Unit 7, Lesson 6

Inscribed Angles

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Integrated Math 2

Practice

Problem 1

The measure of angle $AOB$ is 56 degrees. What is the measure of angle $ACB$?

<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>

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Problem 2

Explain the difference between central and inscribed angles.

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Problem 3

What is the measure of the arc from $A$ to $B$ that does not pass through $C$?

<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 5: Lines, Angles, and Curves

Find the measures of $x, y,$ and $z$.

<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 5: Lines, Angles, and Curves

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

$m$
$w$
$x$
$y$

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Problem 6

ForLesson 13: Weighted Averages in a Triangle

Triangle $ABC$ has vertices at $(\text-4,0), (\text-2,12),$ and $(12,0)$. What is the point of intersection of its medians?

$(4,0)$
$(5,6)$
$(2,4)$
$(4,2)$

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Inscribed Angles

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Lesson 6 Resources