G.C.2 WORKSHEET #10 – PATTERSON
Name: ________________________________
1. Prove that AB  BC = DB  BE.
1
E
A
B
C
F
D
HINT: Create AD and EC to form DAB and CEB.
2. Determine the value of x.
a)
b)
x = _____________
e)
c)
x = _____________
f)
x = _____________
d)
x = _____________
g)
x = _____________
x = _____________
h)
x = _____________
x = __________ (2 dec.)
3. Prove that AB  AC = AD  AE.
A
B
C
D
E
HINT: Create DC and BE to form ADC and ABE.
G.C.2 WORKSHEET #10 – PATTERSON
2
4. Determine the value of x. (Lines that appear to be tangent are tangent.)
a)
b)
x = ________
d)
x = ________
e)
x = ________
g)
x = ________
5. Prove that AD  AD = AB  AC.
c)
x = ________
f)
x = ________
h)
x = ________
i)
x = ________
x = ________
D
A
C
HINT: Create DB and DC to form ABD and ADC.
B
HINT: mADB = ½ mDB (tangent/secant )
G.C.2 WORKSHEET #10 – PATTERSON
3
6. Determine the value of x. (Lines that appear to be tangent are tangent.)
a)
b)
x = ________
d)
x = ________
e)
x = ________
7. Solve for x and y.
c)
x = ________
f)
x = ________
x = ________