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This guide helps students explore the properties of quadrilaterals through a series of true or false statements regarding their characteristics. It examines conditions like equal diagonals, perpendicularity, and angle measurements to identify specific quadrilateral types such as rectangles, kites, and squares. Each assertion about the quadrilateral ABCD is analyzed, prompting students to think critically about definitions and theorems related to quadrilaterals. Are you ready to challenge your understanding of these geometric figures?
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Quadrilateral Properties For each, attempt to create a counter example or find the shape is MUST be…..
Name the Quadrilateral if the diagonals are : • equal, not perpendicular , bisect each other • Not equal, one is bisected, and perpendicular • equal, one is bisected, and not perpendicular • equal, bisect each other and perpendicular • Rectangle • Kite • Quadrilateral • Square
Decide if True or False for the quadrilateral ABCD • If AB = CD, then ABCD is a rectangle • If angle A = angle B = angle C, then ABCD is a rectangle • If ABCD is a square, then ABCD is a rectangle. • F • F • T
Decide if True or False for the quadrilateral ABCD • If the opposite sides are =, then ABCD is a parallelogram. • If angle A = angle C, then ABCD is a parallelogram. • If ABCD is a rhombus, then ABCD is a square. • If all of the angles are equal, then ABCD is a square. • T • F • F • F
