On Socrative. Take the quiz on Socrative Below is Question #4.

Slides:

Advertisements

Similar presentations

Areas of Rectangles and Parallelograms Areas of Triangles, Trapezoids and Kites.

Advertisements

9-2 Developing Formulas for Circles and Regular Polygons Warm Up

Developing Formulas for Triangles and Quadrilaterals

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.

Splash Screen. Over Lesson 11–1 5-Minute Check 1 A.48 cm B.56 cm C cm D.110 cm Find the perimeter of the figure. Round to the nearest tenth if necessary.

TODAY IN GEOMETRY…  Review: Pythagorean Theorem and Perimeter  Learning Target: You will find areas of different polygons  Independent practice.

Do Now 05/02/2014 Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = 35.

9-1 Developing Formulas for Triangles and Quadrilaterals Warm Up

Over Lesson 11–1 A.A B.B C.C D.D 5-Minute Check 1 48 cm Find the perimeter of the figure. Round to the nearest tenth if necessary.

A tangram is an ancient Chinese puzzle made from a square

6-7 Area of Triangles and Quadrilaterals Warm Up Lesson Presentation

Warm-Up Find the area and perimeter of the rectangle

Chapter Review Understand how to use formulas to find area and perimeter DO NOW: A particular rectangle has an area of 36 square feet and a.

Developing Formulas for Triangles and Quadrilaterals

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Areas of Trapezoids, Rhombuses, and Kites

Holt CA Course Perimeter The perimeter of a polygon is the sum of the lengths of its sides.

Holt McDougal Algebra Multiplying Polynomials 7-8 Multiplying Polynomials Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.

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.

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 c.

Area of a Trapezoid. What did you discover? We can find the area of a trapezoid by dividing it into other figures. Let’s look at the 3 ways to find the.

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.

Area 8.1 Rectangles & Parallelograms 8.2 Triangles, Trapezoids,& Kites.

10-1 Areas of Parallelograms and Triangles

A = h(b1 + b2) Area of a trapezoid

Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles and special.

8.1 Area of Rectangles and Parallelograms When you add to the truth you subtract from it. The Talmud.

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.

Areas of Trapezoids, Rhombi, and Kites LESSON 11–2.

Applying the Pythagorean Theorem and Its Converse 3-9 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson.

Holt McDougal Geometry 10-1 Developing Formulas Triangles and Quadrilaterals 10-1 Developing Formulas Triangles and Quadrilaterals Holt Geometry Warm Up.

Holt McDougal Geometry 10-1 Developing Formulas Triangles and Quadrilaterals 10-1 Developing Formulas Triangles and Quadrilaterals Holt Geometry Warm Up.

Holt Geometry 9-1 Developing Formulas for Triangles and Quadrilaterals Warm Up Find the unknown side length in each right triangle with legs a and b and.

How to find the area of a trapezoid and the area of a rhombus or a kite. Chapter 10.2GeometryStandard/Goal 2.2.

Do Now Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 b.

Holt Algebra Solving Radical Equations Warm Up(Add to Hw) Solve each equation. 1. 3x +5 = x + 1 = 2x – (x + 7)(x – 4) = 0 5. x 2.

Entry Task Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = 35 c = 29 a = 28.

Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 c.

10-1 Developing Formulas Triangles and Quadrilaterals Warm Up

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52.

LESSON 7.4 AREAS OF TRAPEZOIDS, RHOMBUSES, AND KITES OBJECTIVE:

10-1 Developing Formulas Triangles and Quadrilaterals Warm Up

9-1 Developing Formulas for Triangles and Quadrilaterals Warm Up

9-1 Developing Formulas for Triangles and Quadrilaterals Warm Up

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 c.

Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.

Five-Minute Check (over Lesson 11–1) Then/Now New Vocabulary

In a 40 minute period, Students will be able to find areas of trapezoids, rhombi, and kites using the appropriate formulas and score 80% or better on exit.

Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.

Class Greeting.

9-1 Developing Formulas for Triangles and Quadrilaterals Warm Up

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Use the figure for problems 1 and 2. round to the nearest hundredth 1) Find the height a of the triangle c 10 8 a 6 9 2) Find the length of side.

Areas of Trapezoids, Rhombi, and Kites

Holt McDougal Geometry 9-1 Developing Formulas for Triangles and Quadrilaterals 9-1 Developing Formulas for Triangles and Quadrilaterals Holt Geometry.

Warm Up Solve each equation

A tangram is an ancient Chinese puzzle made from a square

10-1 Developing Formulas Triangles and Quadrilaterals Warm Up

9-1 Developing Formulas for Triangles and Quadrilaterals Warm Up

Area of Trapezoids, Rhombuses, and Kites

Area of a a parallelogram

Area of Parallelograms and Triangles

9-1 Developing Formulas for Triangles and Quadrilaterals

Five-Minute Check (over Lesson 10–1) Mathematical Practices Then/Now

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 c.

Presentation transcript:

On Socrative

Take the quiz on Socrative Below is Question #4

Entry Task Can you come up with a formula for the area of a trapezoid using the picture below? What type of figure is created? Let the height of the original trapezoid be h. What is the length of the longest side of the parallelogram?

I understand the formulas for area of trapezoids kites and rhombuses. Success Criteria: I can apply formulas for areas of trapezoids, rhombuses and kites to find area and missing lengths Chapter 10.2 Learning Target

Find the area of a trapezoid in which b 1 = 8 in., b 2 = 5 in., and h = 6.2 in. Example 2A: Finding Measurements of Triangles and Trapezoids Simplify. Area of a trapezoid Substitute 8 for b 1, 5 for b 2, and 6.2 for h. A = 40.3 in 2

Example 2C: Finding Measurements of Triangles and Trapezoids Find b 2 of the trapezoid, in which A = 231 mm 2. Multiply both sides by. Sym. Prop. of = Subtract 23 from both sides. Substitute 231 for A, 23 for, and 11 for h. Area of a trapezoid 42 = 23 + b 2 19 = b 2 b 2 = 19 mm

The diagonals of a rhombus or kite are perpendicular, and the diagonals of a rhombus bisect each other. Remember!

Kite’s and rhombus’ d1d1 d2d2

A = ½ d 1 d 2

Example 3A: Finding Measurements of Rhombuses and Kites Find d 2 of a kite in which d 1 = 14 in. and A = 238 in 2. Area of a kite Substitute 238 for A and 14 for d 1. Solve for d 2. Sym. Prop. of = 34 = d 2 d 2 = 34

Homework P ,15,16,17,18,21,24,26,27,40

Lesson Quiz: Part II 3. the area of the trapezoid A = 16.8x ft 2 4. the base of a triangle in which h = 8 cm and A = (12x + 8) cm 2 b = (3x + 2) cm 5. the area of the rhombus A = 1080 m 2

Example 3B: Finding Measurements of Rhombuses and Kites Find the area of a rhombus.. Substitute (8x+7) for d 1 and (14x-6) for d 2. Multiply the binomials (FOIL). Distrib. Prop. Area of a rhombus

Check It Out! Example 3 Find d 2 of a rhombus in which d 1 = 3x m and A = 12xy m 2. d 2 = 8y m Formula for area of a rhombus Substitute. Simplify.

Lesson Quiz: Part III 6. The wallpaper pattern shown is a rectangle with a base of 4 in. and a height of 3 in. Use the grid to find the area of the shaded kite. A = 3 in 2