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

What is an angle bisector?

Back

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

Front

If two lines are perpendicular, what is the relationship between their slopes?

Back

The product of the slopes of two perpendicular lines is -1.

Front

How do you find the length of a segment given its endpoints (x1, y1) and (x2, y2)?

Back

Front

What is the measure of an angle if it is bisected?

Back

The measure of each angle formed by the bisector is half of the original angle.

Front

If a triangle has angles measuring 30°, 60°, and 90°, what is the relationship between the angles?

Back

The angles are complementary, and the sum of the angles in a triangle is always 180°.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem).

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula for finding the midpoint of a segment?

Back

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from all three vertices.