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Similarity in Shapes

In this lesson, students will learn about the properties of congruent and similar figures, focusing on understanding what it means for two shapes to be similar. They will recognize that similar figures have the same shape but different sizes, characterized by corresponding angles being congruent and sides having a common ratio. Students will explore scale factors and apply these concepts to solve problems, ultimately reinforcing their ability to logically justify results. The lesson will conclude with an assignment to solidify their understanding of similarity in geometry.

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Similarity in Shapes

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  1. Similarity in Shapes 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results.

  2. Guiding Question: What does it mean for 2 things to be similar? • Lesson Objective: IWBAT to recognize similar figures. • Similarity: 1. Corresponding Angles are congruent 2. Corresponding sides have a common ratio.

  3. Guiding Question: What does it mean for 2 things to be similar? Similarity = same shape but different sizes Similar Rectangles have a common ratio between sides • The common ratio between the top rectangle and the bottom rectangle would be 2 because • The scale factor would then be ½ .

  4. Guiding Question: What does it mean for 2 things to be similar? • Scale Factor- the number you multiply sides by to get from one shape to the other. • What would the scale factor here be?

  5. Guiding Question: What does it mean for 2 things to be similar? • Every equilateral triangle is similar to every other equilateral triangle. • You are guaranteed to have a common ratio and corresponding angles are congruent.

  6. Guiding Question: What does it mean for 2 things to be similar? Are both the rectangle and the pentagon similar?

  7. Guiding Question: What does it mean for 2 things to be similar?

  8. Guiding Question: What does it mean for 2 things to be similar? • Assignment: Similarity Packet (Skip geometric mean question)

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