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.
Published byMichael Messer
Modified over 2 years ago
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
6.7 Area of Triangles and Quadrilaterals Area Postulates: Postulate 22 Area of a Square: The area of a square is the square of the length of its side,
Sect. 6.7 Areas of Triangles and Quadrilaterals Goal 1 Using Area Formulas Goal 2 Areas of Trapezoids, Kites and Rhombuses.
TODAY IN GEOMETRY… Review: Pythagorean Theorem and Perimeter Learning Target: You will find areas of different polygons Independent practice.
6.7 Area of Triangles and Quadrilaterals
Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites
Warm-Up Find the area: 1.Square with side length 13 2.Triangle with hypotenuse 13 and leg 5 3.Rectangle with base 24 and height 15 4.Parallelogram with.
10-2 Areas of Trapezoids, Rhombuses & Kites Objective: To find the area of a trapezoid, rhombus or kite Essential Understanding You can find the area of.
Developing Formulas for Triangles and Quadrilaterals
6.7 Areas of Triangles and Quadrilaterals Day #1 Geometry.
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,
Always, Sometimes, or Never
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.
A quadrilateral is a four-sided plane. A parallelogram is a four-sided plane that meets the following criteria: Opposite sides are parallel Opposite.
10.2 Areas of Trapezoids, Rhombuses, and Kites
TODAY IN GEOMETRY… BOOK RETURN: by this Friday! Learning Target 1: You will find areas of different polygons AT EXIT: In class assignment.
7.3 Area of Complex Figures
Warm-Up Find the area and perimeter of the rectangle
Chapter 11.1 Notes: Areas of Triangles and Parallelograms
6-7 Polygons in the Coordinate Plane. Classifying Quadrilaterals Given the coordinates of the vertices, how would you determine if the quadrilateral is…
Area of Triangles and Quadrilaterals Basic equations and applying to irregular polygons.
Areas of Rectangles and Parallelograms Areas of Triangles, Trapezoids and Kites.
Areas of Triangles and Quadrilaterals
TODAY IN GEOMETRY… Warm up: Areas of Triangles and Parallelograms Learning Target: 11.2 You will find areas of trapezoids, rhombuses and kites. Independent.
Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals
Chapter 6.1 Notes Polygon – is a simple, closed figure made with straight lines. vertex vertex side side Convex – has no indentation Concave – has an indentation.
7.4: Areas of Trapezoids, Rhombuses, and Kites
Geometry Section 11.2 Areas of Trapezoids, Rhombuses, and Kites.
Advanced Geometry 5.7 Proving Special Quadrilaterals.
Name That Quadrilateral Be as specific as possible. Trapezoid.
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 (
Two Special Right Triangles
Triangles, Trapezoids & Kites
Rectangle l - length w - width Square s – side length s s s.
11-2 Areas of Trapezoids, Rhombi, and Kites
Lesson 6.3/6.4 Objective: To find the two missing lengths of a 30°- 60°- 90°triangle. To classify four sided polygons. In a 30°-60°-90° triangle, The hypotenuse.
Quadrilaterals Lesson 11 – 5. Quadrilateral Def: a 4 sided polygon. or ‘ a figure with 4 sides and 4 angles’ **The SUM of the 4 angles must equal 360º**
Geometry Mr. Zampetti Unit 3, Day 4
Area of Parallelograms, Triangles, and Rhombuses Unit 11 Section 2 Understand what is meant by the area of a polygon Know and use the formulas for the.
10-2 Areas of Trapezoids, Rhombuses, and Kites. You will find the area of a trapezoid, a rhombus, and a kite.
10-1 Areas of Parallelograms and Triangles
6.7 Areas of Triangles and Quadrilaterals Warmup
Bellwork Solve for x x-2 5x-13 No Clickers. Bellwork Solution Solve for x x-2 5x-13.
Triangles and Quadrilaterals
Area By: Hayden Dean, Julian Cattles, and Bilal Al-Bassisi.
Properties of Quadrilaterals. Quadrilateral Trapezoid Isosceles Trapezoid Parallelogram RhombusRectangle Quadrilateral Tree Kite Square.
© 2017 SlidePlayer.com Inc. All rights reserved.