Congruent and Similar Solids

Slides:

Advertisements

Similar presentations

Honors Geometry Section 8.6 Areas and Volumes of Similar Figures

Advertisements

GEOMETRY CONTENT ACADEMY Three-Dimensional Figures SOL G.13, G.14 February 19, 2015 & March 5, 2015.

By Derrick Moore And Dakota Boren.  Identify congruent or similar solids.  State the properties of similar solids.

Chapter 12. Section 12-1  Also called solids  Enclose part of space.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–7) Then/Now New Vocabulary Key Concepts: Similar Solids Key Concepts: Congruent Solids Example.

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

Proportions with Perimeter, Area, and Volume

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

Chapter 12 Surface Area and Volume Identify the parts of prisms, pyramids, cylinders and cones. Find the lateral areas, total areas and volumes of right.

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

10-8 Areas and Volumes of Similar Solids

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.

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.

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

7-2 Similar Polygons Objective To identify and apply similar polygons.

Lesson 4 Menu 1.Find the volume of the sphere. Round to the nearest tenth. 2.Find the volume of the hemisphere. Round to the nearest tenth. 3.Find the.

Chapter 12.1 Notes Polyhedron – is a solid that is bounded by polygons, called faces, that enclose a single region of space. Edge – of a polygon is a line.

10-8 Areas and Volumes of Similar Solids

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

9-3B Volume of Similar Solids What is the relationship between the similarity ratio of two similar solids and the volumes of those solids?

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.

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,

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

) Find the surface area of this rectangular prism. 2) Find the volume of this rectangular prism.

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

7-2 Similar Polygons Objectives Students will be able to:

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

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

Similar Polygons NOTES 8.1 Goals 1)Use Similarity Statements 2)Find corresponding lengths in similar polygons 3)Find perimeters & areas of similar polygons.

Geometry/Trig 2 Unit 10 – Total Area and VolumeName: ____________________________________ page 1.

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;

Congruent and Similar Solids LESSON 12–8. Lesson Menu Five-Minute Check (over Lesson 12–7) TEKS Then/Now New Vocabulary Key Concept: Similar Solids Key.

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

U NIT 9- SOLIDS SOL/TEI Q UESTIONS Copy into your SOL Binder (day 65) Answer: Cone & Sphere.

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)

Surface Area and Volume

Lesson: Volumes of Solids

Surface Area and Volume of Similar Figures

Objective To identify and apply similar polygons

A Surface Area of Similar Solids

Scaling Three-Dimensional Figures

6.3 Use Similar Polygons.

Areas and Volumes of Similar Solids

Similar Solids and Scale Factor

Section 8.3 Similar Polygons

13.4 Congruent and Similar Solids

Identify congruent or similar solids.

Congruent and Similar Solids

EXAMPLE 2 Use the scale factor of similar solids Packaging

Lesson 9-5 Similar Solids.

Areas and Volumes of Similar Solids

11.7: Surface Area and Volume for Similar Solids

Similar Shapes.

EXAMPLE 2 Use the scale factor of similar solids Packaging

Volume ratios of similar solids

11.9 ∼ Solids Mrs. vazquez Geometry.

Lesson 9-5: Similar Solids

Congruent and Similar Solids

Five-Minute Check (over Lesson 11–5) Mathematical Practices Then/Now

Lesson 9-5: Similar Solids

Ch. 11 Similar Solids.

Presentation transcript:

Congruent and Similar Solids Section 11.5

Scale Factor Order matters, simplified ratio Congruent Scale Factor is 1:1 Similar Scale Factor is 1:2

Congruent Solids The corresponding angles, edges, areas and volumes are all in the relationship of 1:1 Identify the congruent solids.

Which cylinder is similar to Cylinder A? Scale Factor 4 : 5 Ratio of Surface Area 16 : 25 Ratio of Volume 64 : 125

1. The radii of two spheres are 3 cm and 2 cm 1. The radii of two spheres are 3 cm and 2 cm. Find the ratio of their volumes. 27 : 8 2 : 3 3 : 2 9 : 4

2. The ratio of volumes of two similar solids is 729 : 512 2. The ratio of volumes of two similar solids is 729 : 512. What is the similarity ratio (scale factor) of the solids? 81 : 64 64 : 81 9 : 8 8 : 9

3. Which one of the following statements is true about the solids shown? They are neither similar nor congruent. Not enough information is given to judge. They are congruent. They are similar.