Math Similar Figures.

Slides:



Advertisements
Similar presentations
Transparency 7 Click the mouse button or press the Space Bar to display the answers.
Advertisements

Applications of Proportions
I can use proportions to find missing measures in similar figures
DO NOW ft 4ft On a Sunny Day, a person who is 6ft tall casts a 4ft shadow. This is proportional to the height of a nearby flagpole which casts.
3-5: Proportions and Similar Figures
SIMILAR FIGURES. Solve for x Similar Figures Similar figures have sides that are proportional. Scale Factor:
Similar figures have exactly the same shape but not necessarily the same ______________. Corresponding sides of two figures are in the same relative position,
EXAMPLE 3 Standardized Test Practice.
EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.
Today’s Lesson: What: similar Figures Why: To use proportions to solve problems involving similar figures. What: similar Figures Why: To use proportions.
Applications of Proportions
1-9 applications of proportions
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
PRE-ALGEBRA. Lesson 6-3 Warm-Up PRE-ALGEBRA What are “similar figures”? similar figures: figures that have the same exact shape but not the same size.
Problems of the Day 1) 2)Challenge: Two triangles are similar. The ratio of the lengths of the corresponding sides is If the length of one side of the.
Geometry 7-2 Solving Similar Δ’s Proportions can be used to find the missing lengths of similar figures. Ex) ΔCAB ~ ΔTRS. Find RT.
Extension 3.6 Proportions and Similar Figures A.What do you know about similar triangles and congruent triangles? B.Definitions 1.Similar triangles – have.
Using proportions for dimensional analysis and problem solving
Indirect Measurement Lesson 4-7.
Warm Up Evaluate each expression for a = 3, b = –2, c = 5.
Similar Triangles.
Similar Figures and Scale Drawings
2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”
Similar figures have the same shape but not necessarily the same size.
Similar Figures and Indirect Measurement 2 3 = f 21 Review: Solve each Proportion, Round to the Nearest Tenth Where Necessary. You may use your calculators.
5-5 Similar Figures Matching sides are called corresponding sides A B C D E F 1.) Which side is corresponding to ? 2.) Which side is corresponding to ?
Indirect Measurement. Warm-Up Solve each proportion X X X 4. X = = == X = 45 X = 20 X = 2 X = 4.
When a 6-ft student casts a 17-ft shadow, a flagpole casts a shadow that is 51 ft long. Find the height of the flagpole. Similarity and Indirect Measurement.
Indirect Measurement Unit 7.5 Pages Warm Up Problems Fill in the missing value 1. 6 = 18 t k = = 42 8 n t = 15 k = 5 n =
Do Now 2/4/13 Take out HW from last night. Text p. 291, #8-20 all Text p. 291, #8-20 all Copy HW in your planner. Text p. 295, #6-9 all, & 12 Text p. 295,
Do Now 2/23/10 Take out HW from last night. Text p. 291, #8-20 all Text p. 291, #8-20 all Copy HW in your planner. Text p. 295, #6-9 all, & 12 Text p.
Indirect Measurement. Indirect Measurement: Allows you to use properties of similar polygons to find distances or lengths that are difficult to measure.
Applications of Proportions
Applications of Proportions
2-8 Vocabulary Similar figures Scale drawing Scale Scale model.
Similarity and Indirect Measurement
Do now Homework: Lesson check 2-8 page 133
Applications of Proportions
Questions?  .
Applications of Proportions
Math 4-7: Indirect Measurement
Applications of Proportions
. . . to use proportions to solve problems involving similar figures.
Lesson 6.5 Similarity and Measurement
Similar triangles.
Main Idea and New Vocabulary Example 1: Use Shadow Reckoning
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:
Chapter 10 Similarity.
Indirect Measurement 5-10
Similar Figures and Scale
Bellringer a.) Sheryl bought 3 pieces of candy for $1.29. At that rate, what would 8 pieces of candy cost her? $3.44.
Applications of Proportions
Applications of Proportions
Chapter 2 Similarity and Dilations
Main Idea and New Vocabulary Key Concept: Similar Figures
Geometry Topics Name: __________________________
Applications of Proportions
Applications of Proportions
Main Idea and New Vocabulary Key Concept: Similar Figures
Similar Figures The Big and Small of it.
Applications of Proportions
Applications of Proportions
Similarity and Indirect Measurement
Presentation transcript:

Math Similar Figures

The symbol ~ means is similar to. Vocabulary Similar Figures—Figures that have the same shape, but not the same size. The symbol ~ means is similar to.

Similar Figures have two properties. The corresponding angles have equal measure. The lengths of corresponding sides are in proportion.

A method of determining length or distance without measuring directly. Vocabulary Indirect Measurement A method of determining length or distance without measuring directly.

Find the length of the side marked with the variable x.

Find the length of the side marked with the variable x.

Find the length of the side marked with the variable x and y.

Find the length of the side marked with the variable x and y.

Find the length of the side marked with the variable x.

Find the length of the side marked with the variable x.

Jen-Min wants to enlarge a 4-in. by 6-in Jen-Min wants to enlarge a 4-in. by 6-in. photo so that the longer side will be 14 in. How long will the shorter side be?

A tree casts a shadow 30 ft. long. If a man 6 ft A tree casts a shadow 30 ft. long. If a man 6 ft. tall casts a shadow 5 ft. long at the same time of day, how tall is the tree?

Solve each problem. A tree casts a shadow 10 ft. long. A 5-ft woman casts a shadow 4ft long. How tall is the tree? A building 70 ft high casts a 150-ft shadow. A nearby flagpole casts a 60-ft shadow. What is the height of the flagpole? A tree casts a shadow 8 ft long. A 6-ft man casts a shadow 4 ft long. How tall is the tree?

Assignment Homework E-12