Counterexamples Quizzes, Questions & Answers

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This Geometry quiz from Prentice Hall's Chapter 2 assesses understanding of definitions, biconditionals, and logical reasoning. It tests skills such as identifying counterexamples, rewriting statements, and applying laws of...

Questions: 21 | Attempts: 340 | Last updated: Sep 20, 2024

Sample Question 1
One way to show that a statement is NOT a good definition is to find a _____.

Biconditional

Conditional

Converse

Counterexample

Sample Question 2
Rewrite the biconditional as a conditional statement. Then write its converse and determine if the biconditional is an accurate definition.An angle is obtuse if and only if its measure is greater than ninety degrees.

Yes, it is an accurate definition.

No, it is not an accurate definition.

Sample Question 3
Which biconditional is a good definition?

Two angles are adjacent if and only if they share a common side.

A point is the midpoint of a segment if and only if it is between the endpoints of the segment.

Two angles are supplementary if and only if they form a linear pair.

Two lines are parallel if and only if they never intersect.