U5 CPCTC Warmup

Front

What does CPCTC stand for in geometry?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is a principle used to prove that corresponding angles and sides of congruent triangles are equal.

Front

If triangle ABC is similar to triangle DEF, how do you find the corresponding angles?

Back

The corresponding angles can be found by matching the vertices of the triangles. For example, if A corresponds to D, then angle A is equal to angle D.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional. If triangle ABC is similar to triangle DEF, then \( \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF} \).

Front

How do you identify corresponding angles in similar triangles?

Back

Corresponding angles are the angles that are in the same relative position in each triangle. For example, if angle A corresponds to angle D, then they are equal.

Front

What is the significance of the symbol '∼' in geometry?

Back

The symbol '∼' indicates that two figures are similar, meaning they have the same shape but not necessarily the same size.

Front

In triangle XYZ, if angle X corresponds to angle A in triangle ABC, what can be said about their measures?

Back

If triangle XYZ is similar to triangle ABC, then angle X = angle A.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How do you determine if two triangles are congruent?

Back

Two triangles can be proven congruent using criteria such as 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 relationship between the sides of congruent triangles?

Back

In congruent triangles, all corresponding sides are equal in length.

Front

If angle A is congruent to angle M, what notation is used to express this?

Back

The notation used is \( \angle A \cong \angle M \).