Question

Examine the statement:

Perpendicular lines intersect to form right angles.

What is true about the statement? Check all that apply.

The hypothesis is “if perpendicular lines.”
The hypothesis is “if lines are perpendicular.”
The conclusion is “then right angles.”
This is a compound statement.
This is a conditional statement.

Answer 1

Correct answers: The hypothesis is “if lines are perpendicular.”; This is a compound statement.; This is a conditional statement.

Explanation:
- The sentence can be written as a conditional: "If lines are perpendicular, then they intersect to form right angles."
- The hypothesis (the "if" part) is "lines are perpendicular" (option 2).
- The conclusion (the "then" part) is "they intersect to form right angles" (so option 3 as written, "then right angles," is not the full conclusion).
- A conditional is a compound statement (it combines two simpler statements with an implication), so options 4 and 5 are true.
- Option 1 ("if perpendicular lines") is just a misstated/incomplete wording of the hypothesis, so it is not correct.