Chapter 10 Area Section 10.1 Areas of Parallelograms and Triangles.

Slides:

Advertisements

Similar presentations

Area and Perimeter By Christine Berg Edited by V T Hamilton.

Advertisements

Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals

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

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.

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

6-1 Warm Up Problem of the Day Lesson Presentation

A tangram is an ancient Chinese puzzle made from a square

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.

Areas of Polygons Chapter 11 Sections 11.1, 11.2 and 11.3.

Developing Formulas for Triangles and Quadrilaterals

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.

3 Special Figures: The Rhombus, The Rectangle, The Square A Retrospect.

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

GEOMETRY – Area of Parallelogram, Rhombus, and Trapezoid A parallelogram is a 4 – sided figure created by two pairs of parallel sides. Opposite sides are.

Section 16.1 Pythagorean Theorem a=11.6. x=3.86 y=4.60 x=

Section 10.1 – Area: Parallelograms pages

Area Formulas and Parallelograms

Geometry 11.1 Areas of Rectangles.

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.

How to Find the Area of a Parallelogram Step 1, Plan: To find the area of a parallelogram, use the formula A = bh.

Chapter 11.1 Notes: Areas of Triangles and Parallelograms

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.

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

10.1 Area of Parallelograms & Triangles

11-1 Areas of Parallelograms & Triangles Ms. Andrejko.

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

Chapter 8 Quadrilaterals. Section 8-1 Quadrilaterals.

Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites

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.

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,

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.

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

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.

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

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.

Areas of Trapezoids, Rhombuses, and Kites Objective: 1.To find the areas of trapezoids, rhombuses, and kites.

How can you apply formulas for perimeter, circumference, and area to find and compare measures?

Sect. 6.7 Areas of Triangles and Quadrilaterals Goal 1 Using Area Formulas Goal 2 Areas of Trapezoids, Kites and Rhombuses.

LESSON Today: New Chapter The wise look ahead to see what is coming, but fools deceive themselves. Solomon.

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.

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.

Chapter 11 Areas of Plane Figures (page 422)

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.

Area of Polygons and Circles

Copyright © Cengage Learning. All rights reserved.

Objective: To find the perimeters and areas of similar figures.

CHAPTER 11 Areas of Plane Figures.

Areas of Triangles and Special Quadrilaterals

Section 7.2 Perimeter and Area of Polygons

Class Greeting.

9-1 Developing Formulas for s and quads

Finding the Area of Rectangles and Parallelograms

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

A tangram is an ancient Chinese puzzle made from a square

Areas of Parallelograms and Triangles

Areas of Triangles and Special Quadrilaterals

Drill Use distance formula to find the distance between the two points given below: (2, 5) and (8, 13) 2) Find the perimeter of a square if one of the.

Section 11-1 Areas of Rectangles.

Area of a a parallelogram

Areas of Parallelograms and Triangles

Presentation transcript:

Chapter 10 Area Section 10.1 Areas of Parallelograms and Triangles

Warm up (write on a slip of paper, but don’t turn in) Can you answer these? 1.Tell what each letter represents in the formula A = s 2. 2.Tell what each letter represents in the formula A = bh. 3.Find the area and perimeter of a square with sides 5 cm long. 4.The perimeter of a square is 28 cm. What is the area? 5.The area of a square is 64 cm 2. What is the perimeter? 6.Describe or draw: perimeter, diagonal

Theorem 10-1 Area of a Rectangle Theorem 10-2 Area of a Parallelogram A base of a parallelogram is any of its sides. The corresponding altitude is a segment perpendicular to the line containing that base, drawn from the side opposite the base. The height is the length of an altitude.

Theorem 10-3 Area of a Triangle A base of a triangle is any of its sides. The corresponding height is the length of the altitude to the line containing that base.

Area of a Square

Area of a Rhombus

Area of a Trapezoid

Area Addition Postulate The area of a region is the sum of the areas of its non-overlapping parts.

Example 1 Consecutive sides of the figure are perpendicular. Find the area of the total figure. Additional Question: If this was carpet, how much Would you pay if $4.00 sq. ft?

Example 2 Find the area of a square with diagonals length 8.

Example 3 Find the area of the triangles.

Example 4 Find the area of the rhombus.