Explore Similar Solids

Slides:

Advertisements

Similar presentations

from the current ‘Kentucky Program of Studies’ High School Skills and Concepts – Systems of Measurement Students will -make decisions about units and.

Advertisements

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.

Similar Triangles/Polygons

Using Proportions to Solve Geometry Problems Section 6.3.

Proportions with Perimeter, Area, and Volume

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. 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.

Surface Area and Volume

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.

GEOMETRY HELP Are the two solids similar? If so, give the similarity ratio. Both solid figures have the same shape. Check that the ratios of the corresponding.

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.

Solve the following proportions. a = 9 b = 7 c = 6 d = 6.

Bellwork 1)Are the triangles similar? 2)Find x 80° 70° 80° 30° x.

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

1 Objectives To set up ratios and solve proportions To identify similar polygons using ratios.

11.3 Perimeters and Area of Similar Figures

Lesson 6.4 Prove Triangles Similar by AA. Objective Use the AA similarity postulate.

Surface Area and Volume of Similar Figures Section 12.7.

Lesson 1.7 Find Perimeter, Circumference, and Area.

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

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

Unit 1 Transformations Day 5.  Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons.

 Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.

6.3.1 Use similar Polygons Chapter 6: Similarity.

G.14 The student will use similar geometric objects in two- or three-dimensions to a. compare ratios between side lengths, perimeters, areas, and volumes;

Ratio of Areas Unit 11 Section 7 Find the ratio of areas of two triangles. Understand and apply the relationships between scale factors, perimeters, and.

March 8 th,  Problem 1) A) What is the formula for the area of a circle? B) What is the formula for the circumference of a circle? C) How do these.

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)

Chapter 10 mini unit VOLUME and SURFACE AREA. Do , 9 Then do 5-8 #2-4 is like working backwards.

Surface Area and Volume of Similar Figures

A Unit about Change in Geometric Figures and Solids

7.1 Proportions Solving proportions

Perimeters and Areas of Similar Figures

11.6 Perimeters and Areas of Similar Figures

6.3 Use Similar Polygons.

Areas and Volumes of Similar Solids

7.7: Perimeters and Areas of Similar Figures

12-5: Area and Volumes of Similar Solids

Similar Solids and Scale Factor

Notes #6 1-6 Two Dimensional Figures

11.3 Perimeters and Area of Similar Figures

Ratios, Rates and Percents

11.3 Perimeters and Area of Similar Figures

How dimension change affects surface area and volume.

Lesson 9-5: Similar Solids

Class Greeting.

Lesson 9-5 Similar Solids.

11.7: Surface Area and Volume for Similar Solids

7.7 Perimeters and Area of Similar Figures

Lesson: Similar Solids

Lesson 44 Applying Similarity.

Drill Solve for x: Find the surface Area of a rectangular prism if the dimensions are 3 x 5 x 6. Find the volume of a right cylinder with radius 5 cm.

Similar Shapes.

Volume Ratios of Similar Solids

Lesson 9-5: Similar Solids

Objectives and Student Expectations

11.1 Even Answers.

Lesson 9-5: Similar Solids

Ch. 11 Similar Solids.

Presentation transcript:

Explore Similar Solids Lesson 12.7 Explore Similar Solids

Objective Students will use properties of similar solids

Standard 11.0 – Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. 8.0 – Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.

Academic Language Similar Solids

Explain Why

Similar Solids Two solids of the same type with equal ratios of corresponding linear measures, such as heights or radii

Think/Pair/Share Think back to similar polygons we studied earlier this year. What was true about the ratios of side lengths and perimeters? Side length ratios and Area ratios? What do you predict with be the relationship between the ratio of the side lengths and volumes of similar polyhedra?

Things are just peachy!

Homework p.850 #1, 2, 3, 5, 7, 9, 11, 12, 14, 17, 19