Jeopardy $100 Similar? Missing SideScale Factor Vocabulary Word Problems $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300.

Slides:



Advertisements
Similar presentations
Unit 5 review. QUESTION 1 A transformation where a geometric figure is reduced or enlarged in the coordinate plane is called a _____________________.
Advertisements

Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.
SIMILAR AND CONGRUENT. CONGRUENT FIGURES In order to be congruent, two figures must be the same size and same shape. ~ =
Applications of Proportions
Copyright © Ed2Net Learning, Inc. 1 Algebra I Applications of Proportions.
Congruence and Similarity
Math-7 QUIZ “Proportions” Fill-in-the-Blank: 1)A proportion can be described as two ______________________ ratios. Do the following ratios form proportions?
Similar figures have exactly the same shape but not necessarily the same ______________. Corresponding sides of two figures are in the same relative position,
Similar Polygons.
Today’s Lesson: What: similar Figures Why: To use proportions to solve problems involving similar figures. What: similar Figures Why: To use proportions.
Determining Scale Factor We are learning to…use proportional reasoning to solve for missing side lengths of polygons. Wednesday, August 19, 2015.
Applications of Proportions
Ratios and Proportions
This is Math Jeopardy! Proportions Similar Polygons Similar Triangles Ratios Word Problems Miscellaneous
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.
Applications of Proportions
11-5 Areas of Similar Figures You used scale factors and proportions to solve problems involving the perimeters of similar figures. Find areas of similar.
Extension 3.6 Proportions and Similar Figures A.What do you know about similar triangles and congruent triangles? B.Definitions 1.Similar triangles – have.
Proportions & Similar Figures. Proportions A proportion is an equation that shows two equivalent ratios. NS 1.3.
Using Similar Figures 4-5. Vocabulary Indirect measurement- a method of using proportions to find an unknown length or distance in similar figures.
5.9 Similar Figures.
Unit 6 Part 1 Using Proportions, Similar Polygons, and Ratios.
Similar Figures Notes. Solving Proportions Review  Before we can discuss Similar Figures we need to review how to solve proportions…. Any ideas?
Similar Figures and Scale Drawings
Similar Figures, Scale Drawings, and Indirect Measure
Similar and Congruent Figures. What are similar polygons? Two polygons are similar if corresponding (matching) angles are congruent and the lengths of.
SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.
Warm Up Monday March What is the definition of a parallelogram? 2. What do we need to prove if we are trying to prove a parallelogram?
Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.
6.3.1 Use similar Polygons Chapter 6: Similarity.
Sec. 6–2 Similar Polygons. Figures that are similar (~) have the same shape but not necessarily the same size. Angles are congruent, Sides are proportional.
Applications of Proportions
Applications of Proportions
Similar figures are figures that have the same shape but not necessarily the same size. The symbol ~ means “is similar to.” 1.
Apply Properties of Similar Polygons
Applications of Proportions
Applications of Proportions
Warm Up Identify each number as rational, irrational or not real and explain why ) …… 6) -16 7) 6/0 8) 0/4.
Similar Polygons & Scale Factor
Chapter 2 Similarity and Dilations
Similar Figures TeacherTwins©2015.
Similar Polygons.
Applications of Proportions
Similar Polygons & Scale Factor
Similar Polygons & Scale Factor
. . . to use proportions to solve problems involving similar figures.
Similar Polygons & Scale Factor
Warm Up 1. If ∆QRS  ∆ZYX, identify the pairs of congruent angles and the pairs of congruent sides. Solve each proportion Q  Z; R 
Applications of Proportions
Applications of Proportions
Applications of Proportions
Similar Figures Use a proportion to compare similar sides to solve for an unknown length. If each pair of figures is similar, find the length of x
Applications of Proportions
Similar Figures   To find an unknown side length in similar figures:
Similar Polygons & Scale Factor
Chapter 10 Similarity.
Similar Figures.
Applications of Proportions
Applications of Proportions
Main Idea and New Vocabulary Key Concept: Similar Figures
Applications of Proportions
Applications of Proportions
Similar Figures The Big and Small of it.
Applications of Proportions
Applications of Proportions
2.5 Similar Figures Essential Question: How can you determine if two figures are similar or not? Trapezoids ABCD and EFGH are congruent. Congruent: (same.
Similar Polygons & Scale Factor
Similar Polygons & Scale Factor
Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.
Presentation transcript:

Jeopardy $100 Similar? Missing SideScale Factor Vocabulary Word Problems $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 Final Jeopardy Final Jeopardy

1 - $100 Are they similar? Why or why not? Are they similar? Why or why not? No. They are not the same shape. No. They are not the same shape.

1 - $200 Are they similar? Why or why not? Are they similar? Why or why not? Yes. Corresponding angles are congruent and corresponding sides are proportional. Yes. Corresponding angles are congruent and corresponding sides are proportional.

1 - $300 Are they similar? Why or why not? Are they similar? Why or why not? Yes. Angles are congruent and corresponding sides are proportional. Yes. Angles are congruent and corresponding sides are proportional.

1 - $400 Are they similar? Why or why not? Are they similar? Why or why not? No. Corresponding angles are not congruent. No. Corresponding angles are not congruent.

1 - $500 Are they similar? Why or why not? Are they similar? Why or why not? No. Corresponding angles are congruent, but corresponding sides are not proportional. No. Corresponding angles are congruent, but corresponding sides are not proportional.

2 - $100 Solve for side NP. Solve for side NP. 32 m 32 m

2 - $200 Solve for side DF. Solve for side DF. 5 m 5 m

2 - $300 Solve for side EF. Solve for side EF. 2.5 km 2.5 km

2 - $400 Find the missing side. Find the missing side

2 - $500 Find the missing side. Find the missing side

3 - $100 What’s the scale factor from Rectangle A to Rectangle B? What’s the scale factor from Rectangle A to Rectangle B? 3

3 - $200 What’s the scale factor from Triangle TCA to Triangle DOG? What’s the scale factor from Triangle TCA to Triangle DOG? 1/4 1/4

3 - $300 What’s the scale factor from the first figure to the second? What’s the scale factor from the first figure to the second? 1/5 1/5

3 - $400 What’s the scale factor from Triangle XYZ to Triangle ABC?? What’s the scale factor from Triangle XYZ to Triangle ABC?? 1/3 1/3

3 - $500 What’s the scale factor? From Rectangle ABCD with a perimeter of 48 to similar Rectangle EFGH with a perimeter of 288. What’s the scale factor? From Rectangle ABCD with a perimeter of 48 to similar Rectangle EFGH with a perimeter of

4 - $100 Two ratios that are equivalent Two ratios that are equivalent Proportion Proportion

4 - $200 If two figures are similar, their angles are ____________________. If two figures are similar, their angles are ____________________. congruent congruent

4 - $300 If two figures are similar, their sides are ____________________. If two figures are similar, their sides are ____________________. proportional proportional

4 - $400 The ratio of any 2 corresponding lengths in 2 similar geometric figures; the number that you multiply or divide by to find the missing side of similar figures. The ratio of any 2 corresponding lengths in 2 similar geometric figures; the number that you multiply or divide by to find the missing side of similar figures. Scale Factor Scale Factor

4 - $500 A transformation when a polygon is enlarged or reduced by a given factor A transformation when a polygon is enlarged or reduced by a given factor Dilation Dilation

5 - $100 A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? 3 feet 3 feet

5 - $200 A particular motorcycle is 9 ft long. A A particular motorcycle is 9 ft long. A model of it was built with a scale of 5 in : 3 ft. How long is the model? 15 in. 15 in.

5 - $300 Rivertown and Marion are 174 km from Rivertown and Marion are 174 km from each other. How far apart would the cities be on a map that has a scale of 1 cm : 12 km? 14.5 cm 14.5 cm

5 - $400 If a 3 ft tall car casts a 5 ft long shadow then If a 3 ft tall car casts a 5 ft long shadow then how tall is a baby elephant that casts a shadow that is ft long? 7.05 ft. tall 7.05 ft. tall

5 - $500 Triangles CDE and NOP are similar. The perimeter of smaller triangle CDE is 133. The lengths of two corresponding sides on the triangles are 53 and 212. What is the perimeter of NOP?

Final Jeopardy If Rectangle ABCD has a perimeter of 96 cm and similar rectangle WXYZ has a perimeter of 672 cm and side length AB is 28 cm and BC is 20 cm, what are the length and width of Rectangle WXYZ? If Rectangle ABCD has a perimeter of 96 cm and similar rectangle WXYZ has a perimeter of 672 cm and side length AB is 28 cm and BC is 20 cm, what are the length and width of Rectangle WXYZ? 140 cm and 196 cm 140 cm and 196 cm