TEST: Geometry Fall 2024 Semester1

Front

What is a rectangle?

Back

A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

What is the formula for the area of a rectangle?

Back

The area A of a rectangle is given by the formula A = length × width.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the change in y to the change in x (m = (y2 - y1) / (x2 - x1)).

Front

How do you find the slope between two points (3, -3) and (1, -7)?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (-7 - (-3)) / (1 - 3) = 2.

Front

What is the sum of exterior angles in any polygon?

Back

The sum of the exterior angles of any polygon is always 360 degrees.

Front

What is the formula for the sum of interior angles in a polygon?

Back

The sum of the interior angles S of a polygon with n sides is given by the formula S = 180(n - 2).

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Front

What is a 27-gon?

Back

A 27-gon is a polygon with 27 sides and 27 angles.

Front

What is the relationship between the number of sides and the sum of interior angles?

Back

The sum of the interior angles increases as the number of sides increases, specifically by 180 degrees for each additional side.