# Similar Polygons Geometry 8 2 Similar Figures Same

- Slides: 42

Similar Polygons Geometry 8 -2

• Similar Figures – Same shape but not necessarily the same size Vocabulary

• Get your supplies - Patty Paper - Ruler - Handout Similarity Exploration

• Use Patty paper to compare all the angles • How do the corresponding angles compare? • They are congruent Similarity Exploration

• Measure the corresponding segments in each polygon – Use metric • Find the ratios of the corresponding sides • (Small Side)/(Large Side) Similarity Exploration

• What did you learn about the ratios of the sides? Similarity Exploration

• Two polygons are similar if and only if the corresponding angles are congruent and the corresponding sides are proportional • Similar polygons are shown as follows Similar Polygons

• Two polygons are similar if and only if the corresponding angles are congruent and the corresponding sides are proportional Note: For similar polygons you must have BOTH congruent angles and proportional sides Similar Polygons

Example

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Example

Practice

Practice

Practice

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Practice

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Practice

Similar Polygons

• Get your supplies - Patty Paper - Ruler - Graph Paper Similarity Exploration

• Copy this figure onto your own graph paper • Pick one of the following scale factors ½ , ¾ , 2, 3 Similarity Exploration

• Multiply the coordinate of each of the vertices by your scale factor Similarity Exploration

• Plot each of these new points • The scale factor is the dilation of your figure Similarity Exploration

• Compare the lengths of the sides • How do these ratios compare to the scale factor? Similarity Exploration

• If one polygon is a dilated image of another polygon, then the two polygons are similar Dilation Similarity

SAMPLE PROBLEMS

• Pages 425 – 428 • 7, 8, 9, 11, 15, 18, 21, 23, 27, 33 Homework

• Pages 425 – 428 • 7, 8, 9, 11, 15, 18, 21, 23, 27, 33, 52 Honors Homework

- Similar triangles and polygons
- Similar
- Similar shapes and proportions lesson 4-1
- Definition of similar polygons
- How to solve for x in similar polygons
- Similar figures are congruent
- Critical attributes of similar figures
- 11-4 areas of regular polygons answers
- Which figures are polygons
- A closed plane figure formed by three or more segments
- Area of regular polygons and composite figures
- Geometry area of regular polygons
- Geometry (polygons) jeopardy
- Is this called
- Geometry (polygons) jeopardy
- Polygon jeopardy
- If two polygons are similar the corresponding angles are
- Ratios in similar polygons
- If two polygons are similar the corresponding sides must be
- Similar polygons notes
- Similar polygons in real life
- If two polygons are similar then
- The polygons are similar find x
- Properties of similar polygons
- Using similar polygons
- Two figures are congruent if
- Quiz 6-1 ratios and similar figures
- Gihf meaning
- Ratios in similar polygons 7-1
- 7-2 homework similar polygons
- Practice 8-2 similar polygons
- Real life example of similarity
- In similar figures, ___ sides are proportional.
- Similar polygons example
- 6-2 similar polygons answers
- 7-2 similar polygons
- Same place same passion
- Cis trans vs e z
- Same place same time
- Solid and plane figures
- Flat shape with eight sides
- Example of solid figures
- Geometry lesson 4-1 congruent figures answers