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Ah, what a happy little shape we have here! When a parallelogram has perpendicular sides, we call it a rectangle. Just like a cozy cabin in the woods, a rectangle is sturdy and balanced, bringing harmony to our geometric world. Remember, there are no mistakes in geometry, just happy little discoveries.
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What shape has diagonals that are perpendicular?
The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.
Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?
Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.
A quadrilateral that has 4 equal sides?
A square has four equal sides. A parallelogram can also have four equal sides, but not always. (A square is also a type of parallelogram, but not the only one that can have four equal sides.
A trapezoid is also a?
parallelogram?
How is a rectangle a parallelogram?
A parallelogram is defined as a two-dimensional figure with two pairs of parallel sides. Since a rectangle has two pairs of parallel sides, it is also a parallelogram. A rectangle differs from a parallelogram in that it always has four equal angles.
