Similar Triangles Corresponding Parts

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar triangles, it is the ratio of the lengths of corresponding sides.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure undergoes an enlargement.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure undergoes a reduction.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If ∠E ≅ ∠A, what can we say about the triangles that contain these angles?

Back

The triangles are similar because they have equal corresponding angles.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in proportion to each other.

Front

How do you determine if two triangles are similar using the AA criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the scale factor if triangle A has sides of length 4 and triangle B has sides of length 8?

Back

The scale factor is 2, indicating an enlargement.

Front

What is the scale factor if triangle A has sides of length 6 and triangle B has sides of length 3?

Back

The scale factor is 1/2, indicating a reduction.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 5, what could be the length of the corresponding side in triangle B if the scale factor is 3?

Back

The length of the corresponding side in triangle B would be 15.