Extended Geometry Ch 10 Test Form A *Round decimal answers to the nearest tenth.* **SHOW ALL WORK** 1) AB is tangent to C . The radius is 6 units, Find the value of x.
25 C A x B
Name _____________________________ Tchr/Mods _________________________
2) How many common tangents do the circles have? Draw the tangent(s) in the diagram.
1) _______________ 2) _______________
For # 3 6, use P . 3) Find mBC .
E
A B P 55 D C
6) What statement is not true? a) m AC = mCD b) m AB = mED c) m AE = mBC + mCD d) mCD = m AE e) m AD = mEB
3) _________________ 4) _________________ 5) _________________ 6) _________________
4) Find mCD . 5) Find mCAE .
7) Find x. Also, find mABC & m AC .
B (2x + 13) D
8) Find x.
7) x = ______________
mABC = ________
96 (2x + 1)
(3x) A
m AC = __________
C
8) _________________
9) Find x.
(3x + 8)
10) In A , find the value of x and y.
B y (5x + 2) E A
9) _________________ 10) x = ____________ y = ____________
84 x D 84 C
11) Find m1 .
12) Find m1 .
11) _________________ 12) _________________
115 92 43 1 1
97
For # 13 19, find x.
13)
12 x
14)
180
13) ________________ 14) ________________
x 38
134
15)
105
16)
96 115 ________________ x
15) 16) ________________
x
17)
8 5x - 3 x 2
18)
10 8
x 7
17) ________________
18) ________________
Ch 10 Test, Form A
19)
13 5x 9
20) Find x and y.
x 8 12
19) __________________ 20) x = ______________ y = ______________
9
y 6
21) You are standing 16 feet from a circular swimming pool. The distance from you to a point of tangency is 25 feet. What is the approximate diameter of the pool?
25 ft 16 ft
21) d = _______________
22) An arch over a doorway is 160 cm wide and 50 cm high. What is the radius of the circle that contains the arch?
160 cm 50 cm O
22) r = _______________
23) Give the center and radius of the circle: (x + 5)2 + y2 = 25 24) Write the equation...