Similarity and Congruence Visual Identification Irma Crespo 2010.
Objective:Objective: Students will determine congruence and similarity (9-6).
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Objective: Objective: Students will determine Students will determine congruence and similarity congruence and similarity (9-6). (9-6).
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Transcript of Objective:Objective: Students will determine congruence and similarity (9-6).
Objective:Objective:Objective:Objective:
Students will determine Students will determine congruence and similarity (9-6).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 ~
ExamplesTell whether each quadrilateral is
congruent or similar to the quadrilateral shown.
A.
ExamplesTell 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
PM
47cm 25cm
48cm
S
R T
Examples
MNP is congruent to RST.A. What side of RST corresponds to side
MN? Side RSB. What is the perimeter of RST? P( MNP) = 25 + 48 + 47P( MNP) = 120Since MNP and RST are congruent,
they have the same perimeter.
N
PM
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.
neither congruent
Guided PracticeQuadrilateral ABCD is
congruent to quadrilateral EFGH.
A. What is the measure of the side AD?
B. What side corresponds to side BC?
A B
D C
E F
GH
2m
4m
Guided PracticeQuadrilateral ABCD is
congruent to quadrilateral EFGH.
A. What is the measure of the side AD? 4m
B. What side corresponds to side BC? FG
A B
D C
E F
GH
2m
4m
