Objective:Objective: Students will determine congruence and similarity (9-6).

Vocabulary Similar figures – figures that have the same shape but different sizes. represented by the symbol ~ Congruent figures – figures that are the same size and shape. Represented by the symbol ~

Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. A.

Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. A. The quadrilaterals are the same size and shape. They are congruent.

Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. B.

Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. B. The quadrilaterals have the same shape and angles, but not the same size. They are similar.

Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. C.

Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. C. The quadrilaterals are not the same shape and size. They are neither similar nor congruent.

Examples MNP is congruent to RST. A. What side of RST corresponds to side MN? B. What is the perimeter of RST? N P M 47cm 25cm 48cm S R T

Examples MNP is congruent to RST. A. What side of RST corresponds to side MN? Side RS B. What is the perimeter of RST? P( MNP) = P( MNP) = 120 Since MNP and RST are congruent, they have the same perimeter. N P M 47cm 25cm 48cm S R T

Guided Practice Tell whether each pair of polygons are similar, congruent, or neither.

Guided Practice Tell whether each pair of polygons are similar, congruent, or neither. neithercongruent

Guided Practice Quadrilateral ABCD is congruent to quadrilateral EFGH. A. What is the measure of the side AD? B. What side corresponds to side BC? AB DC E F G H 2m 4m

Guided Practice Quadrilateral ABCD is congruent to quadrilateral EFGH. A. What is the measure of the side AD? 4m B. What side corresponds to side BC? FG AB DC E F G H 2m 4m