for Geniusy_2006

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A

B D C

Given:

Prove: ABC is isosceles

STATEMENTS

REASONS

Given

Given

both angles are 90 since

reflexive property of congruence

ASA (angle-side-angle)

CPCTC (corresponding parts of congruent

triangles are congruent)

ABC is isosceles

definition of an isosceles triangle

CDA

BDA

Ð

@

Ð

AD

AD

@

CDA

BDA

D

@

D

AC

AB

@

CAD

BAD

Ð

@

Ð

BC

AD

^

D