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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.
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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.
N S Examples 25cm 47cm P T 48cm R M MNP is congruent to RST. A. What side of RST corresponds to side MN? B. What is the perimeter of RST?
N S Examples 25cm 47cm P T 48cm R M 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) = 25 + 48 + 47 P( MNP) = 120 Since MNP and RST are congruent, they have the same perimeter.
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. neither congruent
Guided Practice A B Quadrilateral ABCD is congruent to quadrilateral EFGH. A. What is the measure of the side AD? B. What side corresponds to side BC? D C 2m E F 4m H G
Guided Practice A B 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 D C 2m E F 4m H G