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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