Chapter 2 Similarity and Dilations

Slides:



Advertisements
Similar presentations
7-4A Similar Figures and Proportions Learning Objective: To determine whether two given figures are similar, and to use similarity to find missing lengths.
Advertisements

4.2 Using Similar Shapes How can you use similar shapes to find unknown measures?
I can use proportions to find missing measures in similar figures
Introduction Congruent triangles have corresponding parts with angle measures that are the same and side lengths that are the same. If two triangles are.
JRLeon Geometry Chapter 11.3 HGSH Lesson 11.3 (603) Suppose I wanted to determine the height of a flag pole, but I did not have the tools necessary. Even.
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. Triangle Similarity Angle-Angle Similarity Postulate: If two angles of one triangle are congruent to two angles of another.
LESSON 8.3: Similar Polygons
Similar Triangles/Polygons
Lesson: 9 – 3 Similar Triangles
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.
Math Similar Figures.
Angle angle similarity. 47° 58° 75° 58° 75° Are the following triangles similar? E D F B A C
Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.
Chapter 5: Trigonometric Functions Lesson 4: Finding Area of Triangles Mrs. Parziale.
Using Similar Figures 4-5. Vocabulary Indirect measurement- a method of using proportions to find an unknown length or distance in similar figures.
Chapter 7 Quiz Review Lessons
Question about homework? Any questions on the homework? (choose random problems)
Indirect Measurement Geometry Regular Program SY Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”
Drill Write your homework in your planner Take out your homework Find all angle measures:
SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.
Ms. Drake 7th grade Math Fractions Lesson 44 Similar Figures and Proportions.
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.
Unit 1 Transformations Day 5.  Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons.
Section Review Triangle Similarity. Similar Triangles Triangles are similar if (1) their corresponding (matching) angles are congruent (equal)
 2.5: Similar Figures. What is a Similar Figure?  Figures that have the same shape, but not necessarily the same size.  Two figures are similar when:
Groundhog Day A 16 inch tall groundhog emerges on Groundhog Day near a tree and sees its shadow. The length of the groundhog’s shadow is 5 inches, and.
Indirect Measurement. Indirect Measurement: Allows you to use properties of similar polygons to find distances or lengths that are difficult to measure.
7.4 Showing Triangles are Similar: SSS and SAS
Proving Triangles are Similar
Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS
Similarity Postulates
Take a warm-up from the ChromeBook, calculator, and compass
Introduction When a series of similarity transformations are performed on a triangle, the result is a similar triangle. When triangles are similar, the.
8-5 Indirect Measurement Warm Up Problem of the Day
Polygons Similar and Congruent
6.3 Use Similar Polygons.
Similar Triangles.
Similarity and Indirect Measurement
Math 4-7: Indirect Measurement
8-5 Indirect Measurement Warm Up Problem of the Day
Chapter 2 Similarity and Dilations
Similar Figures Chapter 5.
7-3 Similar Triangles.
7.3 Proving Triangles Similar
Introduction When a series of similarity transformations are performed on a triangle, the result is a similar triangle. When triangles are similar, the.
Proving Triangles Similar Related Topic
7-3 Proving Triangles Similar
Similar triangles.
Main Idea and New Vocabulary Example 1: Use Shadow Reckoning
Proving Triangles Similar.
Similar Figures   To find an unknown side length in similar figures:
Slope and Similar Triangles
6.3 AA Similarity Geometry.
Similar Figures.
Proving Triangles Similar.
Week 5 Warm Up Add theorem 2.1 here next year.
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)
Main Idea and New Vocabulary Key Concept: Similar Figures
Main Idea and New Vocabulary Key Concept: Similar Figures
Similar Figures The Big and Small of it.
Goal: The learner will us AA Similarity.
Similarity and Indirect Measurement
7-5 Indirect Measurement Warm Up Problem of the Day
7.3 Similar Triangles (~s)
Module 16: Lesson 4 AA Similarity of Triangles
Presentation transcript:

Chapter 2 Similarity and Dilations Lesson 2 Angle-angle similarity of triangles

Vocabulary Indirect measurement

Angle-Angle Similarity of Triangles

Example 1 – What do you notice?

Try This

Example 2 – What do you notice. What questions do you have Example 2 – What do you notice? What questions do you have? What do you need to know? How tall is the flagpole?

Try This How tall is the taller building?

Angle-Angle Similarity of Triangles I can determine similarity. I can use indirect measurement.

` What measures must be known in order to calculate the height of tall objects using shadow reckoning?

Angle-Angle Similarity of Triangles You can use Angle-Angle (AA) Similarity to test for triangle similarity. If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. When you use indirect measurement to find unknown lengths, you must first identify the corresponding sides of the similar triangles and then correctly substitute the known lengths into a proportion.