3.1.4 Properties of Perpendicular Lines - Worksheet
Example 1: 1. Name the shortest segment from point E to AD .
2. Write and solve an inequality for x .
E
x + 12
7
A
B
C D
Example 2: 3. Complete the two-column proof. Given: ∠ ≅∠ ⊥ ABC CBE DE AF , Prove: CB DE ||
C
D
B
E
F
A
Proof:
Statements
Reasons
1. Given
1. ∠ ABC ≅ ∠ CBE
⊥ CB AF
2. a.
?
2.
3. b.
3. Given
?
4. CB DE
4. c.
?
4. The center line in a tennis court is perpendicular to both service lines. Explain why the service lines must be parallel to each other.
Service line
Service line
Center line
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