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Are diagonals of equal length in a parallelogram and rectangle?
the diagonal in a paralleogram is not equal but the diagonals in the rectangle are congruent this is because the opposite sides of a parallelogram and rectangle are same parallel to each other but the adjacent sides of a parallelogram is not perpendicular where as the adjacent sides of rectangle is perpendicular to each other.
What is the name for a parallelogram that has perpendicular sides?
"rectangle"
How many perpendicular lines are there in a parallelogram?
Ah, isn't that a lovely question? In a parallelogram, there are two pairs of opposite sides that are parallel, but none of the sides are perpendicular to each other. Perpendicular lines meet at a right angle, and in a parallelogram, the sides do not meet at right angles, they run parallel in a harmonious way. Just like nature, everything has its place and purpose in a parallelogram.
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
What quadrilaterals have all adjacent sides are perpendicular?
Square & Rectangle are the only two. Rhombus (diamond) & parallelogram have adjacent sides, but no 90 degree angles (not perpendicular).
