Section 4.2 Congruence and Triangles. Two figures are congruent if they have exactly the same size and shape.

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Presentation transcript:

Section 4.2 Congruence and Triangles

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

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

Same position Corresponding Sides

Corresponding Angles Same position

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.

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

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

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

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

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