Unit Test — Unit test

Question 1

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.p → q represents the original conditional statement.~p → ~q represents the inverse of the original conditional statement.q → p represents the original conditional statement.~q → ~p represents the converse of the original conditional statement.p → ~q represents the contrapositive of the original conditional statement.

Revolt · Accepted Answer

p → q represents the original conditional statement.; ~p → ~q represents the inverse of the original conditional statement.

Question 2

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

Revolt · Accepted Answer

If a polygon does not have five angles, then it is not a pentagon.

Question 3

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.

Revolt · Accepted Answer

two lines in a plane intersect

Question 4

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

Revolt · Accepted Answer

The counterexample must satisfy the hypothesis of the conditional statement.

Question 5

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.

Revolt · Accepted Answer

If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.

Question 6

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

Revolt · Accepted Answer

4

Question 7

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

Revolt · Accepted Answer

The number is even and prime.

Question 8

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

Revolt · Accepted Answer

E

Question 9

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

Revolt · Accepted Answer

If angles XYZ and RST are not congruent, then they are not vertical angles.

Question 10

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

Revolt · Accepted Answer

q → p

Unit Test — Unit test Answers

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