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In this lesson, we will learn how to use the perpendicular bisector and its theorem, the converse of the perpendicular bisector theorem, and the circumcenter theorem.

Q1:

For which values of π₯ and π¦ is π΄ π· a perpendicular bisector of π΅ πΆ ?

Q2:

What makes an intersecting line a perpendicular bisector?

Q3:

In the diagram, π΄ π· is the perpendicular bisector of π΅ πΆ . Find the value of π₯ .

Q4:

When is a line said to be an angle bisector?

Q5:

In the diagram, π΄ π΅ = 6 and π΅ π· = 5 .

Find π΄ πΆ .

Find πΆ π· .

Q6:

Determine whether π΄ πΈ is a perpendicular bisector of π΅ πΆ .

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