Geometry: Unit 6 Congruent Triangles FLASHCARD

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

Back

Front

What is the significance of the midpoint in triangle congruence?

Back

The midpoint divides a segment into two equal parts, which can be used to establish congruence between triangles.

Front

How can you prove that two triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape (equal corresponding sides and angles), while similar triangles have the same shape but not necessarily the same size (equal corresponding angles and proportional sides).

Front

What is the first step in proving triangle congruence?

Back

Identify the given information, including sides and angles, and determine which congruence theorem (SSS, SAS, ASA, AAS, HL) applies.