IXL - Checkpoint: Line and angle theorems (Geometry practice)

Patrick wants to prove the Perpendicular Bisector Theorem. In the diagram,

C

D

is the perpendicular bisector of

E

F

.

Complete Patrick's proof that

E

and

F

are the same distance from

D

.

By the definition of a perpendicular bisector, and . This means that under a reflection across

C

D

, point

F

maps onto and point

D

maps onto . Since reflection ,

D

E

=

D

F

.

ref_doc_title.

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

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Not feeling ready yet? These can help:

B.9Perpendicular Bisector Theorem

C.6Angle bisectors

C.9Proofs involving angles

D.5Transversals of parallel lines: solve for x

D.7Proofs involving parallel lines I

D.8Proofs involving parallel lines II