Similar Triangle Proportions

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the Triangle Proportionality Theorem?

Back

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

Front

How do you find the perimeter of a triangle?

Back

Add the lengths of all three sides together.

Front

What is a proportion in mathematics?

Back

An equation that states that two ratios are equal.

Front

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

Back

The ratios of the lengths of their corresponding sides are equal.

Front

How can you use proportions to find a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing length.

Front

What is the formula for the perimeter of a triangle with sides a, b, and c?

Back

Perimeter = a + b + c.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, DE = 9, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles are equal, which is a key property of similar triangles.

Front

How do you determine if two triangles are similar?

Back

By checking if their corresponding angles are equal and the lengths of their corresponding sides are proportional.