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

What does it mean for triangles to be similar?

Back

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

Front

What is the AA similarity criterion?

Back

The AA (Angle-Angle) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What is the SSS similarity criterion?

Back

The SSS (Side-Side-Side) similarity criterion states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 4 cm, what is the corresponding side length in triangle B if the ratio is 2:1?

Back

The corresponding side length in triangle B is 2 cm.

Front

What is a proportional relationship in triangles?

Back

A proportional relationship in triangles means that the ratios of the lengths of corresponding sides are equal.

Front

How do you determine if two triangles are similar using side lengths?

Back

To determine if two triangles are similar using side lengths, check if the ratios of the lengths of corresponding sides are equal.

Front

What is the significance of parallel lines in triangle proportionality?

Back

Parallel lines create proportional segments on the sides of the triangle, allowing for the application of triangle proportionality theorems.