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Geometry Part 2
Name ______________________
Unit 8 Day 2 – Inscribed Angles Homework
Read through pages 709 – 712 in your textbook. Use this information to complete the following.
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An inscribed angle has a vertex _______ a circle and sides that contain chords of the circle.
The inscribed angle is ________.
An intercepted arc has endpoints on the sides of an inscribed angle and lies in the
_____________ of the inscribed angle.
The intercepted arc is the minor arc ______.
If an angle is inscribed in a circle, then the measure of the angle equals ________ _________ the
measure of its intercepted arc.
̂ and m𝐴𝐵
̂ = 2 m1
m1 = ½ m𝐴𝐵
Read Example 1 on P. 710 and complete the Guided Practice problems.
Find each measure.
̂
1A) m𝐶𝐹
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1B) mC
If two inscribed angles of a circle intercept the same arc or congruent arcs, then the
angles are ______________.
̂ , so B  C.
B and C both intercept 𝐴𝐷
Read Example 2 on P. 711 and complete the Guided Practice problem.
2) If mS = 3x and mV = (x + 16), find mS.
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An inscribed angle of a triangle intercepts a diameter or semicircle if and only if the angle is
a right angle.
̂ is a semicircle, then mG = _____. If mG = _____, then 𝐹𝐽𝐻
̂ is a semicircle
If 𝐹𝐽𝐻
and ̅̅̅̅
𝐹𝐻 is a diameter.
Read Example 4 on P. 712 and complete the Guided Practice problem.
4) If mF = 7x + 2 and mH = 17x – 8, find x.
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If a quadrilateral is inscribed in a circle, then its opposite angles are __________________.
If quadrilateral KLMN is inscribed in ʘA, then L and N are supplementary and
K and M are supplementary.
Read Example 5 on P. 712 and complete the Guided Practice problem.
5) Quadrilateral WXYZ is inscribed in ʘV. Find mX and mY.