you can build one figure and see what you can get. Place 4 equal sticks on a table. The sticks can be 4 new pencils, or 4 new toothpicks, for example -- whatever is convenient to put your hands on in the house. First form a square with the sticks touching end-to-end; the square has 90 degrees (right angles) at the corners. Next move a pair of opposite corners equally toward one another, with the sticks pivoted at the corners and remained touching. You get a diamond shape, or a kite. Since you have disturbed the corners, the angles are no longer 90 degrees. Q.E.D.
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.
Sometimes. For example, a rectangle has one set of four equal angles, and a parallelogram has two sets of two equal angles.
A square. Four 90 degree angles allow a quadrilateral to have equal sides.
square
A square
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.
Sometimes. For example, a rectangle has one set of four equal angles, and a parallelogram has two sets of two equal angles.
A square. Four 90 degree angles allow a quadrilateral to have equal sides.
square
It is a rhombus
square
A square
Yes, the opposite angles in a regular quadrilateral are equal.
There is no specific name for such a quadrilateral.
square
A rhombus is a 4 equal sided quadrilateral with equal opposite acute angles and equal opposite obtuse angles with diagonals that bisect each other at right angles.
If a quadrilateral has four equal angles, then it is also a rectangle. It can also be a square if it has equal sides as well.