Parallel and Perpendicular Lines — Unit test Answers

Read the statement.Doubling the dimensions of a rectangle increases the area by a factor of 4.If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4, which are true? Select two options.

Let p: A student plays basketball.Let q: A student plays tennis.

When using a counterexample to prove a conditional statement false, which must be true about the counterexample?

How can the statement be rewritten as a conditional statement in if-then form?Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes.

Let p: The number is even.Let q: The number is prime.Which statement is represented by p ∧ q?

What is the inverse of the conditional statement?If a polygon has five angles, then it is a pentagon.

Which is a counterexample for the conditional statement shown?If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.

The truth table represents statements p, q, and r. pqrq ∧ r ATT T T BTTF F C T FT F DT F FF EF T T T FF T F F GF F T F HF F F F

If an original conditional statement is represented using p → q, which represents the converse?

Let p: The shape is a rhombus.Let q: The diagonals are perpendicular.Let r: The sides are congruent.Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent”?

If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?Two lines in a plane intersect at a point.

Given:p: Angles XYZ and RST are vertical angles.q: Angles XYZ and RST are congruent.Which statement is logically equivalent to p → q?

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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?

Which is a counterexample for the conditional statement?If a square has side length s, then the perimeter is less than the area.

Given a conditional statement p → q, which statement is logically equivalent?

Branden and Janna are analyzing the same conditional statement. Branden finds multiple examples that validate the conditional statement. Janna finds one example that satisfies the hypothesis of the conditional statement, but not the conclusion. Which must be true?

The diagram represents two statements: p and q.

What is the contrapositive of the conditional statement?If two variables are directly proportional, then their graph is a linear function.

How can the statement be rewritten as a conditional statement in if-then form?A rectangle with 4 congruent sides is a square.