Corresponding Parts of Congruent Triangles

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence between two triangles?

Back

The symbol for congruence is '≅'.

Front

If ΔABC ≅ ΔDEF, what can we conclude about the corresponding angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

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

Back

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

Front

If two triangles are congruent, how do their corresponding sides relate to each other?

Back

The lengths of corresponding sides of congruent triangles are equal.

Front

What is the measure of angle A if ∠A + ∠B + ∠C = 180° and ∠B = 62°, ∠C = 54°?

Back

∠A = 64°.

Front

Given ΔPQR ≅ ΔLJK, if PR = 2x + 6 and JL = 10, what is the value of x if PR = JL?

Back

x = 2.

Front

If ∆LMK ≅ ∆LMT, what can we say about the angles ∠K and ∠T?

Back

∠K ≅ ∠T.

Front

If ∠C = 40° in congruent triangles, what is the measure of ∠F if ∠F corresponds to ∠C?

Back

∠F = 40°.

Front

What is the relationship between the sides of two congruent triangles?

Back

The lengths of corresponding sides are equal.