Corresponding Parts of Triangles

Front

What are corresponding angles in triangles?

Back

Corresponding angles are pairs of angles that are in the same position in different triangles when the triangles are similar.

Front

What is the Corresponding Parts of Congruent Triangles (CPCTC) theorem?

Back

The CPCTC theorem states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

How do you determine corresponding sides in similar triangles?

Back

To determine corresponding sides in similar triangles, you can use the order of the vertices. For example, in triangles ABC and DEF, if ABC ∼ DEF, then side AB corresponds to side DE.

Front

What is the relationship between corresponding angles and sides in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

If triangle ABC is similar to triangle XYZ, what is the corresponding angle to ∠A?

Back

The corresponding angle to ∠A in triangle XYZ is ∠X.

Front

What does the symbol '∼' represent in triangle similarity?

Back

The symbol '∼' indicates that two triangles are similar, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

How can you prove that two triangles are similar?

Back

Two triangles can be proven similar using criteria such as Angle-Angle (AA), Side-Angle-Side (SAS), or Side-Side-Side (SSS) similarity.

Front

What is the significance of the order of vertices in triangle similarity?

Back

The order of vertices indicates which angles and sides correspond to each other in similar triangles.

Front

If ∠B corresponds to ∠Y, what can you say about their measures?

Back

If ∠B corresponds to ∠Y, then the measure of ∠B is equal to the measure of ∠Y.

Front

In the triangles QRST and XZWY, if QR corresponds to XZ, what can you infer about their lengths?

Back

If QR corresponds to XZ, then the lengths of QR and XZ are proportional to the lengths of the other corresponding sides in the triangles.