IXL - Triangles and bisectors (Geometry practice)

What is

∠

61°

∠

ref_doc_title.

Learn with an example

question

What is

key idea

A point is equidistant from other points if it is the same distance from them.

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

is on the perpendicular bisector of

if and only if

≅

solution

Look at the diagram.

Since

∠

is a right angle and

≅

is the perpendicular bisector of

Therefore,

≅

by the Perpendicular Bisector Theorem.

So,

Looking for more? Try these:

Lesson: Perpendicular bisectors

Lesson: Angle bisectors

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Teacher tools

Work it out

Not feeling ready yet? These can help:

B.9Perpendicular Bisector Theorem

C.6Angle bisectors

Lesson: Perpendicular bisectors

Lesson: Angle bisectors

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