Corresponding Sides and Angles

Front

What are corresponding sides in similar triangles?

Back

Corresponding sides are the sides of two or more similar triangles that are in the same relative position. For example, if triangle ABC is similar to triangle DEF, then side AB corresponds to side DE.

Front

What are corresponding angles in similar triangles?

Back

Corresponding angles are the angles of two or more similar triangles that are in the same relative position. For example, if triangle ABC is similar to triangle DEF, then angle A corresponds to angle D.

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

What is the relationship between congruent shapes?

Back

Congruent shapes are identical in shape and size. This means that all corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent if they satisfy any of the following criteria: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the definition of corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position in different geometric figures, such as similar triangles.

Front

If triangle ABC is similar to triangle DEF, what can you say about angle A and angle D?

Back

Angle A is equal to angle D because they are corresponding angles in similar triangles.

Front

What is the significance of the AA criterion in triangle similarity?

Back

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

Front

What does it mean for two shapes to be non-congruent?

Back

Non-congruent shapes are shapes that do not have the same size and shape. They may have the same shape but different sizes or different shapes altogether.

Front

What is the formula for finding the ratio of corresponding sides in similar triangles?

Back