Geometry B - 4.4 E Learning Day

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

If \( \Delta ABC \cong \Delta XYZ \), what can we say about their corresponding angles?

Back

\( \angle A \cong \angle X, \angle B \cong \angle Y, \angle C \cong \angle Z \)

Front

What is the significance of CPCTC in triangle congruence?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which means that if two triangles are congruent, their corresponding sides and angles are also congruent.

Front

If \( \Delta ABC \cong \Delta LMN \), which of the following is NOT true? LM \( \cong \) AB, \( \Delta CAB \cong \Delta NLM \), \( \angle C \cong \angle N \), BC \( \cong \) ML?

Back

BC \( \cong \) ML is NOT true.

Front

True or False: If \( \Delta ABC \cong \Delta XYZ \), then AB \( \cong \) XY, BC \( \cong \) YZ, and AC \( \cong \) XY.

Back

False.

Front

What does the term 'corresponding sides' refer to in triangle congruence?

Back

Corresponding sides are the sides of two triangles that are in the same relative position to each other.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be concluded about the triangles?

Back

The triangles are similar, but not necessarily congruent.

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

The ASA postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.