Similar Figures

Author:Whittany Nicholas

Topic:Angles, Dilation, Geometry, Line Segment, Similar Triangles, Similarity Transformation or Similarity

Angles

What do you notice about the angles?

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What angle corresponds with angle A?

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What angle corresponds with angle B?

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What angle corresponds with angle G?

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Sides

What is the shortest side on triangle ABC?

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What is the shortest side on triangle EFG?

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Because and are the shortest sides on each figure, they are corresponding sides. What side corresponds with and why?

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A
; Both side lengths are the middle length of each triangle.
B
: The middle side length, , corresponds with the longest side length on the other figure, .

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What side corresponds with and why?

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A
; Both sides are on the left side of the triangle and sitting in the same spot.
B
: They are both the longest side lengths on each triangle.

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What do you notice about the relationship between the corresponding sides of the triangles?

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Which is the correct extended proportion for the side lengths in the triangle?

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Scale

The side lengths show a proportional relationship. This ratio of the corresponding sides is the scale factor.

Is this true for all cases?

Move the points around for triangle ABC. The angles and side lengths should change. What do you notice? Do they maintain the same relationships? For each different triangle that you make, you should have corresponding angles that have the same measure, and each set of corresponding sides should be the same simplified fraction or decimal.