Parallelogram: A parallelogram with two groups of opposite sides parallel to each other is called a parallelogram. Proof condition: 1. A set of parallelograms with parallel and equal opposite sides is parallelogram 2. The two groups of parallelograms with parallel opposite sides are parallelograms 3. A quadrilateral with two diagonal lines bisecting each other is a parallelogram. Rectangle: A quadrilateral with four right angles is called a rectangle. Proof condition: 1. A parallelogram with a right angle is a rectangle. The parallelogram with equal diagonal lines is rectangle 3. There are three angles. A quadrilateral with right angles is a rectangular diamond: a quadrilateral with four equilateral sides is called a diamond. Verification condition: 1. A set of parallelograms with equal adjacent sides is a diamond. 2. The quadrilateral whose diagonals are perpendicular to each other and split in two is a diamond. 3. A quadrilateral with four equilateral sides is a rhombic square; a quadrilateral with four equilateral sides and four right angles is called a square. Verification condition: 1. A diamond with a right angle is a square. 2. A set of rectangles with equal adjacent sides is a square. 3. Quadrilaterals whose diagonals are perpendicular to each other and bisected are square trapeziums: a group of quadrangles with parallel opposite sides and another group of quadrangles with non-parallel opposite sides are called trapezoidal trapeziums. The main purpose of this method is to verify the isosceles trapezoid. A trapezoid with two equal angles on the same base is an isosceles trapezoid. That's about it. Please reply.

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