Homework #36 Triangle Congruence

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

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

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

The HL Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

Why is the order of vertices important in triangle congruence?

Back

The order of vertices is important because it indicates which angles and sides correspond to each other in the congruent triangles.

Front

What additional information is needed for two triangles to be congruent by ASA?

Back

You need to know two angles and the included side of one triangle.

Front

What additional information is needed for two triangles to be congruent by SSS?

Back

You need to know the lengths of all three sides of one triangle.

Front

How can you determine if two triangles are congruent?

Back

You can determine if two triangles are congruent by using congruence postulates (ASA, SSS, SAS, HL) or by showing that corresponding sides and angles are equal.

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 ∆FGH ≅ ∆VHW, what can you conclude about their corresponding parts?

Back

If ∆FGH ≅ ∆VHW, then corresponding sides and angles are equal: FG = VW, GH = HW, FH = VZ, ∠F = ∠V, ∠G = ∠W, ∠H = ∠H.