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Published byJuliet Roberta Underwood Modified over 6 years ago

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Section 4.2 Congruence and Triangles

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Two figures are congruent if they have exactly the same size and shape.

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Congruent Triangles Triangles that have Corresponding angles congruent and corresponding sides congruent

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Same position Corresponding Sides

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Corresponding Angles Same position

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Third Angle Theorem If two angles of one triangle are to two angles of a second triangle, then the third pair of angles have to be congruent.

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A B C D E F Ex 1: Write a congruence statement for the triangles. List all congruent sides and angles

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Ex 2: Solve for x and y. G L M E P F H N 72 o 87 o 110 o 8m 10m (2x – 3)m (7y+9) o

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Ex 3: Solve for x. T L M S R N 65 o 55 o (2x +30) o

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Ex 4: Are these two triangles congruent? Explain. P Q M N R 92 o Sides: Angles: (given) (vertical angles) (3 rd angles thm) Yes, they are congruent because all sides and angles are congruent

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Guided Practice p. 205 #1-9 Find a partner for Think, pair, share!!!

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