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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 PostulateThe 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 Parallelogramis 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(base1 + base2).Height is from base1 to base2
Area of a Kite Area is one half of diagonal1times diagonal2
Area of a Rhombus Area is one half of diagonal1 times diagonal2
Find the Area Square
Find the Area Square Area in2
Find the Area Rectangles Area =
Find the Area Rectangles Area = 27.36in in2 = in2
Find the Area Parallelogram Area =
Find the Area Parallelogram Area = in2
Find the Area Find the area of the Trapezoid
Find the Area Find the area of the Trapezoid height = 4 base1 = 4
Find the Area Find the area of the Trapezoid Area height = 4 ½(4)(4+6)½(4)(10) base1 = 4 2(10) base2 = 6 Area = 20
Find the length of the diagonalRhombus Area is 192 units2
Find the length of the diagonalRhombus Area is 192 units2 192 = 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) = 39Rect. = 8(16) = 128 Total = 167in2
Homework Page 376 – 377 # 14 – 38
Triangles, Trapezoids & Kites
Areas of Triangles and Quadrilaterals
11-2 Areas of Trapezoids, Rhombi, and Kites
Area of Common Shapes.
7.3 Area of Complex Figures
Area of triangles.
Parallelograms Rhombus Square Parallelogram Rectangle
Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals
Two Special Right Triangles
A quadrilateral is a four-sided plane. A parallelogram is a four-sided plane that meets the following criteria: Opposite sides are parallel Opposite.
4/10 – 4/11 Outcomes You will be able to find the areas of squares, rectangles, parallelograms and triangles. You will be able to find the areas of trapezoids,
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 (
What am I?.
Triangles and Quadrilaterals
Areas of Rectangles and Parallelograms Areas of Triangles, Trapezoids and Kites.
Developing Formulas for Triangles and Quadrilaterals
Using Area Formulas You can use the postulates below to prove several theorems. AREA POSTULATES Postulate 22 Area of a Square Postulate Postulate 23 Area.
TODAY IN GEOMETRY… Review: Pythagorean Theorem and Perimeter Learning Target: You will find areas of different polygons Independent practice.
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