Geom Unit 6 review

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 ΔABC ≅ ΔXYZ, what can we say about their corresponding angles?

Back

The corresponding angles are equal: ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning AB ≅ AB.

Front

If ∠A is 48° in triangle ∆ABC and ∆ABC ≅ ∆DEF, what is the measure of ∠D?

Back

∠D is also 48° because corresponding angles in congruent triangles are equal.

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.

Front

What is the significance of the symbol '≅'?

Back

The symbol '≅' indicates that two figures are congruent.

Front

If two triangles have two sides and the included angle equal, what can we conclude?

Back

The triangles are congruent by the Side-Angle-Side (SAS) postulate.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does it mean if two angles are equal?

Back

If two angles are equal, they have the same measure in degrees.

Front

If ∠B ≅ ∠Y, what can we say about triangles ∆ABC and ∆XYZ?

Back

If ∠B ≅ ∠Y, it is one of the conditions that can help prove that triangles ∆ABC and ∆XYZ are congruent.