Perpendicular and Angle Bisectors

Front

What is a perpendicular bisector?

Back

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

Front

Define angle bisector.

Back

A ray that divides an angle into two equal angles.

Front

What is the relationship between perpendicular bisectors and triangles?

Back

The perpendicular bisectors of a triangle intersect at a point called the circumcenter, which is equidistant from the vertices.

Front

How do you find the length of a segment using the Pythagorean theorem?

Back

For a right triangle, the length of the hypotenuse can be found using the formula a² + b² = c², where c is the hypotenuse.

Front

What is the significance of parallel segments in geometry?

Back

Parallel segments never intersect and maintain a constant distance apart.

Front

How do you determine if two lines are perpendicular?

Back

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

Front

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

Back

The midpoint M of a segment with endpoints A(x1, y1) and B(x2, y2) is M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the definition of complementary angles?

Back

Two angles that add up to 90 degrees.

Front

What is the definition of supplementary angles?

Back

Two angles that add up to 180 degrees.

Front

How do you find the length of a segment when given the coordinates of its endpoints?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).