Learning Targets I can identify similar polygons. I can write similarity statements. I can find missing parts of similar figure.

Slides:



Advertisements
Similar presentations
Concept: Use Similar Polygons
Advertisements

Honors Geometry Section 8.2 B Similar Polygons
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.
Section 8.3 Similar Polygons
7-4A Similar Figures and Proportions Learning Objective: To determine whether two given figures are similar, and to use similarity to find missing lengths.
6.4 Similar and Congruent Figures Similar Figures - t wo figures that have the same shape but not necessarily the same size We use this symbol to show.
7.2 Similar polygons Today’s Vocabulary
Target: Use proportions to solve problems involving similar figures.
7-2 Similar Polygons.
Class Opener: If you have a vision problem, a magnification system can help you read. You choose a level of magnification. Then you place an image under.
7.2 Similar Polygons Similar figures – have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~ . Two.
7-2 Similar Polygons. Similar Figures: have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~
9.2 Similar Polygons.
Using proportions for dimensional analysis and problem solving
7-2 Similar Polygons Objective To identify and apply similar polygons.
Geometry 6.3 Big Idea: Use Similar Polygons
7.2 Similar Polygons. Similar Polygons In geometry, two figures that have the same shape are called similar. Two polygons are similar polygons if corresponding.
8.2: Similar Polygons Objective: To identify and apply similar polygons.
Similar Figures Notes. Solving Proportions Review  Before we can discuss Similar Figures we need to review how to solve proportions…. Any ideas?
Lesson 5-2: Similar Polygons
Objectives To identify similar polygons. To apply similar polygons.
2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”
Geometry Section 8.3 Similar Polygons. In very simple terms, two polygons are similar iff they have exactly the same shape.
SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.
1 10/16/12 Triangles Unit Similar Polygons. 2 Definition:Two polygons are similar if: 1. Corresponding angles are congruent. 2. Corresponding sides are.
Ms. Drake 7th grade Math Fractions Lesson 44 Similar Figures and Proportions.
Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.
7-2 Similar Polygons Objectives Students will be able to:
Warm-Up If ∆QRS  ∆ZYX, identify all 3 pairs of congruent angles and all 3 pairs of congruent sides.
Unit 1 Transformations Day 5.  Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons.
 Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.
TODAY IN GEOMETRY…  WARM UP: SRF and Rationalizing the Denominator  Learning Target: 6.3 Use properties of similar polygons to solve proportions.  Independent.
6.3.1 Use similar Polygons Chapter 6: Similarity.
Similar Polygons NOTES 8.1 Goals 1)Use Similarity Statements 2)Find corresponding lengths in similar polygons 3)Find perimeters & areas of similar polygons.
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.
6.2 Similar Polygons What you’ll learn: To identify similar figures.
SIMILAR POLYGONS Lesson 3 – 2 MATH III. 1:18 Model Original car.
Ratios in similar polygons
Objective To identify and apply similar polygons
7.1 Proportions Solving proportions
Similar Polygons.
7-2 Similar Polygons.
Ratios in Similar Polygons
Date: Topic: Similar Polygons (7.4)
7-2 Similar Polygons.
Objectives: To identify similar polygons To apply similar polygons
6.3 Use Similar Polygons.
Chapter 2 Similarity and Dilations
Using Proportions with Similar Figures
Test study Guide/Breakdown
Use Similar Polygons & AA Postulate
Concept.
Math 4-5: Similar Polygons
~ Chapter 7 Section 3 Polygons are similar if: (Similar Polygons)
Chapter 10 Similarity.
Lesson 5-2: Similar Polygons
Section 7-3 Similar Polygons.
Lesson 5-2: Similar Polygons
Rates, Ratios and Proportions
Exercise Compare by using >,
Exploring Similar Polygons
7.2 Similar Polygons Two polygons are similar (~) if and only if their
Similar Figures The Big and Small of it.
Ratios, Proportions and Similarity
~ Chapter 7 Section 3 Polygons are similar if: (Similar Polygons)
Lesson 7-2 Similar Polygons.
Five-Minute Check (over Lesson 7–1) Mathematical Practices Then/Now
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.
Rates, Ratios and Proportions
Unit 4: Similarity Honors Geometry.
Presentation transcript:

Learning Targets I can identify similar polygons. I can write similarity statements. I can find missing parts of similar figure.

Vocabulary similar figures – have the same shape but not necessarily the same size scale factor – the ratio of corresponding linear measurements of two similar figures scale drawing – a drawing in which all lengths are proportional to corresponding actual lengths

Scale and Ratio Examples Real World Scale and Ratio Examples

http://www.youtube.com/watch?v=a0fJUPU5xys

Similar Polygons corresponding parts similarity statement

Example 1

Example 2 Find corresponding sides by locating congruent angles. EA = 12 = 2 ED = 12 = 2 AB = 18 = 2 DC = 18 = 2 ED = 12 = 2 ST 6 1 TU 6 1 RS 9 1 VU 9 1 TU 6 1 YES, The polygons are similar. ABCDE ~ SRVUT, the scale factor is 2:1.

Example 3

Example 4 12 x Begin by writing a ratio involving the variable. 20 10 Choose two corresponding parts that have values (numbers). Create a proportion and solve for the variable. 20 = 12 10 x 20x = 120 x = 6