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6.7 Areas of Triangles and Quadrilaterals
The area of a Square Area of a Square
Postulate If two polygons are congruent, then they have the same area.
Area Addition Postulate The area of a region is the sum of the area of it nonoverlapping parts. The Blue area is Area of A+B+C+D+E+F+G+H
The Area of a Rectangle Area of a Rectangle is Base times height.
The Area of a Parallelogram Area of a Parallelogram is Base times height.
Area of a Triangle Area is one half base times height, even if the height is outside of the triangle
Area of a Trapezoid Area is one half height times(base 1 + base 2 ). Height is from base 1 to base 2
Area of a Kite Area is one half of diagonal 1 times diagonal 2
Area of a Rhombus Area is one half of diagonal 1 times diagonal 2
Find the Area Square
Find the Area Square Area in 2
Find the Area Rectangles Area =
Find the Area Rectangles Area = 27.36in in 2 = in 2
Find the Area Parallelogram Area =
Find the Area Parallelogram Area = in 2
Find the Area Find the area of the Trapezoid
Find the Area Find the area of the Trapezoid height = 4 base 1 = 4 base 2 = 6
Find the Area Find the area of the Trapezoid Area height = 4 ½(4)(4+6) ½(4)(10) base 1 = 4 2(10) base 2 = 6 Area = 20
Find the length of the diagonal Rhombus Area is 192 units 2
Find the length of the diagonal Rhombus Area is 192 units = ½(8+16)(diagonal) 192 = ½(24)(diagonal) 192 = 12(diagonal) 16 = diagonal What is x ?
Find the Area What is the total Area
Find the Area What is the total Area Trap = ½(3)(10+16) = 39 Rect. = 8(16) = 128 Total = 167in 2
Homework Page 376 – 377 # 14 – 38
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Homework Answers cm in m m yd ft in 12. B cm units units 2.
Area in the amount of space inside an enclosed region. Area of Rectangle = base x height Base =10 Height = 6 Area = (10)(6) = 60 square units.
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FeatureLesson Geometry Lesson Main (For help, go to Lesson 10-1.) 1. rectangle2. a triangle Lesson 10-2 Areas of Trapezoids, Rhombuses, and Kites.
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Copyright©amberpasillas2010. Today we are going to find the Area of Parallelograms a nd the Area of Triangles.
6.9 Using Equations that Factor. 1. The product of two consecutive positive even integers is 48. Find the two integers. Let n = first even integer (n.
MA.912.G.2.5: Explain the derivation and apply formulas for perimeter and area of polygons (triangles, quadrilaterals, pentagons, etc.).
Working with Shapes in Two Dimensions Two-Dimensional Objects.
All about Shapes Properties of Shapes Number of sides Number of angles Number of lines of symmetry Regular or irregular Right Angles Parallel lines.
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