(G) 5.6 Proof Reasons Practice

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 congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for 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 congruent to two angles and the included side 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 congruent to all three sides 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 congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What does SSA indicate in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

If ∆LMK ≅ ∆LMT, what can be concluded about the angles?

Back

If ∆LMK ≅ ∆LMT, then ∠K ≅ ∠T, ∠M ≅ ∠M, and ∠L ≅ ∠L.

Front

How can you prove two triangles are congruent using SSS?

Back

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

Front

How can you prove two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle.

Front

What is the significance of the included angle in ASA?

Back

In ASA, the included angle is the angle between the two sides being considered; it is crucial for establishing congruence.

Front

Can two triangles be congruent if they have two sides and a non-included angle equal?

Back

No, two triangles cannot be proven congruent with two sides and a non-included angle (SSA) due to the possibility of different triangle configurations.