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Proof Geometry
WKSHT 10.4
Chapter 10 Section 4 Inscribed Angles
Name ____________________________________hour____
Date:_____/_____/_____ Score : ______/
= _______%
Fill in the chart below.
Define an inscribed angle:
The measure of an inscribed angle is = to . . . .
Inscribed Angle
Draw 2 examples
Draw 2 nonexamples
Use P for Exercises 1–11. In P, RS || TV and RT  SV.
1. Name the intercepted arc for RTS. _________________
2. Name an inscribed angle that intercepts SV. _________________
In P, m SV = 120 and mRPS = 76. Find each measure.
3. mPRS = ________
4. m RSV = ________
5. m RT = ________
6. mRVT= ________
7. mQRS = ________
8. mSTV = ________
9. m TV = ________
10. mSVT = ________
11. mTQV = ________
Fill in the chart about properties of inscribed polygons.
Paraphrase
If an angle of an
inscribed polygon
intercepts a semicircle,
the angle is
a right angle.
If a quadrilateral is
inscribed in a
circle, then its opposite
angles are
supplementary.
Draw an example
Find the measure of each angle or segment for each figure.
12.
13.
mX = ________
14.
m1 = ________
AD = ________
mY = ________
15.
16.
m2 = ________
17.
m1 = ________
AB = ________
m1 = ________
m2 = ________
AC = ________
m2 = ________
In S, m KL = 80, m LM = 100, and m MN = 60. Find the measure of each angle.
18. m1 = ________
19. m2 = ________
20. m3 = ________
21. m4 = ________
22. m5 = ________
23. m6 = ________
Find the measure of each numbered angle.
24. m1 = 5x – 2, m2 = 2x + 8
25. m1 = 5x, m3 = 3x + 10,
m4 = y + 7, m6 = 3y + 11
Quadrilateral RSTU is inscribed in P such that m STU = 220
and mS = 95. Find each measure.
26. mR = ________
27. mT = ________
28. mU = ________
29. mSRU = ________
30. mRUT = ________
31. mRST = ________
32.
33.
34.
35.
36.
90
90