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11.4 Areas of Kites and Related Figures
A kite = A △ ABD + A △ DBC B C D Two formulas A DB = 10m AE = 5 m EC = 12 m BC = 13m <BAD is a right angle Find the area of the kite. E
Use correct formula A kite = A △ ABD + A △ DBC = ½ (BD)(AE) + ½(BD)(EC) = ½(10)(5) + ½ (10)(12) = 25 + 60 = 85 m 2
T105: The area of a kite equals half the product of its diagonals. A kite = d 1 d 2 A kite = ½ (10)(17) = 85m 2
Find the area of a kite with diagonals 9 and 14 Draw, label, write all steps.
Find the area of a rhombus whose perimeter is 20 and whose longer diagonal is 8.
What do you know about the inside triangles? 5 5 4 3 Remember: a rhombus is a parallelogram so the diagonals bisect each other. It is also a kite, so its diagonals are perpendicular to each other.
The area of a kite is 20. The longer diagonal is 8. Can you find the shorter diagonal?
MODULE VI LET’S GO MEASURE A KITE!
Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals
Quadrilaterals - Square
Circle – Formulas Radius of the circle is generally denoted by letter R. Diameter of the circle D = 2 × R Circumference of the circle C = 2 × × R (
5.5 Properties of Quadrilaterals Objective: After studying this section, you will be able to identify some properties of: a. parallelograms, b. rectangles,
Areas of Rectangles and Parallelograms Areas of Triangles, Trapezoids and Kites.
Work as a team to solve the following problem: In rectangle ABCD, X and Y are mid- points of AB and CD and PD QC. Compare the area of quadrilateral.
1 MADE BY NORBERT GAUCI Class AREA OF A PARALLELOGRAM Its opposite sides are parallel. Opposite sides and opposite angles are equal. Its diagonals.
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CHAPTER 23 Quadrilaterals. Special Quadrilaterals 1. Square a) All sides are the same length b) All angles are the same size (90°) c) Its diagonals bisect.
Rectangle l - length w - width Square s – side length s s s.
Unit 2 Quadrilaterals.
Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals.
Quadrilaterals and Triangles Part One: Rectangles, Squares.
The angles add up to 2 X 180 = 360º D B A + B + C + D =360
Geometry Notes Lesson 4.1B Special Quadrilaterals.
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