8.4 Proportionality Theorems

Front

If two figures are similar, the corresponding angles are ______________.

Back

congruent

Front

Find the value of x: 2/3 = x/12.

Back

8

Front

Find the value of x: 5/x = 15/9.

Back

3

Front

What is the value of the missing segment in a proportional relationship: 4/x = 8/16?

Back

8

Front

Find the value of x: 6/x = 12/18.

Back

9

Front

In similar triangles, the ratio of the lengths of corresponding sides is ______________.

Back

proportional.

Front

The sum of the angles in a triangle is ______________.

Back

180 degrees.

Front

If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. This is known as ______________.

Back

the Area Proportionality Theorem.

Front

If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This is known as ______________.

Back

the Triangle Proportionality Theorem.

Front

In a proportion, if a/b = c/d, then ad = ______________.

Back

bc.