We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
supports HTML5 video
Published byRafe Willis
Modified over 5 years ago
Developing Formulas for Triangles and QuadrilateralsGeometry H2 (Holt 10-1) K. Santos
Area of a ParallelogramArea = product of its base and height A= bh Base must be perpendicular to the height b h 5cm 3cm 9cm
Example Find the perimeter of a parallelogram, in which the base is 4ft and the area is 12 𝑓𝑡 2 .
Area of a Triangle Area = one half of the product of its base and height A= 1 2 bh or A = 𝑏ℎ 2 Base perpendicular to height h h h b b b If b = 4” and h = 6”
Example—finding a sideThe area of a triangle is 24 𝑐𝑚 2 and its height is 3 cm. Find the length of its corresponding base.
Area of a Trapezoid Area = (average of the bases)(height) A = 𝑏 1 + 𝑏 2 2 h 𝑏 1 h 𝑏 2 Remember: height is perpendicular to both bases
Example 1--Trapezoid Find the area of the trapezoid. 20 in 25 in 18 in 36 in
Example 2--Trapezoid Find the area of the trapezoid. 11 ft 13 ft 16 ft
Area of a Rhombus The area of a rhombus is half the product of the lengths of its diagonals. A = 𝑑 1 𝑑 2 2 𝑑 2 𝑑 1 Example: Find the area if the diagonals are: 6 in and 8 in
Area of a Kite The area of a kite is half the product of the lengths of its diagonals. 𝑑 1 A = 𝑑 1 𝑑 2 2 𝑑 2 Example 1: Kite with diagonals 9 cm & 8 cm
Example 2--Kite Find the area of the kite. 5” 4” A = 𝑑 1 𝑑 2 2 6”
Formulas Square: A = bh Rectangle: A = bh Parallelogram: A = bh Trapezoid: A = 𝑏 1 + 𝑏 2 2 h Triangle: A = ½ bh Rhombus: A = 𝑑 1 𝑑 2 2 Kite: A = 𝑑 1 𝑑 2 2
Area Addition PostulateThe area of a region is equal to the sum of the areas of its nonoverlapping parts. Best way to find this area is to find the area of rectangle + area of triangle
Example—Partitioning ShapesFind the area of the shape below: Find the sum of the areas of the rectangle and the triangle
Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals
Triangles, Quadrilaterals, Nets, Prisms & Composite Polygons
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.
7.4: Areas of Trapezoids, Rhombuses and Kites Objectives: To find the area of a trapezoid, rhombus and kite. To use right triangles in finding area of.
TODAY IN GEOMETRY… Review: Pythagorean Theorem and Perimeter Learning Target: You will find areas of different polygons Independent practice.
Unit 13 Areas Presentation 1Formula for Area Presentation 2Areas and Circumferences of Circles Presentation 3Formula for Areas of Trapeziums, Parallelograms.
10-2 Area of a Triangle 1.) What is the formula for the area of a rectangle? 2.) If a rectangle is divided into two equal triangles, what is the formula.
9-1 Developing Formulas for Triangles and Quadrilaterals Warm Up
Geometry Quadrilaterals. Geometry: Plane Shapes quadrilateral: any closed, four-sided shape.
A tangram is an ancient Chinese puzzle made from a square
6-7 Area of Triangles and Quadrilaterals Warm Up Lesson Presentation
6.7 Areas of Triangles and Quadrilaterals Warmup
Warm-Up Find the area and perimeter of the rectangle
Section 9-4 Perimeter, Area, and Circumference.
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.
Areas of Triangles, Parallelograms, & Trapezoids.
USING FORMULAS IN GEOMETRY Geometry CP1 (Holt 1-5)K. Santos.
© 2020 SlidePlayer.com Inc. All rights reserved.