(GEO) 4.1-4.2 Review

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the ASA postulate in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

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

Front

What is a congruence statement?

Back

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

Front

If ΔXYZ ≅ ΔKLM, what can be inferred about the angles?

Back

If ΔXYZ ≅ ΔKLM, then ∠X ≅ ∠K, ∠Y ≅ ∠L, and ∠Z ≅ ∠M.

Front

What is the significance of corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal, which helps in proving triangle congruence.

Front

What is the significance of corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are equal in length, which is essential for establishing triangle congruence.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you prove triangles are congruent using the SSS postulate?

Back

To prove triangles are congruent using the SSS postulate, show that all three sides of one triangle are equal to the three sides of another triangle.