HW 5.1

Front

What is the formula to find 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 formula: \( L = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \)

Front

What does 'm' represent in angle measurement?

Back

'm' stands for 'measure' and is used to denote the size of an angle in degrees.

Front

How do you find the midpoint of a line segment?

Back

The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is calculated as: \( M = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right) \)

Front

What is the relationship between complementary angles?

Back

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

Front

What is the relationship between supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

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

How do you calculate the area of a triangle?

Back

The area A of a triangle can be calculated using the formula: \( A = \frac{1}{2} \times base \times height \)

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).