Daily Grade

Front

What is the distance formula?

Back

The distance formula is derived from the Pythagorean theorem and is used to calculate the distance between two points in a coordinate plane: d = √((x2 - x1)² + (y2 - y1)²).

Front

What does the Pythagorean theorem state?

Back

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): a² + b² = c².

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the converse of a statement?

Back

The converse of a statement is formed by reversing the hypothesis and conclusion. For example, the converse of 'If A, then B' is 'If B, then A'.

Front

What does it mean for a line segment to be bisected?

Back

To bisect a line segment means to divide it into two equal parts.

Front

How do you find the midpoint of a line segment?

Back

The midpoint (M) of a line segment with endpoints A(x1, y1) and B(x2, y2) is calculated using the formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the formula for finding the length of a line segment between two points?

Back

The length of a line segment between two points (x1, y1) and (x2, y2) is given by the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

If two angles are congruent, what can be said about their measures?

Back

If two angles are congruent, then their measures are equal.

Front

What is the relationship between the measures of angles and their congruence?

Back

If the measures of two angles are equal, then the angles are congruent.