Correspondence and Congruence 4-2A

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Correspondence and Congruence 4-2A

• What is a correspondence?
• What are congruent triangles?

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Consider page 256

• Congruent figures can be slid, flipped and turned
  until they overlap exactly.

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The Right Match

• Look at the two triangles below the Consider,
  page 256. Use a protractor and ruler to list all
  of the angles and segments that are congruent.
• Identify the vertices of the two triangles that
  match up with one another.
• ?ABC ?___. What does the order of the letters
  tell you about the congruent parts of the
  triangle?

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Try It

• Write a congruence statement for the triangles
  shown on page 257.

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Definitions

• A correspondence between two geometric figures is
  any way of pairing up their vertices.
• A congruence correspondence matches the vertices
  so that all pairs of corresponding parts are
  congruent.

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Corresponds to

• The corresponds to symbol is
• The order of the letters in the
  correspondence statement specifies the
  corresponding sides and corresponding angles.

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Corresponding sides and angles
C
T
A
B
S
R

• Corresponding Angles

Corresponding sides
AB RS
BC ST
AC RT
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Definition

• Two triangles are congruent triangles if and only
  if all of their corresponding parts are congruent.

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• What is a correspondence?
• A way of pairing the vertices and /or sides of a
  geometric figure.
• What are congruent triangles?
• Two triangles whose vertices match and whose
  sides match.

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Assignment 4-2A

• Page 258, 1-16, 31-34