9-7:congruent and similar figures congruent figures similar figures
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9-7:Congruent and Similar Figures
Congruent Figures
Similar Figures
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Congruent Figures
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1. Which of these figures are congruent to the yellow one?
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AnswersHints
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Congruent figures are all shown in yellow – were you right?
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What makes a pair of figures “congruent”?
Congruent figures have the same size and shape.
They have corresponding sides that are congruent.
Can be rotated or a mirror image
A cut-out of one shape will always fit exactly over the other
Click the green box if you want to go back to the first “congruent shapes” question page.
Question page
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2. Which of these figures are congruent to the yellow one?
Answers
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9
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Congruent figures are all shown in yellow – were you right?
Start page
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Similar Figures
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Which of these figures are similar to the yellow one?
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AnswersHints
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Similar figures are all shown in yellow – were you right?
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What makes a pair of figures “similar”?
Similar figures have the same shape but not necessarily the same size.Same corresponding anglesThey have corresponding sides that are proportional.Can be rotated or reflected
Question page
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Using similarity
9cm 12cm
6cm
8
Since figures are similar, their sides are in the same proportion
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=> 9 = 3 12 4
=> 6 = 3 8 4
Equal Proportions - SimilarNot Equal Proportion – NOT Similar
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Which of these figures are similar to the yellow one?
(They aren’t drawn to scale)
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Similar figures are shown in yellow – were you right?
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Practice Time!P505 # 1-6