Question

For each question, use the following statements to write the compound statement anddetermine its truth value.P: Perpendicular lines intersect to form right angles.Q: All eagles are bald eagles.R: The capital of Texas is Houston.S: Congruent segments have equal length. Write the compound statement and determine its truth value: P^~SPerpendicular lines intersect to form right angles and congruent segments do not have equal length; truePerpendicular lines do not intersect to form right angles and congruent segments do not have equal length; falsePerpendicular lines do not intersect to form right angles and congruent segments do not have equal length; truePerpendicular lines intersect to form right angles and congruent segments do not have equal length: false

Answer 1

Answer:

(D)Perpendicular lines intersect to form right angles and congruent segments do not have equal length: false

Explanation:

$\begin{gathered} \text{P: Perpendicular lines intersect to form right angles.} \\ \text{S: Congruent segments have equal length. } \\ \text{The negation of S } \\ \neg S\colon C\text{ongruent segments do not have equal length} \end{gathered}$

Therefore, the compound statement P^~S will be:

P^~S: Perpendicular lines intersect to form right angles and congruent segments do not have equal length.

Now, the negation of S is False, therefore: P^~S is False.