Geometry Fall 2024 Semester Review

Front

What is the definition of a midpoint in geometry?

Back

The midpoint of a line segment is the point that divides the segment into two equal parts. It is calculated as the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Front

How do you find the midpoint between two points (x1, y1) and (x2, y2)?

Back

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

Front

If m∠1 = 4x - 6 and m∠2 = 7x + 32, how do you find m∠4 if m∠1 + m∠2 + m∠4 = 180°?

Back

First, set up the equation: (4x - 6) + (7x + 32) + m∠4 = 180. Solve for x, then substitute back to find m∠4.

Front

What is the slope of a line perpendicular to the line y = 2x - 7?

Back

The slope of the given line is 2. The slope of a line perpendicular to it is the negative reciprocal, which is -1/2.

Front

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

Back

The distance D is given by the formula: D = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition of a perpendicular line?

Back

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

Front

How do you determine if two lines are parallel?

Back

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

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 of a triangle is given by the formula: A = (1/2) * base * height.

Front

What is the definition of complementary angles?

Back

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