

Congruence and Similarity 3
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
Anna Trang
Used 24+ times
FREE Resource
11 Slides • 5 Questions
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Congruence and Similarity 3

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Learning Goal
To be able to apply scale factors to calculate unknown sides in similar figures
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Similar Figures
Similar figures have the same shape, but not necessarily the same size.
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Examples of similar shapes
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Similar figures must have:
1. Corresponding sides are proportional (have a constant ratio, called the scale factor)
In the diagram: from the smaller triangle to larger triangle, the scale factor is 3
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Similar figures must have:
2. Corresponding angles are equal.
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Similar shapes must have:
Corresponding sides are proportional
Corresponding angles are equal
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It is possible to transform a figure by increasing or decreasing the original figure. The resulting figure is known as the image.
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Multiple Choice
Are the two shapes in the diagram similar?
Yes
No
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Multiple Choice
Are the two shapes in the diagram similar
?
Yes
No
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Multiple Choice
Are the pair of shapes in the diagram similar?
Yes
No
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In the following diagram,
triangle ABC is similar to triangle DEF (ΔABC ~ ΔDEF)
since ∠ABC = ∠DEF,
∠BAC = ∠EDF and
∠ACB = ∠DFE
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Calculating scale factor
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