Similar Solids 12.7. definition Similar Solids Two solids in which their corresponding linear measures form equal ratios. 4 3 6 4.5 3 5 9 5.4 4 6 3 4.5.

Slides:

Advertisements

Similar presentations

Honors Geometry Section 8.6 Areas and Volumes of Similar Figures

Advertisements

How Does The Measure Change? pg. 20 Similar Solids

11-7 Areas and Volumes of Similar Solids. Problem 1: Identifying Similar Solids Are the two rectangular prisms similar? If so what is the scale factor.

Lesson 9-5: Similar Solids

Surface Area and Volume of Similar Figures

Chapter Similar Solids Two Solids with equal ratios of corresponding linear measurements Ratios Not Equal Not Similar Ratios equal Solids are.

12-8 Congruent and Similar Solids

12.7 Similar Solids. Definitions of Similar Solids Similar Solids have congruent angles and linear measure in the same ratios. Scale factor 9 : 3 Perimeter.

Honors Geometry Section 8.6 Areas and Volumes of Similar Figures

12.7 Similar Solids Geometry Mrs. Spitz Spring 2006.

12.7 Similar Solids. Vocabulary  Similar Solids- Two solids with equal ratios of corresponding linear measures, such as height or radii are called similar.

GEOMETRIC SOLIDS 1 Similar Solids. SIMILAR SOLIDS 2 Definition: Two solids of the same type with equal ratios of corresponding linear measures (such as.

10-8 Areas and Volumes of Similar Solids

Warm-Up Exercises 1. Right rectangular prism, side lengths 8 in., 5 in., and 10 in. 2. Right cone, radius 3 m, height 4 m ANSWER 340 in. 2 ; 400 in. 3.

Warm Up A shape has 5 faces, and 5 vertices how many edges does the shape have? A sphere has a radius of 7.5, what is its surface area and volume? What.

Lesson 11-7 Similar Solids. Two solids of the same type with equal ratios of corresponding linear measures are called similar solids.

12-7 Similar Solids Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Lesson 9-5: Similar Solids

Section 12.7 Explore Similar Solids. Homework none.

3.4e: Congruent and Similar Solids p GSE’s Primary Secondary M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric.

EXAMPLE 1 Identify similar solids Tell whether the given right rectangular prism is similar to the right rectangular prism shown at the right. a. b.

Similar Solids Lesson Draw and label two circles that are similar. Identify their scale factor. 2. Draw two rectangles that are similar. Identify.

10-8 Areas and Volumes of Similar Solids

LESSON 8.4 SURFACE AREAS AND VOLUME OF SIMILAR SOLIDS Advanced Two Chapter 8 Volume and Similar Solids.

By: David Samkutty and Viet Tran Blah ™. Objectives Identify Congruent or Similar Solids State the properties of similar solids.

Geometry 6.3 Big Idea: Use Similar Polygons

11.3 Perimeters and Area of Similar Figures

Surface Area and Volume of Similar Figures Section 12.7.

Areas & Volumes of Similar Solids Objective: 1) To find relationships between the ratios of the areas & volumes of similar solids.

Similar Ratios Are the following similar and if so what is their ratio? / 6 1 / 2 2 / 4 1 / 2 3 / 6 1 / 2 Yes, 1:2.

Remember these!? Surface Area of a Prism = ph +2B

Skyler Cornaby and Lyndon Crouch 13-4 SIMILAR AND CONGRUENT SOLIDS.

12.7 Exploring Similar Solids Hubarth Geometry. Two solids of the same type with equal ratios of corresponding linear measures, such as height or radii,

10-8 Areas and Volumes of Similar Solids Theorem Theorem Similar Solids Similar Solids Similarity Ratio Similarity Ratio.

∆ Identify congruent or similar solids. ∆ State the properties of similar solids.

Similar polygons. If two polygons are similar, then their corresponding angles are congruent or have equal measures, and the ratios of their corresponding.

Similarity. Do Now What is the volume of the prism below: 3 in 2 in 7 in.

11.5 Volumes of Prisms and Cylinders OBJ: SWBAT find volumes of prisms and cylinders, use the formula for density, and use volumes of prisms and cylinders.

7.7 How Does The Measure Change? pg. 19 Similar Solids.

12.7 Similar Solids Geometry. Objectives Find and use the scale factor of similar solids. Use similar solids to solve real-life problems.

Opener Find the volume of each figure. 2) 1) V = cm 3 V ≈ 2,143,573 km 3 4 cm 80 km.

Similar Solids 12.7 Geometry. Similar Solids Two solids of the same type with equal ratios of corresponding linear measures (such as heights or radii)

The Fundamental Theorem of Similarity. The FTS I 5 II Find the scale factor (ratio of similitude):

Lesson: Surface Area of Solids

Lesson: Volumes of Solids

Surface Area and Volume of Similar Figures

Scaling Three-Dimensional Figures

Similar Solids and Scale Factor

Section 8.3 Similar Polygons

12.7 Similar Solids THE LAST ONE!!!!!!! WOO-HOO!!!!!!!

13.4 Congruent and Similar Solids

11.3 Perimeters and Area of Similar Figures

11.3 Perimeters and Area of Similar Figures

How dimension change affects surface area and volume.

Lesson 9-5: Similar Solids

EXAMPLE 2 Use the scale factor of similar solids Packaging

Congruent and Similar Solids

Lesson 9-5 Similar Solids.

Areas and Volumes of Similar Solids

11.7: Surface Area and Volume for Similar Solids

7.7 Perimeters and Area of Similar Figures

Lesson: Similar Solids

Similar Shapes.

EXAMPLE 2 Use the scale factor of similar solids Packaging

Volume Ratios of Similar Solids

Volume ratios of similar solids

11.9 ∼ Solids Mrs. vazquez Geometry.

Lesson 9-5: Similar Solids

Lesson 9-5: Similar Solids

Ch. 11 Similar Solids.

Presentation transcript:

Similar Solids 12.7

definition Similar Solids Two solids in which their corresponding linear measures form equal ratios = =

theorem Similar Solids If two similar solids have a scale factor of a:b, then ratio of their areas is a 2 :b 2 and ratio of their volumes is a 3 :b scale factor area ratio volume ratio

examples Are the two solids similar? = ? = ? No

example Are the two solids similar? = ? = ? Yes

example The two prisms are similar. Find the surface area of the smaller prism scale factor area ratio

example The two prisms are similar. Find the volume of the smaller prism. scale factor volume ratio 2121