ACT Math Geometry

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). Formula: a² + b² = c².

Front

Define a triangle's area.

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the formula for the circumference of a circle?

Back

The circumference (C) of a circle is calculated using the formula: C = 2πr, where r is the radius.

Front

Explain the concept of similar triangles.

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the difference between a radius and a diameter?

Back

The radius is the distance from the center of a circle to any point on its circumference, while the diameter is the distance across the circle through the center, equal to twice the radius.

Front

How do you calculate the volume of a rectangular prism?

Back

The volume (V) of a rectangular prism is calculated using the formula: V = length * width * height.

Front

What is a complementary angle?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

Define a polygon.

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end. Examples include triangles, quadrilaterals, and pentagons.

Front

What is the formula for the area of a circle?

Back

The area (A) of a circle is calculated using the formula: A = πr², where r is the radius.

Front

Explain the concept of congruent figures.

Back

Congruent figures are figures that have the same shape and size. They can be superimposed on each other.