Geometry Final Exam 23-24 Paper 1

Front

Back

Front

How do you find the midpoint of a line segment between two points A(1, 6) and B(-5, -4)?

Back

The midpoint M of a line segment between points A(x1, y1) and B(x2, y2) is given by the formula: M = (\frac{x1+x2}{2}, \frac{y1+y2}{2}). For A(1, 6) and B(-5, -4), M = (\frac{1+(-5)}{2}, \frac{6+(-4)}{2}) = (-2, 1).

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the value of x in the equation 2x + 5 = 43?

Back

To find x, subtract 5 from both sides: 2x = 38. Then divide by 2: x = 19.

Front

What is the value of a in the equation 3a + 9 = 117?

Back

To find a, subtract 9 from both sides: 3a = 108. Then divide by 3: a = 36.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by the formula: A = \frac{1}{2} \times base \times height.

Front

What is the Pythagorean theorem?

Back

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 is the formula for the circumference of a circle?

Back

The circumference C of a circle is given by the formula: C = 2\pi r, where r is the radius of the circle.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.