Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

How can you find the length of a segment using the Perpendicular Bisector Theorem?

Back

To find the length of a segment using the Perpendicular Bisector Theorem, you can use the property that any point on the bisector is equidistant from the segment's endpoints.

Front

What does it mean for a line to be a perpendicular bisector?

Back

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

Front

If point H is on the perpendicular bisector of segment FG, what can be said about the distances HF and HG?

Back

If point H is on the perpendicular bisector of segment FG, then HF = HG.

Front

How do you apply the Perpendicular Bisector Theorem to find unknown lengths in a triangle?

Back

To apply the Perpendicular Bisector Theorem in a triangle, identify the perpendicular bisector of a side and use the properties of the triangle to find unknown lengths.

Front

What is the relationship between the lengths of segments created by a perpendicular bisector?

Back

The lengths of the segments created by a perpendicular bisector are equal to each other.

Front

In a triangle, if a point lies on the perpendicular bisector of one side, what can be concluded about its distances to the other two vertices?

Back

The point is equidistant from the two vertices of the triangle that are endpoints of the side.

Front

How can the Perpendicular Bisector Theorem be used to solve for variables in geometric problems?

Back

The Perpendicular Bisector Theorem can be used to set up equations based on the equality of distances from a point on the bisector to the endpoints of the segment.

Front

What is the significance of the point where the perpendicular bisectors of a triangle intersect?

Back

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

Front

How do you determine if a point is on the perpendicular bisector of a segment?

Back

To determine if a point is on the perpendicular bisector of a segment, check if it is equidistant from the endpoints of the segment.