3.1.3 Proving that Lines are Parallel - Worksheet
Example 1: Use the Converse of the Corresponding Angles Postulate and the given information to show that p || q . 1. ∠ 4 ≅ ∠ 5
p
q
1 2
8 7
4 3
5 6
2. m ∠ 1 = (4 x + 16)º, m ∠ 8 = (5 x − 12)º, x = 28
3. m ∠ 4 = (6 x − 19)º, m ∠ 5 = (3 x + 14)º, x = 11
s
Use the theorems and given information to show that r || s . 4. ∠ 1 ≅ ∠ 5 5. ∠ 3 ≅ ∠ 7
r
7 6
8
1
4 5
2 3
6. m ∠ 4 = (13 x − 4)º, m ∠ 8 = (9 x + 16)º, x = 5
7. m ∠ 2 = (25 x + 7)º, m ∠ 6 = (24 x + 12)º, x = 5
Example 2: Use the theorems and given information to show that r || s . 8. m ∠ 3 + m ∠ 4 = 180º
s
r
7 6
8
1
4 5
2 3
9. m ∠ 8 = (l7 x + 37)º, m ∠ 7 = (9 x − 13) ° , x = 6
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