6.2 Review Worksheet (continued)
8. Given: RHMB is a rhombus with diagonal HB. Prove: ∠ HMX ≅ ∠ HRX
M
H
X
B
R
6.2.2 Conditions for Special Parallelograms 9. A framer uses a clamp to hold together the pieces of a picture frame. The pieces are cut so that PQ ≅ RS and QR ≅ SP . The clamp is adjusted so that PZ , QZ , RZ , and SZ are all equal. Why must the frame be a rectangle?
Q
R
Z
P
S
Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid. 10. Given: EG and FH bisect each other. EG ⊥ FH Conclusion: EFGH is a rhombus.
E
H
F
G
11. Given: FH bisects ∠ EFG and ∠ EHG . Conclusion: EFGH is a rhombus.
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