Geometry Semester Review Dec 2024

Front

What is the distance formula in geometry?

Back

The distance formula is used to determine the distance between two points in a coordinate plane. It is given by: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the midpoint of a line segment?

Back

The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Front

Define perpendicular lines.

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, having the same slope.

Front

What is a line segment?

Back

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

Front

How do you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1 (opposite reciprocals).

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by 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): a² + b² = c².