Area of a parallelogram = b*h. Call the area of parallelogram one x and two y. We now know that x = y = b(x)h(X) = b(x)h(y). Now
b(x)h(x) = b(x)h(y)
b(x)h(x)/b(x) = b(x)h(y)/b(x)
h(x) = h(y),
so the height of the second parallelogram must equal the height of the first.
rhombus
Parallelograms are not special rectangles; rather, they are a broader category of quadrilaterals that includes rectangles as a specific type. While all rectangles are parallelograms (since they have opposite sides that are equal and parallel), not all parallelograms are rectangles. A rectangle has the additional property of having all angles equal to 90 degrees, which is not a requirement for a general parallelogram.
No. No. No. No.
parallelograms, and rectangles (parallelograms)
Yes, it is true that rhombuses are special types of parallelograms. A rhombus is defined as a parallelogram in which all four sides are of equal length. This means that while all rhombuses are parallelograms, not all parallelograms are rhombuses, as parallelograms can have sides of different lengths. Additionally, rhombuses have the property of having diagonals that bisect each other at right angles.
A rhombus is a parallelogram with 4 equal sides. Many parallelograms do not have 4 equal sides. All parallelograms have 2 pairs of equal opposite sides.
yes
No shape is a square but not a parallelogram as all squares are parallelograms: All parallelograms have opposite sides parallel and of equal length, and opposite angles are equal. All squares have opposite sides that are parallel and of equal length, and opposite angles are equal; thus all squares are parallelograms. However, all squares also have all angles equal to 90o and all four sides equal, but some parallelograms have angles not all 90o and/or not all four sides of equal length; thus not all parallelograms are squares.
opposite angles of all parallelograms are always equal.
If two parallelograms are similar then the corresponding angles are EQUAL.
Some parallelograms are squares - the ones which are equiangular (have equal angles) and are equilateral (have equal side lengths). All squares are parallelograms, but only some parallelograms are squares.
They are both 4 sided quadrilaterals having 4 interior angles that add up to 360 degrees but a rectangle has 4 right angles whereas a parallelogam has 2 equal obtuse and 2 equal acute angles