Geo - Triangle Proofs

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides that are congruent, which also means that the angles opposite those sides are congruent.

Front

What is the first reason used in triangle proofs?

Back

The first reason is often 'Given', which refers to the information provided in the problem statement.

Front

What does the statement ∠BCA≅∠DCE indicate?

Back

The statement ∠BCA≅∠DCE indicates that angle BCA is congruent to angle DCE, which is often used in triangle proofs to establish congruence.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent if they satisfy any of the congruence criteria: SSS, SAS, ASA, AAS, or HL.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to the three sides of another triangle.

Front

What is the ASA criterion for triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What is the HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence that applies specifically to right triangles, where the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant because they have the same size and shape, which allows for the application of various geometric properties and theorems.