Triangle Proofs
Triangle Proofs
Directions: Please complete each proof by supplying
the missing statements and/or reasons. Remember 
that the statements must have a valid reason which
may include definitions, theorems, and/or
postulates.
∆
<AZB ≅ <XZY
<
Given: XY ll AB and
Z is the midpoint of AY
Prove: ∆XYZ≅∆BAZ
statement
AZ ≅
≅
∆
≅
ll
< Y
defn of
reason
≅
<s are ≅
<B and <D are right angles
∆
<
Given: <BAC ≅ <ACD<B & <D are right anglesProve: ∆ABC ≅ ∆CDA
statement
≅
<B ≅ <D
∆
≅
≅ <ACD
Reflexive Property
Right < Congruence
reason
Given: WY ≅ XZ and<ZXY ≅<WYXProve: XZ ≅ YW
<
∆ WXY ≅ ∆
statement
≅
XY ≅ XY
<
≅
≅
reason
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