32
QuizMultiple Choice

Special Parallelograms — Quiz

Question 32 • MASTER COURSE Geometry

Which statements are true of all squares? Choose three correct answers.

Answer
A
The diagonals are perpendicular.
B
The diagonals are congruent to the sides of the square.
C
The diagonals bisect the vertex angles.
D
The diagonals are twice the length of one side of the square.
E
The diagonals are congruent to each other.

Explanation

In a square, the diagonals cross at right angles, so they are perpendicular. Each diagonal also bisects the angles at the vertices it connects, and the two diagonals have equal length. A diagonal is √2 times a side—not equal to a side or twice its length—so A and B are false.

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