4.2 Fix

Front

What does the acronym AAS stand for in triangle congruence?

Back

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

Front

What does the acronym SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate used to prove that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does the acronym HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove that two right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the corresponding parts of another triangle.

Front

What is the significance of triangle congruence in geometry?

Back

Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is essential for solving various geometric problems.

Front

Can two triangles be congruent if only one side is known?

Back

No, two triangles cannot be proven congruent with only one side known; additional information about angles or other sides is required.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in shape and size, while similarity means that two triangles have the same shape but may differ in size.

Front

What is the criteria for proving triangle congruence using the SSS postulate?

Back

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

Front

What is the criteria for proving triangle congruence using the ASA postulate?

Back

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

Front

What is the purpose of using postulates in geometry?

Back

Postulates serve as foundational truths that do not require proof and are used to derive further geometric principles and theorems.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.