Digital SAT Math Section

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)

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): \( c^2 = a^2 + b^2 \)

Front

What are the properties of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the legs are of equal length, and the length of the hypotenuse is \( \sqrt{2} \) times the length of each leg.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula: \( \text{Area} = \pi r^2 \), where r is the radius.

Front

What are the properties of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The side opposite the 30° angle is the shortest.

Front

What is the Slope Formula?

Back

The slope (m) of a line is calculated using the formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the Distance Formula?

Back

The distance (d) between two points (x1, y1) and (x2, y2) is given by the formula: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Front

What is the Slope-Intercept Form of a Line?

Back

The slope-intercept form of a line is given by: \( y = mx + b \), where m is the slope and b is the y-intercept.

Front

What is the Point-Slope Form of a Line?

Back

The point-slope form of a line is given by: \( y - y_1 = m(x - x_1) \), where m is the slope and (x1, y1) is a point on the line.

Front

What is the Midpoint Formula?

Back

The midpoint (M) between two points (x1, y1) and (x2, y2) is given by: \( M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \)