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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. The figures are congruent. Identify corresponding angles and corresponding sides.
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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 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.
IDENTIFYING CONGRUENT FIGURES Which square is congruent to Square A? • 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.
USING CONGRUENT FIGURES What is the length of JM? What is the perimeter of JKLM? • 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.