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 does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

If a point is equidistant from two figures, what can be said about its distance to each figure?

Back

The point is the same distance from both figures.

Front

What is the relationship between perpendicular lines?

Back

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

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 a² + b² = c².

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians of the triangle intersect.

Front

What is the formula for finding the measure of an angle bisector in a triangle?

Back

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

Front

What is the difference between a median and an altitude in a triangle?

Back

A median connects a vertex to the midpoint of the opposite side; an altitude connects a vertex to the opposite side at a right angle.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.