Geometry in Construction Final Exam Review #1

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

How do you calculate the area of a triangle?

Back

Area = (base × height) / 2.

Front

What is the formula for the area of a circle?

Back

Area = π × radius².

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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 a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides parallel and equal in length.

Front

What is the difference between a radius and a diameter?

Back

The radius is half the diameter; diameter = 2 × radius.

Front

How do you solve for x in the equation 8v - v + 8 = 22?

Back

Combine like terms: 7v + 8 = 22; then, 7v = 14; thus, v = 2.

Front

What is the area of a rectangle with length 12 m and width 7 m?

Back

Area = 12 m × 7 m = 84 m².