4
QuizMultiple Choice

Compound Statements — Quiz

Question 4 • MASTER COURSE Geometry

Which biconditional statement is true?

Answer
A
A shape is a triangle if and only if the shape has three sides and three acute angles.
B
A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
C
A shape is a square if and only if the shape has exactly four congruent sides.
D
A shape is a trapezoid if and only if the shape has a pair of parallel sides.

Explanation

A rectangle has exactly four sides and four right angles, and a shape with exactly four sides and four right angles is a rectangle. So both directions of the biconditional are true. A triangle need not have three acute angles, and four congruent sides alone describe a rhombus, which need not be a square.

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