Geometry Flashcard - Section 5.1 Perpendicular and Angle Bisectors

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between angles formed by perpendicular lines?

Back

When two lines are perpendicular, the angles formed are complementary, meaning they add up to 90 degrees.

Front

Define angle bisector.

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

If m∠ABD = 16°, what is m∠ABC if they are related as vertical angles?

Back

m∠ABC = 16° (because vertical angles are equal).

Front

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

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you determine if a point lies on a line given its equation?

Back

Substitute the point's coordinates into the equation. If the equation holds true, the point lies on the line.

Front

What does it mean for two lines to be parallel?

Back

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

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, represented as (0, b) in the equation y = mx + b.