Geometry Midterm 2024-2025

Front

If XY = 8x + 3 and YZ = 2x - 1, and XZ = 14x -2, find the value of x.

Back

x = 1

Front

Michael is standing at the midpoint of a straight path from his house to the park. If the distance from his house to the midpoint is 7 meters, find the total distance from his house to the park.

Back

Total distance = 14 meters

Front

If AB = 3x + 5 and BC = 2x - 1, find AC if A, B, and C are collinear.

Back

AC = 5x + 4

Front

Definition of a midpoint in geometry.

Back

A point that divides a line segment into two equal parts.

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does it mean for points to be collinear?

Back

Points that lie on the same straight line.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum is 90 degrees.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the definition of a line segment?

Back

A part of a line that has two endpoints.