Perpendicular and Angle Bisectors

Front

What is a perpendicular line?

Back

A perpendicular line is a line that intersects another line at a right angle (90 degrees).

Front

What is an angle bisector?

Back

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

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of two complementary angles is 90 degrees.

Front

What is the relationship between the angles formed by perpendicular lines?

Back

The angles formed by perpendicular lines are right angles, each measuring 90 degrees.

Front

How do you calculate the length of a segment when given the lengths of other segments in a triangle?

Back

Use the properties of triangles, such as the triangle inequality theorem or the Pythagorean theorem.

Front

What is the measure of an angle if it is bisected and one of the resulting angles measures 30 degrees?

Back

The measure of the original angle is 60 degrees.

Front

What is the significance of the angle bisector in a triangle?

Back

The angle bisector divides the opposite side into segments that are proportional to the adjacent sides.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

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