Geometry Chapter 1 Review

Front

What is the formula to find the midpoint between two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right).

Front

Find the midpoint of the points (3, 9) and (-1, -5).

Back

The midpoint is (1, 2).

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P is given by P = 2(length + width).

Front

If the perimeter of a rectangle is 26 cm and the length is 10 cm, what is the width?

Back

The width is 3 cm.

Front

What is the formula for the circumference of a circle?

Back

The circumference C is given by C = 2\pi r, where r is the radius.

Front

If the circumference of a circle is 131.88 cm, what is the radius?

Back

The radius is 21 cm.

Front

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

Back

The distance d is given by d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}.

Front

Find the distance between the points (3, 24) and (7, 56).

Back

The distance is approximately 32.2.

Front

What is the definition of a rectangle?

Back

A rectangle is a quadrilateral with four right angles.

Front

What is the definition of a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.