Geometry - Review 4.1-4.5 Flashcard

Front

What is the definition of a congruent triangle?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the HL theorem stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg theorem, which 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 triangles are congruent.

Front

What is the formula to solve for x in the equation 4x - 2 + 75 = 12x + 1?

Back

To solve for x, first combine like terms: 4x + 73 = 12x + 1. Then, isolate x by moving terms: 73 - 1 = 12x - 4x, leading to 72 = 8x, so x = 9.

Front

What is the definition of the SAS congruence theorem?

Back

SAS stands for Side-Angle-Side, which 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

How do you identify the corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the angles and sides that are in the same relative position in each triangle.

Front

What is the difference between SSA and AAS in triangle congruence?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence, while AAS (Angle-Angle-Side) does, as it provides enough information to determine the triangle's shape.

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

How can you prove that two triangles are congruent using the AAS theorem?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

What is the definition of a right triangle?

Back

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