10-5 Effects of Changing Dimensions Proportionally

Slides:

Advertisements

Similar presentations

Holt CA Course Volume of Prisms and Cylinders Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Advertisements

Volume of Prisms and Cylinders

Surface Area of Prisms and Cylinders 10-4 Holt Geometry.

Applications of Proportions

Surface Area of 10-4 Prisms and Cylinders Warm Up Lesson Presentation

Geometric Probability

Using Formulas in Geometry

No Warm-Ups This Week We will have a test Monday over formulas and area.

Using Formulas in Geometry

Surface Area of 10-5 Pyramids and Cones Warm Up Lesson Presentation

9-5 Warm Up Lesson Presentation Lesson Quiz Effects of Changing

Similar Triangles and Polygons

Example 1: Effects of Changing One Dimension

Applications of Proportions

$100 Area of Parallelograms Area of Triangles Perimeter And Area Area of Trapezoids Area of Compound Figures & Area and Circumference of Circles $200.

Section Using Formulas in Geometry Holt McDougal Geometry

Geometry: Changing Dimensions

Warm Up Find the perimeter and area of each polygon.

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Volume of Pyramids and Cones

Objective Apply formulas for perimeter, area, and circumference.

Objectives Use proportions to solve problems involving geometric figures. Use proportions and similar figures to measure objects indirectly.

Similar figures have exactly the same shape but not necessarily the same size. Corresponding sides of two figures are in the same relative position, and.

9-7 Dilations Holt McDougal Geometry Holt Geometry.

Holt McDougal Geometry 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Holt CA Course Perimeter Warm Up 1. What figure has four equal sides and four right angles? 2. What figure has eight sides? 3. What figure has five.

USING FORMULAS IN GEOMETRY Geometry H2 (Holt 1-5)K. Santos.

Geometry 9-5 Changing Dimensions (Proportionally) If you change each dimension of a figure, the figure will be similar only larger or smaller. Double each.

Holt McDougal Geometry 7-2 Similarity and Transformations 7-2 Similarity and Transformations Holt GeometryHolt McDougal Geometry.

Effects of Changing Dimensions Proportionally 9-5 Holt Geometry.

Holt Geometry 10-6 Volume of Prisms and Cylinders 10-6 Volume of Prisms and Cylinders Holt Geometry.

9-5 Warm Up Lesson Presentation Lesson Quiz Effects of Changing

Holt Geometry 10-4 Surface Area of Prisms and Cylinders 10-4 Surface Area of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Volume of Prisms and Cylinders

Holt Geometry 10-6 Volume of Prisms and Cylinders Warm Up Find the area of each figure. Round to the nearest tenth. 1. an equilateral triangle with edge.

Holt Geometry 10-6 Volume of Prisms and Cylinders 10-6 Volume of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Holt McDougal Geometry 10-4 Surface Area of Prisms and Cylinders 10-4 Surface Area of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation.

Spheres Section 11-4 Holt McDougal Geometry Holt Geometry.

Holt Geometry 10-6 Volume of Prisms and Cylinders Warm Up Find the area of each figure. Round to the nearest tenth. 1. an equilateral triangle with edge.

Perimeter, Circumference and Area. Perimeter and Circumference Perimeter : The distance around a geometric figure. Circumference: The distance around.

Holt McDougal Geometry 10-6 Volume of Prisms and Cylinders 10-6 Volume of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.

Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft 3. ABC with.

Holt McDougal Geometry 1-4 Pairs of Angles WARM-UP – 4 Points Calculate x, y, and z 44°y+40 9x+91 h z.

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

Holt Geometry Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft.

Holt McDougal Geometry 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Dilations 9-7 Warm Up Lesson Presentation Lesson Quiz

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

Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft 3. ABC with.

G-11 (1-5) Using formulas in Geometry I can use formulas to compute perimeter and area of triangles, squares, rectangles, and circles.

Holt McDougal Geometry 10-5 Effects of Changing Dimensions Proportionally 10-5 Effects of Changing Dimensions Proportionally Holt Geometry Warm Up Warm.

Warm Up Find the perimeter and area of each polygon.

Volume of Prisms and Cylinders

Using Proportional Relationships

UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM

Dilations 9-7 Warm Up Lesson Presentation Lesson Quiz

Applications of Proportions

Math Humor Write the expression for the volume of a thick crust pizza with height "a" and radius "z". Hint: To find the volume, multiply the area of the.

Volume of Pyramids and Cones

Chapter 10: Perimeter, Area & Circumference

12-7 Dilations Warm Up Lesson Presentation Lesson Quiz Holt Geometry.

Objectives Describe the effect on perimeter and area when one or more dimensions of a figure are changed. Apply the relationship between perimeter and.

Class Greeting.

9-5 Warm Up Lesson Presentation Lesson Quiz Effects of Changing

Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft 3. What’s bigger:

Objectives and Student Expectations

Quiz, Perimeter and Area

Volume of Prisms and Cylinders

Presentation transcript:

10-5 Effects of Changing Dimensions Proportionally Holt McDougal Geometry Holt Geometry

Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft 3. ABC with vertices A(–3, 1), B(2, 4), and C(5, 1)

In the graph, the height of each DVD is used to represent the number of DVDs shipped per year. However as the height of each DVD increases, the width also increases, which can create a misleading effect.

Describe the effect of each change on the area of the given figure. The height of the triangle is multiplied by 6. original dimensions: multiply the height by 6:

The diagonal SU of the kite with vertices R(2, 2), S(4, 0), T(2, –2), and U(–5,0) is multiplied by .

The height of the rectangle is tripled. Describe the effect on the area.

If the radius of a circle or the side length of a square is changed, the size of the entire figure changes proportionally. Helpful Hint

Describe the effect of each change on the perimeter or circumference and the area of the given figures. The base and height of a rectangle with base 4 ft and height 5 ft are both doubled.

The radius of J is multiplied by .

The base and height of the triangle with vertices P(2, 5), Q(2, 1), and R(7, 1) are tripled. Describe the effect on its area and perimeter.

When the dimensions of a figure are changed proportionally, the figure will be similar to the original figure.

A circle has a circumference of 32 in A circle has a circumference of 32 in. If the area is multiplied by 4, what happens to the radius?

An equilateral triangle has a perimeter of 21m An equilateral triangle has a perimeter of 21m. If the area is multiplied by , what happens to the side length?

A square has a perimeter of 36 mm A square has a perimeter of 36 mm. If the area is multiplied by , what happens to the side length?

Lesson Quiz: Part I Describe the effect of each change on the area of the given figure. 1. The base length of the rectangle is multiplied by 8. 2. The radius of the circle is tripled.

Lesson Quiz: Part II 3. A square has an area of 49 cm2. If the area is quadrupled, what happens to the side length? 4. Rob had a 10 ft by 12 ft wall painted. For a wall twice as wide, the painter charged him twice as much. Is this reasonable? Explain.