4.2 Review Worksheet (continued)
6. Given: B is the midpoint of DC . AB ⊥ DC Prove: △ ABD ≅ △ ABC Proof: Statements
A
Reasons
1. a.
1. B is the mdpt. of DC
?
2. b. 3. c.
2. Def. of mdpt.
? ?
D
C
B
3. Given
4. ∠ ABD and ∠ ABC are rt. ∠ s
4. d. 5. e.
? ?
5. ∠ ABD ≅ ∠ ABC
6. f.
6. Reflex. Prop. of ≅
?
7. g.
7. △ ABD ≅ △ ABC
?
4.2.2 Triangle Congruence: ASA, AAS, and HL Determine if you can use ASA to prove the triangles congruent. Explain. 7. △ MKJ and △ MKL
8. △ RST and △ TUR R
J K
S
M
U
T
L
9. Given: AB ≅ DE , ∠ C ≅ ∠ F Prove: △ ABC ≅ △ DEF Proof: ∠ A and ∠ D are rt ∠ s.
F
A
B
Rt ∠ s ≌ Thm. a. __?__ c. __?__ b. __?__ AB ≌ DE
△ ABC ≌ △ DEF d. __?__ C ∠ A and ∠ D are rt � . Given
E
D
Given
a. __?__
�
ABC ≌ � DEF ? d. ____
Rt ∠ = Thm. ? b. ____ c. ____ ? AB ≌ DE
Given
Given
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