Geometry Final

Front

What is the base of a triangle?

Back

The base of a triangle is one of its sides, often the one on which the triangle is considered to be standing. In triangle ABC, if segment AB is the base, then the height is the perpendicular distance from the opposite vertex to this base.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance d between two points (x1, y1) and (x2, y2) is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).

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 equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states 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 ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states 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 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

What is the formula for the area of a triangle?

Back

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

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

How do you find the value of X in an equation?

Back

To find the value of X, isolate X on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.