Geometry Honors TNReady Flashcard 3

Front

What does the HL theorem state about triangles?

Back

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

Front

What is the formula to find the length of the diagonal in a rectangle?

Back

The length of the diagonal (d) can be found using the Pythagorean theorem: d = √(length² + width²).

Front

What is the SSS congruence postulate?

Back

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

Front

What is the SAS congruence postulate?

Back

The Side-Angle-Side (SAS) postulate 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 is the AAS congruence postulate?

Back

The Angle-Angle-Side (AAS) postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side 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 their corresponding sides and angles are equal.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs of factors to take out of the radical.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

What is the difference between SAS and ASA?

Back

SAS (Side-Angle-Side) involves two sides and the included angle, while ASA (Angle-Side-Angle) involves two angles and the included side.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.