Similar Triangles

Front

What are corresponding angles?

Back

Angles that are in the same position on two parallel lines cut by a transversal. They are equal in measure.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are proportional.

Front

If two triangles have the same shape but different sizes, what can we say about them?

Back

They are similar triangles.

Front

What is the criterion for triangle similarity based on angles?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA criterion).

Front

What does it mean for triangles to be congruent?

Back

Triangles that are congruent have the same size and shape; all corresponding sides and angles are equal.

Front

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

Back

If the ratios of the lengths of corresponding sides are equal, the triangles are similar (SSS criterion).

Front

What is the formula to find the missing side in similar triangles?

Back

If triangle A and triangle B are similar, then \( \frac{a}{b} = \frac{c}{d} \), where a and b are corresponding sides.

Front

What is the significance of the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of similar triangles.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.