Question

There are two lines, p and q, that are each perpendicular to the same line z. Select all true statements.

1. Lines p and q are perpendicular.
2. Lines p and z are perpendicular.
3. Lines q and z are perpendicular.
4. Lines p and q are parallel.
5. Lines p and z are parallel.
6. Lines q and z are parallel

Answer 1

2, 3, and 4

Explanation:

Answer 1 - "Lines p and q are perpendicular." FALSE They are parallel, not perpendicular

Answer 2 - "Lines p and z are perpendicular." TRUE Stated in the word problem

Answer 3 - "Lines q and z are perpendicular." TRUE Stated in the word problem

Answer 4 - "Lines p and q are parallel." TRUE They are parallel and both crossing over line z

Answer 5 - "Lines p and z are parallel." FALSE They are perpendicular

Answer 6 - "Lines q and z are parallel." FALSE They are perpendicular

NOTE: line z is red, line p is green, and line q is blue

Good luck!!