GEO Fall Final 2024

Front

What is the midpoint of a distance?

Back

The midpoint is the point that divides a line segment into two equal parts. For example, if a distance of 360 miles is divided by 2, the midpoint is 180 miles.

Front

How do you find the slope of a line segment in a coordinate plane?

Back

The slope (m) of a line segment between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the solution to the equation 7x - 3 = -2x + 42?

Back

To solve for x, first add 2x to both sides: 9x - 3 = 42. Then add 3 to both sides: 9x = 45. Finally, divide by 9: x = 5.

Front

If AB = 2x + 1, BC = x, and AC = 22, how do you find x?

Back

Set up the equation: AB + BC = AC. Thus, (2x + 1) + x = 22. Combine like terms: 3x + 1 = 22. Subtract 1 from both sides: 3x = 21. Divide by 3: x = 7.

Front

What does it mean if m∠EFG > m∠DEF?

Back

It means that the measure of angle EFG is greater than the measure of angle DEF, indicating that angle EFG is larger.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you determine if two angles are complementary?

Back

Two angles are complementary if the sum of their measures equals 90 degrees.

Front

What is the formula for the distance between two points in a coordinate plane?

Back

The distance (d) between two points (x1, y1) and (x2, y2) is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x = 0.