HW #44 Congruence Patterns with shared sides

Front

What information is required to prove triangles are congruent?

Back

You need to know at least one of the following: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Hypotenuse-Leg (HL) for right triangles.

Front

What does Side-Angle-Side (SAS) mean in triangle congruence?

Back

SAS states that 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 Angle-Side-Angle (ASA) mean in triangle congruence?

Back

ASA states that 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 Side-Side-Side (SSS) mean in triangle congruence?

Back

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

Front

What does Hypotenuse-Leg (HL) mean in triangle congruence?

Back

HL states that in right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

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

What is the importance of shared sides in triangle congruence?

Back

Shared sides can help establish congruence by providing known lengths that can be used in congruence postulates.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

Check if two sides of one triangle are equal to two sides of another triangle and the angle between those sides is equal.

Front

What is the difference between SSA and other congruence postulates?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because the angle may not be between the two sides.

Front

What is the significance of the Angle-Angle-Angle (AAA) condition?

Back

AAA indicates that triangles are similar (same shape) but not necessarily congruent (same size).