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 />
5.5 Page 284 Exercise #13 Proof of the Parallelogram Diagonals Conj.<br />
The diagonals of a parallelogram bisect each other.<br />
given<br />
∠EAL<br />
≅ ∠ALN<br />
ΔETA<br />
≅ΔNTL<br />
def parallelogram<br />
EA<br />
≅ LN<br />
LT ≅ TA<br />
EN &<br />
LA bisect eachother.<br />
5.6 Proofs<br />
Proof of the Rhombus Diagonals Angles Conjecture<br />
Conjecture: The diagonals of a rhombus bisect the angles of the rhombus.<br />
Given: Rhombus RHOM with diagonal HM .<br />
Prove: HM bisects ∠RHO<br />
and ∠ RMO .<br />
Rhombus RHOM<br />
Given<br />
RH = HO = OM = MR<br />
Def. of Rhombus<br />
HM<br />
HM bisects<br />
∠ RMO<br />
= HM<br />
Same Segment.<br />
∠RHO<br />
Def. of angle bisector<br />
and<br />
R<br />
H<br />
O<br />
M<br />
ΔMRH<br />
≅Δ MOH<br />
SSS Cong. Conj.<br />
∠RHM<br />
≅∠ OHM<br />
∠RMH<br />
≅∠OMH<br />
CPCTC<br />
S. Stirling Page 6 of 8
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