Ch 5 Worksheet Key
Ch 5 Worksheet Key
Ch 5 Worksheet Key
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<strong>Ch</strong> 5 <strong>Worksheet</strong> L1 <strong>Key</strong><br />
Name ___________________________<br />
Proof of the Kite Angles Conjecture<br />
Conjecture: The nonvertex angles of a kite are congruent.<br />
K<br />
Given: Kite KITE with diagonal KT .<br />
Prove: The nonvertex angles are congruent, ∠E ≅∠ I .<br />
E<br />
I<br />
Kite KITE<br />
KT<br />
=<br />
KT<br />
T<br />
Given<br />
KE KI<br />
ET = IT<br />
Def. of Kite<br />
= and<br />
Same Segment.<br />
ΔKET<br />
≅ ΔKT<br />
I<br />
SSS Cong. Conj.<br />
∠E<br />
≅∠I<br />
CPCTC or<br />
Def. cong.<br />
triangles<br />
5.3 Page 272 Exercise #9 Proof of Kite Angle Bisector Conjecture<br />
The vertex angles of a kite are bisected by a diagonal.<br />
BN<br />
≅<br />
BN<br />
Same Segment.<br />
BE ≅ BY<br />
YN ≅ EN<br />
Given or<br />
Def. of Kite<br />
ΔBYN<br />
≅ Δ BEN<br />
SSS Cong. Conj.<br />
BN bisects<br />
BN bisects<br />
∠1≅∠<br />
2<br />
∠3≅∠<br />
4<br />
∠ YBE<br />
Def. angle bisector<br />
CPCTC or Def.<br />
cong. triangles<br />
∠ YNE<br />
S. Stirling Page 2 of 8
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