In which of the following figures are the diagonals not always equal?
A
Rhombus and trapezoid
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B
Rectangle and rhombus
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C
Rectangle, square, rhombus, and trapezoid
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D
Rectangle, square, and trapezoid
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Solution
The correct option is A Rhombus and trapezoid
The diagonals of a square are equal, and they bisect each other at right angles.
The diagonals of a rectangle are equal, and they bisect each other.
The diagonals of a rhombus are equal only if it is a square.
The diagonals of a trapezoid are equal only if it is an isosceles trapezoid.
So, the diagonals of a rhombus and a trapezoid are not always equal.