AnswersGeometry - Semester 1 PathwaysCompound Statements

Compound Statements Answers

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Which biconditional statement is true?

A
A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
B
A shape is a trapezoid if and only if the shape has a pair of parallel sides.
C
A shape is a triangle if and only if the shape has three sides and three acute angles.
D
A shape is a square if and only if the shape has exactly four congruent sides.
2
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Let p: The kitchen is clean.Let q: The bedroom is clean.Which statement is true if the kitchen is clean but the bedroom is not clean?

A
If p is true, then q is true.
B
Statement q is true if and only if p is true.
C
Both p and q are true.
D
Statement p or q is true.
3

The truth table represents statements p, q, and r. pqrp ∧ qp ∧ r AT T T T T BT T F T F CT F T F T DT F F F F EF T T F F FF T F F F GF F T F F HF F F F F

A
A and B
B
A, B, and C
C
B and E
D
B, C, and E
4

Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”Which represents p ∧ q?

A
He is wearing a coat or the temperature is below 30°F.
B
He is wearing a coat and the temperature is below 30°F.
C
If he is wearing a coat, then the temperature is below 30°F.
D
If he is not wearing a coat, then the temperature is not below 30°F.

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