral ABCD.

This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 5. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/5/index.html ; accessed 29/July/2021.

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