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Quadrilateral proofs worksheet with answers

Quadrilateral proofs 2025

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The document contains a series of Regents exam questions focused on proving properties of quadrilaterals, particularly parallelograms, rectangles, and rhombuses. It includes various proofs that demonstrate the congruence of angles and sides, the relationships between diagonals, and the application of geometric principles such as alternate interior angles and corresponding parts of congruent triangles.

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What are the 7 properties of a quadrilateral?

Properties of Quadrilaterals It has four sides: AB, BC, CD, and DA. It has four vertices: Points A, B, C, and D. It has four angles: ABC, BCD, CDA, and DAB. A and B are adjacent angles. A and C are the opposite angles. AB and CD are the opposite sides. AB and BC are the adjacent sides.

What are the 7 parts of a quadrilateral?

Rectangle Properties A rectangle is a quadrilateral. The opposite sides are parallel and equal to each other. Each interior angle is equal to 90 degrees. The sum of all the interior angles is equal to 360 degrees. The diagonals bisect each other. Both the diagonals have the same length.

What are the 7 properties of a rectangle?

The properties of a parallelogram are as follows: The opposite sides are parallel and equal. The opposite angles are equal. The consecutive or adjacent angles are supplementary. If any one of the angles is a right angle, then all the other angles will be at right angle. The two diagonals bisect each other.

What are the 7 types of quadrilaterals?

Parts of a quadrilateral A, B, C, and D are the four angles of the quadrilateral ABCD. AB, BC, CD, and DA are the four sides of the quadrilateral ABCD. A, B, C, and D are the four vertices of the quadrilateral ABCD. AC and BD are the two diagonals of the quadrilateral ABCD.

How to prove quadrilateral triangle?

Draw a quadrilateral with diagonals that bisect each other and preview the proof. Your goal will be to show that there are two pairs of congruent triangles created by these diagonals. Then, you can show that alternate interior angles are congruent and therefore the opposite sides must be parallel.