Right Triangle Congruence Flashcard

Front

What does the SAS postulate state?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the Hypotenuse-Leg Theorem?

Back

The Hypotenuse-Leg (HL) Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What does the HL postulate state?

Back

The HL (Hypotenuse-Leg) postulate states that in right triangles, if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle, then the triangles are congruent.

Front

What is the SSS postulate?

Back

The SSS (Side-Side-Side) postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.

Front

What does the AAS postulate state?

Back

The AAS (Angle-Angle-Side) postulate states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the SSA condition?

Back

The SSA (Side-Side-Angle) condition does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the definition of congruent triangles?

Back

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

Front

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

Back

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