GEOMETRY FINAL

Front

What is the formula to find the midpoint of a line segment between two points H(x1, y1) and G(x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If \( \overrightarrow{AB} \) bisects \( \angle CAD \), what does it mean for angles CAB and BAD?

Back

It means that \( m\angle CAB = m\angle BAD \).

Front

How do you find the length of a segment CA if you know the lengths of segments AB and CB in terms of a variable s?

Back

You can use the equation CA = AB + CB, substituting the expressions for AB and CB.

Front

What does a slope represent in a graph of a worker's productivity?

Back

The slope represents the rate of change, specifically the number of cabinets painted per hour.

Front

What is a positive association in a graph?

Back

A positive association means that as one variable increases, the other variable also increases.

Front

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

Back

The distance d is given by d = \( \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \).

Front

What is the definition of a bisector in geometry?

Back

A bisector is a line or segment that divides an angle or segment into two equal parts.

Front

How do you calculate the measure of an angle when given expressions for its parts?

Back

Set the expressions equal to each other if they are bisected, and solve for the variable.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

What is the formula for the area of a triangle?

Back

The area A is given by A = \( \frac{1}{2} \times base \times height \).