B A C D E 9m 13m 50m river A new bridge is going to be built across a river, but the width of the river cannot be measured directly. Find the width of.

Slides:



Advertisements
Similar presentations
Honors Geometry Section 8. 5
Advertisements

Transparency 7 Click the mouse button or press the Space Bar to display the answers.
4.2 Using Similar Shapes How can you use similar shapes to find unknown measures?
Indirect measurement Problems
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.
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.
7-3 Proving Triangles Similar
3.4: Using Similar Triangles
Chapter 4 Ratios and Proportions.
Using Similar Figures to Solve Problems. There are a variety of problems that can be solved with similar triangles. To make things easier use or draw.
Vocabulary indirect measurement 1.
1-9 applications of proportions
Thales is known as the first Greek scientist, engineer, and mathematician. Legend says that he was the first to determine the height of the pyramids.
4-9 Using Similar Figures Indirect measurement is a method of using proportions to find an unknown length or distance of objects that are too difficult.
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.
Math Similar Figures.
Course: Applied Geo. Aim: Similar Triangles Aim: What is special about similar triangles? Do Now: In the diagram at right  PQR ~  STU. Name the pairs.
Similar Triangles. Similar triangles have the same shape, but not necessarily the same size. Two main tests for similarity: 1)If the angles of 1 triangle.
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.
Extension 3.6 Proportions and Similar Figures A.What do you know about similar triangles and congruent triangles? B.Definitions 1.Similar triangles – have.
Unit 7 Similarity. Part 1 Ratio / Proportion A ratio is a comparison of two quantities by division. – You can write a ratio of two numbers a and b, where.
Using Similar Figures 4-5. Vocabulary Indirect measurement- a method of using proportions to find an unknown length or distance in similar figures.
Lesson 9-7 Pages Similar Triangles and Indirect Measurement Lesson Check 9-6 Lesson Check 9-5.
Indirect Measurement Lesson 4-7.
Warm Up Evaluate each expression for a = 3, b = –2, c = 5.
8-5 Indirect Measurement Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.
Section 8-3 Similar Triangles GEOMETRY. ENTRY TASK – TWO LEVELS Medium/Difficult F.
I can use proportions to find missing lengths in similar figures.
Similar figures have the same shape but not necessarily the same size.
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 ?
7-3: Proving Triangles are Similar Rigor: 1) Prove 2 triangles are similar 2) Use similar triangles to solve indirect measurement problems Relevance :
Indirect Measurement. Warm-Up Solve each proportion X X X 4. X = = == X = 45 X = 20 X = 2 X = 4.
Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.
8.5 Proving Triangles are Similar. Side-Side-Side (SSS) Similarity Theorem If the lengths of the corresponding sides of two triangles are proportional,
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 =
Section Review Triangle Similarity. Similar Triangles Triangles are similar if (1) their corresponding (matching) angles are congruent (equal)
Geometry Review for Test Know your proportions Label Answers Show Work.
4.2 Using Similar Shapes How can you use similar shapes to find unknown measures?
Determine the missing side of the triangle ? 15.
Indirect Measurement. Indirect Measurement: Allows you to use properties of similar polygons to find distances or lengths that are difficult to measure.
Similarity Postulates
Introduction When a series of similarity transformations are performed on a triangle, the result is a similar triangle. When triangles are similar, the.
Section 6.4 AA Similarity Review Triangle Angle Sum Theorem
Similarity and Indirect Measurement
Similar Polygons & Scale Factor
Similar Figures Chapter 5.
Using Similar Figures to Find Missing Lengths
7-3 Similar Triangles.
Introduction When a series of similarity transformations are performed on a triangle, the result is a similar triangle. When triangles are similar, the.
Similarity, Congruence, & Proofs
Using Similar Figures to Find Missing Lengths
Lesson 6.5 Similarity and Measurement
Similar triangles.
Main Idea and New Vocabulary Example 1: Use Shadow Reckoning
Similar Figures.
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
Similar Figures   To find an unknown side length in similar figures:
6.3 AA Similarity Geometry.
Indirect Measurement 5-10
6.4 – Prove Triangles Similar by AA
Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)
Chapter 2 Similarity and Dilations
6.4 – Prove Triangles Similar by AA
Goal: The learner will us AA Similarity.
Similarity and Indirect Measurement
Similar Polygons & Scale Factor
7-5 Indirect Measurement Warm Up Problem of the Day
Presentation transcript:

B A C D E 9m 13m 50m river A new bridge is going to be built across a river, but the width of the river cannot be measured directly. Find the width of the river. The triangles are similar, so set up a proportion to determine AB, the width of the river.

Bob is standing beside a lighthouse on a sunny day, as shown. He measures the length of his shadow and the length of his shadow cast by the lighthouse. Bob is 1.6m tall. How tall is the lighthouse? Bob 1.6m 4.8 m 75.0 m Lighthouse

1.6m 4.8 m h 75.0 m The triangles are similar because 2 pairs of corresponding angles are equal.

Similar triangles can be used to determine lengths that cannot be measured directly This strategy is called indirect measurement