Match the statement with the property it illustrates.
1. ∠ B=∠aD
2. If FO=N N, then RS=1 E E
3. If m ∠A=m∠B and m∠A=m∠C, then m∠A=m ∠ C F
4. If MN=DP and OP=OP, then MN=OK C
5. m<1-m<1 B
6. If m ∠3=m<4, then m∠4=m∠ 3. A
A. Meflexive Proprivy of Tquality
B. Bymenetre Pruperty of Hlquality
Q. Transitive Properiy of Elqualiry
ix. Reflexives Property of Congruence
F. Symmetric Property of Congruence.
f. Transitive Property of Congruence
Name the property that the statement illustrates.
7. If m ∠ 1=m ∠2, then m∠ 1-m ∠ 3=m∠2-m ∠ 3.
8. If K L=P Q, then 2, K L=2 . PQ.
9. If m ∠ A=m ∠ C, then m∠ A+m ∠D=m ∠ C+m ∠D.
10. If x y=5, then xy/3=5/3.
11. If m∠ 2=90° and m∠3=m∠2+44°, then m∠ 3=90°+44°.
12. In the diagram at the right, M is the midpoint of EF. Complete the argument to show that E M=1/2 EF.
E M =M F Definition of ?
E M+M F =E F ? ? Postulate
E M+E M =E F ? Property of Equality
2 . E M =E F Distributive property
E M =1/2 E F ? Property of Equality
13. In the diagram, m∠1+m ∠ 2=98°, and m ∠ 1=42°. Complete the argument to show that m∠2=56°.
m ∠1+m ∠ 2 =98° Given
m ∠1 =42° Given
42°+m∠2 =98° -?
m∠2 =56° ?