Download Geometry Lesson 12

Geometry
Lesson 12-3 WS
Name_______________________________
Find the value of each variable. For each circle, the dot represents the center.
1.
2.
3.
a  _______
a  _______
a  _______
b  _______
b  _______
c  _______
4.
5.
6.
a  _______ c  _______
a  _______
a  _______
b  _______ d  _______
b  _______
b  _______
c  _______
Find the value of each variable. Lines that appear to be tangent are tangent.
7.
8.
9.
a  _______
a  _______
a  _______
b  _______
b  _______
Find each indicated measure for
M.
10. mB  _______
11. mC  _______
12. mBC  _______
13. mAC  _______
Choose one of the following. Find the value of each variable. For each circle, the dot
represents the center.
14.
15.
16.
d  _______
e  _______
17. A classmate says that mE = 90 in the drawing below. Explain why this is incorrect.
18. A student inscribes quadrilateral ABCD inside a circle. The measures of angles A, B, and C
are given below. Find the measure of each angle of quadrilateral ABCD.
mA = 8x  4
mB = 5x + 4
mC = 7x + 4
19. A student inscribes an angle inside a semicircle to form a triangle. The measures of the
angles that are not the vertex of the inscribed angle are x and 2x  9. Find the measures of all
three angles of the triangle. Explain how you got your answer.