Geometry Midterm 2024-2025

Front

If XY = 4x + 3 and YZ = 2x - 1, and XZ = 6x + 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 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

Definition of a line segment.

Back

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

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees.

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 parallel lines?

Back

Lines in a plane that never meet and are always the same distance apart.