ACT Prep: Geometry Test

Front

What is the midpoint formula for 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

If the midpoint of line segment \overline{AB} is M(0, 3) and A(5, 4), what are the coordinates of B?

Back

B(-5, 2) can be found using the midpoint formula.

Front

Back

Front

Do the segment lengths 9, 12, and 15 form a right triangle?

Back

Yes, they satisfy the Pythagorean theorem: 9² + 12² = 15².

Front

Back

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

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

Back

Front

What is the definition of a right triangle?

Back

A triangle with one angle measuring 90 degrees.

Front

What is the definition of a linear function?

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.