Briana E.

asked • 02/22/19

L is perpendicular to segment AB, l bisects AB at C, P is on l. Prove: PA=PB

proof, and with vocab reasons please

Paul M.

tutor
What is the relationship between L and I? If they are the same (and you submitted a typo), the answer is easy.
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02/22/19

Briana E.

Yes it’s the same thing sorry. Cursive L is be exact
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02/22/19

1 Expert Answer

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William W. answered • 02/22/19

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The angle will be 90 degrees on both sides (definition of perpendicular), segment AC = segment CB (definition of a bisector), Segment PC is congruent to segment PC. So the triangles are congruent by SAS congruence. Consequently PA = PB because corresponding parts of congruent triangles are congruent

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Briana E.

Thank you !!
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02/22/19

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