Geometry - Chapter 4 Flashcard

Front

What is the AAS Theorem in triangle congruence?

Back

The AAS (Angle-Angle-Side) Theorem 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 two triangles are congruent.

Front

What does the SSS Theorem state?

Back

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

Front

What is the SAS Theorem in triangle congruence?

Back

The SAS (Side-Angle-Side) Theorem 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 ASA Theorem in triangle congruence?

Back

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

Front

What is the HL Theorem in triangle congruence?

Back

The HL (Hypotenuse-Leg) 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

How do you solve for y in a triangle?

Back

To solve for y in a triangle, use the properties of triangles such as the sum of angles in a triangle equals 180 degrees or apply the appropriate congruence theorem.

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 significance of the triangle inequality theorem?

Back

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

Front

What is the relationship between the angles and sides in similar triangles?

Back

In similar triangles, corresponding angles are equal, and the lengths of corresponding sides are proportional.