Download 8.2 Practice Worksheet

Name_________________________________________________________
8.2
Practice Worksheet
In Exercises 1-4, determine whether the triangles are similar. If they are, write a
similarity statement. Explain your reasoning.
1.
2.
3.
4.
In Exercises 5-8, show that the two triangles are similar.
5.
ABD and
7. ECG and
ACE
EDF
6.
WXZ and
ZXY
8.
XWY and
ZYW
Date __________
In Exercises 9-12, is it possible for
reasoning.
ABC and
XYZ to be similar? Explain your
9. mA  43, mB  61, mY  61, and mZ  74
10. A and X are right angles and B  Z .
11. A and X are supplementary and B and Z are complementary.
12. mA  75 and mZ  105
13. Your friend claims that if you know three angles of one quadrilateral are congruent to
three angles of another quadrilateral, then the two quadrilaterals are similar. Is your
friend correct? Explain your reasoning.
14. The height of the Empire State Building is 1250 feet tall. Your friend, who is 6 feet
3 inches tall, is standing nearby and casts a shadow that is 33 inches long. What is
the length of the shadow of the Empire State Building?