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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? 2 5 4 3 1 7 6 8 AnswersHints Start page
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Congruent figures are all shown in yellow – were you right? 5 4 3 1 7 6 8 Start page 2
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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 Start page
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2. Which of these figures are congruent to the yellow one? Answers Start page 2 5 1 3 4 6 7 8 9
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Congruent figures are all shown in yellow – were you right? Start page 2 5 1 3 4 6 7 8 9
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Similar Figures
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Which of these figures are similar to the yellow one? 2 5 4 3 1 7 6 8 AnswersHints Start page
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Similar figures are all shown in yellow – were you right? 2 5 4 3 1 7 6 8 Start page
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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 angles They have corresponding sides that are proportional. Can be rotated or reflected Question page Start page
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Using similarity 9cm 12cm 6cm 8 Since figures are similar, their sides are in the same proportion Start page => 9 = 3 12 4 => 6 = 3 8 4 Equal Proportions - Similar Not Equal Proportion – NOT Similar
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Which of these figures are similar to the yellow one? (They aren’t drawn to scale) 4 3 2 1 5 6 Answers Start page 6 9 6 9 4 6 4.5 3 12 18 9 12 4 8
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Similar figures are shown in yellow – were you right? Start page 9 6 5 6 9 6 4.5 3 3 12 18 1 9 12 4 6 4 2 4 8
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Practice Time! P505 # 1-6
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