4.1-4.5 Flashcardizz

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

Front

What is the SSS congruence theorem?

Back

SSS stands for Side-Side-Side, which states 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, which states 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 is the ASA congruence theorem?

Back

ASA stands for Angle-Side-Angle, which states 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, which states 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 are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

Can triangles be congruent if only one angle is known?

Back

No, knowing only one angle is not sufficient to prove triangle congruence; more information is needed.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which allows for the application of various geometric principles and theorems.

Front

How can you determine if two triangles are congruent using the SSS theorem?

Back

Measure all three sides of both triangles; if all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

What is the relationship between angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.