Question

A _____ has all four sides equal, opposite sides are parallel with equal opposite angles.
This question has multiple correct options
A. Rectangle
B. Rhombus
C. Square
D. Kite.

Answer 1

Hint: To answer this fill in the blank, we should be aware of the various quadrilaterals and their properties precisely. Here it is given that all sides are equal and opposite sides are parallel with equal opposite angles, so according to this data we should match the properties of standard quadrilaterals.

Complete step-by-step solution:
In the rectangle, we know that all sides are not equal and only opposite sides are equal. So the rectangle can’t be correct.
When we consider a rhombus, in this all sides will be equal in length and also opposite sides are parallel with equal opposite angles. So the conditions hold good for rhombus.
Even in a square we will have all sides be equal in length and also opposite sides are parallel with equal opposite angles as all angles will be equal to 90 degrees. So the conditions hold good for squares also.
In kite, we will not be having all sides equal as kite is a quadrilateral that’s having 2 pairs of equal length sides and those are adjacent to each other. So it doesn’t hold good for given properties.
The figures are shown below,

Therefore, B and C are correct.

Note: The Student should be aware of the concepts and properties of quadrilateral to answer these fill in the blank. Any confusion in the properties may lead to wrong answers. We can draw a rough figure for all of them and then eliminate the ones that do not match the description in the question.