Geo Ch 5 Test

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

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form ΔABC ≅ ΔDEF.

Front

How do you complete the congruence statement: ΔDEC ≅ _______?

Back

ΔDEC ≅ ΔBEA, indicating that triangle DEC is congruent to triangle BEA.

Front

What is the significance of congruent angles in triangles?

Back

Congruent angles in triangles indicate that the triangles may be similar or congruent, depending on the context and other given information.

Front

What is the significance of congruent sides in triangles?

Back

Congruent sides in triangles are crucial for establishing triangle congruence through various theorems such as SSS, SAS, and AAS.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but may differ in size, while congruent triangles are identical in both shape and size.