Question

1. underline the hypothesis (p) and circle the conclusion (q) in the following statements. if a polygon is a pentagon, then it has five sides. if two lines form vertical angles, then they intersect. if you run, then you are fast.

Explanation:

In an "if - then" statement, the part following "if" is the hypothesis (p) and the part following "then" is the conclusion (q).

Answer:

1. "If a polygon is a pentagon, then it has five sides."

• Hypothesis (p): a polygon is a pentagon (underline this)
• Conclusion (q): it has five sides (circle this)

1. "If two lines form vertical angles, then they intersect."

• Hypothesis (p): two lines form vertical angles (underline this)
• Conclusion (q): they intersect (circle this)

1. "If you run, then you are fast."

• Hypothesis (p): you run (underline this)
• Conclusion (q): you are fast (circle this)