ACT Math Test

Front

What is the relationship between the angles in a trapezoid with parallel sides?

Back

In a trapezoid with parallel sides, the sum of the interior angles is 360 degrees. The angles adjacent to each base are supplementary.

Front

How do you convert a distance on a map to actual miles?

Back

To convert a distance on a map to actual miles, use the scale of the map. For example, if 1/2 inch represents 18 miles, then multiply the number of inches by the scale factor to find the actual distance.

Front

What is the product of two complex numbers in the form (a + bi)(c + di)?

Back

The product is calculated as (ac - bd) + (ad + bc)i.

Front

How do you find a point that divides a line segment in a given ratio?

Back

To find a point D that divides a line segment EF in the ratio m:n, use the formula: D = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)).

Front

What is the formula for calculating the central angle of a sector in a circle?

Back

The central angle (in degrees) can be calculated using the formula: (part/whole) * 360.

Front

What is the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles of a polygon with n sides is (n-2) * 180 degrees.

Front

How do you determine the slope of a line given two points?

Back

The slope (m) of a line through points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the distance formula in a coordinate plane?

Back

The distance d between two points (x1, y1) and (x2, y2) is given by d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

How do you find the area of a trapezoid?

Back

The area A of a trapezoid can be calculated using the formula: A = 1/2 * (b1 + b2) * h, where b1 and b2 are the lengths of the parallel sides and h is the height.