2.1:CONGRUENT FIGURES Chapter 2: Transformations.

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Presentation transcript:

2.1:CONGRUENT FIGURES Chapter 2: Transformations

WHAT IS CONGRUENT? Figures that have the same size and same shape. They have: Corresponding angles Corresponding sides

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.

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

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?

USING CONGRUENT FIGURES Side JM corresponds to side AD. The length of JM is 10 feet. The perimeter of ABCD is =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?