Name _____________________________________ Class _____________ Date ____________
Alternative Assessment
Chapter 7
Form C
TASK 1
State and explain three ways to prove triangles similar. Include art in your explanations.
TASK 2
A student claims that he has proven the following results for
right triangles. Evaluate each claim.
1. The altitude to the hypotenuse forms similar triangles
.
2. The angle bisector of the right angle forms similar
triangles
.
3. The midsegment connecting the legs forms a triangle similar to the
original
with area one-half that of the original.
Name _____________________________________ Class _____________ Date ____________
Alternative Assessment (continued)
Chapter 7
Form C
TASK 3
Docks lie at opposite ends of a lake. Devise and explain a method
for finding the distance across the lake, using indirect
measurement and similar triangles. Assume that you can measure
any distance on land.
TASK 4
A baby measures 21 in. tall. His head has a diameter of 4.5 in. At age 20, the same person stands
6 ft, 1 in. tall. His head has a diameter of 7.65 in. Using this person as a typical case, discuss
whether babies and adults should be considered physically “similar.”