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Published byArline Parker Modified over 9 years ago
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2.1:CONGRUENT FIGURES Chapter 2: Transformations
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WHAT IS CONGRUENT? Figures that have the same size and same shape. They have: Corresponding angles Corresponding sides
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NAMING CORRESPONDING PARTS AnglesSides <A and <W <B and <X <C and <Y <D and <Z AB and WX BC and XY CD and YZ Ad and WZ The figures are congruent. Identify corresponding angles and corresponding sides.
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TRY THIS ON YOUR OWN The figures are congruent: Name the corresponding angles. Name the corresponding sides. AnglesSides <J and <S <K and <R <L and <Q <M and <V <N and <T JK and SR KL and RQ LM and QV MN and VT NJ and TS
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IDENTIFYING CONGRUENT FIGURES Each square has 4 right angles, so the corresponding angles are congruent. The side lengths of the square vary: Square A and C both have side lengths of 8, but Square B has lengths of 9. Because Square A and C have the same lengths, they are congruent. Which square is congruent to Square A?
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USING CONGRUENT FIGURES Side JM corresponds to side AD. The length of JM is 10 feet. The perimeter of ABCD is 10+8+6+8=32 feet. The trapezoids are congruent. Perimeter of JKLM is also 32 feet. What is the length of JM? What is the perimeter of JKLM?
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