Section 10-1 Area of Parallelograms &Triangles Objectives: find area of a parallelogram and triangle Area = base x height A = bh h b Area = ½ base x height.

Slides:

Advertisements

Similar presentations

Space Figures and Cross Sections

Advertisements

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Section 8-2 The Pythagorean Theorem Objectives: Solve problems using the Pythagorean Theorem Right Angle: angle that forms 90° Hypotenuse: in a right triangle,

8cm 5cm Area = 8 x 5 = 40cm 2 A parallelogram can be split up into a rectangle and 2 triangles – each with the same area. 10cm 5cm.

6-1 Warm Up Problem of the Day Lesson Presentation

Perimeter The perimeter of a polygon is the sum of the lengths of the sides Example 1: Find the perimeter of  ABC O A(-1,-2) B(5,-2) C(5,6) AB = 5 – (-1)

Area of a rectangle: A = bh This formula can be used for squares and parallelograms. b h.

Bell Work Find the area of each figure. 5 in 9 in 13 in 6 in 16 in 22 in 10 in A = (13 + 9) 5 A = 11 5 A = (22) 5 A = 55 in² A = ( ) 10 A =

Areas of Parallelograms and Triangles Geometry Unit 4, Lesson 1.

8-4 Area of Triangles and Trapezoids Learn to find the area of triangles and trapezoids.

Areas of Parallelograms & Triangles

Section aFind the area of a rectangle and a square. bFind the area of a parallelogram, a triangle, and a trapezoid. cSolve applied problems involving.

Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area of Prisms and Cylinders. Vocabulary Net- the pattern you make if you unfold a three-dimensional figure and lay it out flat. Surface area-

PRE-ALGEBRA. Lesson 10-1 Warm-Up PRE-ALGEBRA Area: Parallelograms (10-1) area: the number of square units (squares) that the figure encloses (in other.

Section 10.1 – Area: Parallelograms pages

Daily Warm-UP Quiz 1.Write the distance formula: d = ___________________ 2. Write the slope formula: 3. Given: A (-5,2) B (-3,6) Find a. The slope of AB.

Section 8.1.  The area of a plane figure is the measure of the region enclosed by the figure. You measure the area of a figure by counting the number.

Chapter 8 - Area.

Surface Area 10-7 Warm Up Problem of the Day Lesson Presentation

Areas of Polygons COURSE 3 LESSON 8-7 Find the area of each parallelogram. a.b. A = bh Use the area of a parallelogram formula. = (32) (20) = (15) (11)

9-2 Area of Triangles and Trapezoids Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

7.1: Areas of Parallelograms and Triangles Objective: To find the area of a parallelogram and to find the area of a triangle.

Area of Quadrilateral.

Let’s Talk Triangles & Parallelograms

10-1: Area of Parallelograms and Triangles Objectives: To find the area of parallelograms and triangles To find the area of parallelograms and triangles.

Area of Parallelograms

Lesson 11.2 Area of Parallelograms and Triangles.

Given the parallelogram at right, we are able to determine that its area is equal to Activity You can use a parallelogram to find the area of a triangle.

7-1 Areas of Parallelograms and Triangles M11.C G Objectives: 1) To find the area of a parallelogram and a triangle.

8-7 Surface Area Learn to find the surface areas of prisms, pyramids, and cylinders.

Areas of Parallelograms and Triangles

10-1 Areas of Parallelograms and Triangles

10.1 Areas of Parallelograms and Triangles Area of a Rectangle – The area of a rectangle is the product of its base and height. – A = bh.

Objective: To find the area of a parallelogram and a triangle.

Warm-Up Find the length of the altitude in an equilateral triangle with a side length of 10 cm. Find the area of each triangle:

1. True or false: If the height of a rectangle equals the base of a parallelogram and the base of the rectangle equals the height of the parallelogram,

10-7 Surface Area Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

9.1 PERIMETER AND AREA OF PARALLELOGRAMS Objective: Students find the perimeter and area of parallelograms.

How to find the area of a parallelogram and the area of a triangle. Chapter 10.1GeometryStandard/Goal 2.2.

Chapter 10 Area Section 10.1 Areas of Parallelograms and Triangles.

1 cm Area is the number of unit squares needed to cover a region or surface. Area.

1 Area. Vocabulary  Area—The number of square units needed to cover a surface enclosed by a geometric figure.  Base—Any side of a parallelogram or triangle.

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.

Lesson 91 Warm Up Pg. 474.

6-1 Warm Up Problem of the Day Lesson Presentation

Area of Polygons and Circles

Area of Parallelograms and Triangles

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm UP Name the base, Name the figure

Areas of Triangles and Special Quadrilaterals

Warm Up: Find the circumference of the circle. Round to nearest hundredth 1. r = 3.4 m d = 9 cm Find the area of the figures. 3. Circle with.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

7-1 Areas of Parallelograms and Triangles

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Surface Area 10-9 Warm Up Problem of the Day Lesson Presentation

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Areas of Parallelograms and Triangles

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Exercise 1 2 Evaluate xy when x = 7 and y =

Parallelogram: Sides opposite are parallel

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Area of a a parallelogram

Friday, 24 May 2019 Formulae for Finding the Area of the Rectangle, Triangle, Parallelogram and Trapezium.

Areas of Parallelograms and Triangles

Surface Area 10-7 Warm Up Problem of the Day Lesson Presentation

Presentation transcript:

Section 10-1 Area of Parallelograms &Triangles Objectives: find area of a parallelogram and triangle Area = base x height A = bh h b Area = ½ base x height A = ½ bh h b

Finding Area of a Parallelogram Base of a parallelogram is any of its sides The corresponding altitude is a segment  to the line containing the base, drawn from the opposite side of the base. The height is the length of the altitude.

Find the area of a Parallelogram What is the area of the parallelogram? Find the area of PQRS with vertices P(1, 2), Q(6, 2), R(8, 5) and S(3, 5). 1. Graph the parallelogram. 2. Choose the base. 3. Substitute in A = bh. A = bh = 2(3.5) = 7 cm 2 b = PQ = 5 h = 3 A = bh = 5(3) = 15

A parallelogram has 9-in. and 18-in. sides. The height corresponding to the 9-in. base is 15 in. Find the height corresponding to the 18-in. base. Find the area of the parallelogram using the 9-in. base and its corresponding 15-in. height. A = bhArea of a parallelogram A = 9(15)Substitute 9 for b and 15 for h. A = 135Simplify. The area of the parallelogram is 135 in. 2 Find a missing dimension Use the area 135 in. 2 to find the height to the 18-in. base.

The height corresponding to the 18-in. base is 7.5 in. A = bhArea of a parallelogram 135 = 18hSubstitute 135 for A and 18 for b. = hDivide each side by = hSimplify continued

Finding Area of a Triangle Base of a triangle is any of its sides The corresponding height is the length of the altitude to the line containing the base base height Area = ½ bh

A = 195Simplify. A = bhArea of a triangle 1212 A = (30)(13)Substitute 30 for b and 13 for h XYZ has area 195 cm 2. Find the area of XYZ. Finding Area of a Triangle

The front of a garage is a square 15 ft on each side with a triangular roof above the square. The height of the triangular roof is 10.6 ft. To the nearest hundred, how much force is exerted by an 80 mi/h wind blowing directly against the front of the garage? Use the formula F = 0.004Av 2. Draw the front of the garage, and then use the area formulas for rectangles and triangles to find the area of the front of the garage. The total area of the front of the garage is = ft 2. Area of the square: bh = 15 2 = 225 ft 2 Area of the triangular roof: bh = (15)(10.6) = 79.5 ft Real-world Connection to Area Problems

Find the force of the wind against the front of the garage. F = 0.004Av 2 Use the formula for force. F = 0.004(304.5)(80) 2 Substitute for A and 80 for v. An 80 mi/h wind exerts a force of about 7800 lb against the front of the garage. A = Simplify. A 7800Round to the nearest hundred. …. continued