TRIANGLE PROPORTIONALITY

Front

What is Triangle Proportionality?

Back

Triangle Proportionality states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the formula for finding the missing length in similar triangles?

Back

If triangle ABC is similar to triangle DEF, then AB/DE = AC/DF = BC/EF.

Front

Solve for x: 3/4 = x/16

Back

x = 12.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the ratio of the sides?

Back

The ratio of the sides is 6:8:10 or simplified to 3:4:5.

Front

Complete the proportion: 5/15 = x/45

Back

x = 15.

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their areas?

Back

The ratio of their areas is 1:4.

Front

Find the missing length: If AB = 10 and AC = 15, what is BC if triangles are similar?

Back

BC = 15.