Rectangles By: Jaren Tyler & Alesha IN dedication to Alex Dunckel.

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Presentation transcript:

Rectangles By: Jaren Tyler & Alesha IN dedication to Alex Dunckel.

Definition A rectangle is a four-sided shape where every angle is a right angle (90°), and opposite sides are parallel and of equal length.

General A Rectangles 4 angles are all equal making them 90 ° each. Any rectangle is a parallelogram. Which means it follows the sufficient conditions such as opposite sides and angles are congruent. Rectangles have two diagonals and those two diagonals are equal. Squares are rectangles but there are also rectangles that are not squares.

Height and Width Rectangles are characterized by their height h and their width w. If the width and the height become the same length it is no longer a rectangle it becomes a square.

Equations for Rectangles The perimeter is h+w+h+w or 2h+2w. The area is calculated by h x w or hw The diagonal or distance from one corner to the opposite corner is (w 2 +h 2 ) 1/2 or make a right triangle and use the Pythagorean theorem.

Diagonals Rectangles have two diagonals and those two diagonals are equal. The diagonals intersect at each others midpoint but not right angles unless it is a square. However the vertical angles are congruent.

Rectangles are symmetric figures A rectangle has two lines of symmetry as seen below.

The End! That has been a presentation on rectangles. Dedicated to Alex Dunckel. ;)