4.1 Review Worksheet (continued)
26. Given: MP bisects ∠ NMR . P is the midpoint of NR. MN ≅ MR , ∠ N ≅ ∠ R Prove: △ MNP ≅ △ MRP Proof: Statements Reasons 1. ∠ N ≅ ∠ R 1. a. ? 2. MP bisect ∠ NMR . 2. b. ? 3. c. ? 3. Def. of ∠ bisector 4. d. ? 4. Third ∠ s Thm. 5. p is the mdpt. of NR . 5. e. ? 6. f. ? 6. Def. of mdpt. 7. MN ≅ MR 7. g. ? 8. MP ≅ MP 8. h. ? 9. △ MNP ≅ △ MRP 9. Def. of ≅ △s
N
M
P
R
27. Hobbies In a garden, triangular flower beds are separated by straight rows of grass as shown. Given: ∠ ADC and ∠ BCD are right angles. AC ≅ BD , AD ≅ BC ∠ DAC ≅ ∠ CBD Prove: △ ADC ≅ △ BCD
A
B
D
C
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