Geometry Midterm Review

Front

What is the formula to find the midpoint of a segment given two endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

If the midpoint of a segment is (5, 1) and one endpoint is (2, 5), how do you find the other endpoint?

Back

Use the midpoint formula: (x2, y2) = (2 * midpoint - x1, 2 * midpoint - y1). In this case, (x2, y2) = (8, -3).

Front

What is the definition of an angle?

Back

An angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex).

Front

How do you find the measure of an angle when given two angles that are complementary?

Back

Complementary angles add up to 90 degrees. If one angle is known, subtract it from 90 to find the other.

Front

What is the definition of a segment in geometry?

Back

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

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)