Test — Test Answers

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

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABD

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.

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A flowchart proof

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

Given that bisects ∠CEA, which statements must be true? Select three options.

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

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

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

Which pairs of statements are logically equivalent? Select two options.

A two-column proof

Let p: x 3What is represented by p ∨ q?

Let p: x = 4Let q: y = −2Which represents "If x = 4, then y = −2”?

Which statements are true for rows A and E? Select two options.

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?

Let p: A number is greater than 25.Let q: A number is less than 35.If p ∧ q is true, then what could the number be? Select two options.

If m∠A = m∠B and m∠A + m∠C = m∠D, thenm∠B + m∠C = m∠D.