Congruent

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Congruent Similar
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What are we going to learn today?

• How to identify congruent figures.
• How to identify similar figures.

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Congruent

• Congruent means to have the same size and same
  shape.
• If two figures are congruent they are identical.

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Congruent

• You will be able to lay the figures on top of
  each other and they should match perfectly.
• The two triangles are congruent.
• They have the same size and shape.

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Real-Life Congruence

• You walk into the mall and see dozens of copies
  of your favorite CD on sale. All of the CDs are
  exactly the same size and shape.The CDs are
  congruent. In fact, you can probably think of
  many objects that are mass produced to be exactly
  the same size and shape.

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Congruent Figures

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

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Congruent Line Segments

• Two line segments are congruent if they have the
  same length.
• Which line segments are congruent?

L
K
M
N
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Congruent Angles

• Two angles are congruent if they have the same
  measure.
• Look at the parallelogram below.
• Which angles are congruent?

X
W
Y
Z
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Similar Figures

• Similar Figures have the same shape but do not
  have the same size.

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Similar Figures

• Triangles 1 and 3 are similar triangles.
• They are the same shape but not the same size.
• Triangles 2 is not similar because it is not the
  same shape.

3
1
2
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Corresponding Parts

• Corresponding Parts matching parts of congruent
  or similar figures

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Corresponding Parts
Triangle CAT is similar to triangle DOG. The
corresponding angles, such as C D are congruent.
C
D
A
T
O
G
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• Congruent figures are always similar.

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• Lets learn more about
• Congruent similar figures