4.4 and 4.5 Extra Credit

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence as it can lead to ambiguous cases.

Front

How do you order sides of a triangle from largest to smallest?

Back

To order the sides of a triangle from largest to smallest, compare the lengths of the sides. The longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.

Front

How do you order sides of a triangle from shortest to longest?

Back

To order the sides of a triangle from shortest to longest, identify the lengths of the sides and arrange them in ascending order.

Front

What is a valid postulate for proving triangle congruence?

Back

Valid postulates for proving triangle congruence include SSS, SAS, and ASA.

Front

What are rigid motions in geometry?

Back

Rigid motions are transformations that preserve distance and angle measures, including translations, rotations, and reflections.

Front

What is the significance of rigid motions in triangle congruence?

Back

Rigid motions are significant in triangle congruence as they demonstrate that two triangles are congruent if one can be transformed into the other using these motions.

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.