Unit 7, Lesson 2

Inscribed Angles

Geometry

Practice

Problem 1

Student Task Statement

The measure of angle is 56 degrees. What is the measure of angle ?

<p>Circle center O. A, B and C lie on circle. Angle A O B labeled 56 degrees. Angles A C B and C B O shown.<br>
</p>

Practice

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Problem 2

Student Task Statement

Explain the difference between central and inscribed angles.

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Problem 3

Student Task Statement

What is the measure of the arc from to that does not pass through ?

<p>Triangle A B C inscribed in a circle with A C as the diameter and all points on the circle. Angle B A C is 40 degrees.</p>

160 degrees
140 degrees
100 degrees
90 degrees

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Problem 4

ForLesson 1: Lines, Angles, and Curves

Student Task Statement

Find the measures of and .

<p>Circle with center A. Diameter is drawn. Central angles x and y are formed along the diameter. Arc z is opposite central angle y. Arch opposite central angle x is 50 degrees.</p>

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Problem 5

ForLesson 1: Lines, Angles, and Curves

Student Task Statement

Match the vocabulary term with the label.

<p>A circle. A segment from edge to edge through the center, x. A dotted segment from the center to the edge, w. Angle formed by those two segments, m. A segment edge to edge not through the center, y.</p>

chord that is not a diameter
diameter
radius
central angle

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Problem 6

ForLesson 16: Weighted Averages in a Triangle

Student Task Statement

Triangle has vertices at and . What is the point of intersection of its medians?

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Problem 7

ForLesson 11: Perpendicular Lines in the Plane

Student Task Statement

The rule takes a line to a perpendicular line. Select another rule that takes a line to a perpendicular line.

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Inscribed Angles

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Lesson 2 Resources