4.3 The Rectangle, Square and Rhombus The Rectangle

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Presentation transcript:

4.3 The Rectangle, Square and Rhombus The Rectangle Rectangle is a parallelogram that has a right angle. Corollary 4.3.1: All angles of a rectangle are right angles Theorem 4.3.2: The diagonals of a rectangle are congruent. Proof p. 196, Ex. 1 1/14/2019 Section 4.3 Nack

The Square and the Rhombus A rectangle that has two congruent adjacent sides. Corollary 4.3.3: All sides of a square are congruent Rhombus A parallelogram with two congruent adjacent sides. Corollary 4.3.4: All sides of a rhombus are congruent. Theorem 4.3.5: The diagonals of a rhombus are perpendicular. 1/14/2019 Section 4.3 Nack

Pythagorean Theorem In a right triangle with hypotenuse of length c and legs of lengths a and b, if follows that c² = a² + b² Ex. 5 p. 199 1/14/2019 Section 4.3 Nack