Triangle congruence: SAS

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Triangle congruence SAS

• Sides and angles of polygons have special
  relationships.
• The angle formed by 2 adjacent sides of a polygon
  is called an Included angle.
• The common side of 2 consecutive angles of a
  polygon is called an included side

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SAS triangle congruence postulate

• If 2 sides and the included angle of 1 triangle
  are congruent to 2 sides and the included angle
  of another triangle, then the triangle are
  congruent by side-angle-side congruence

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• In the SAS Postulate, the included angle is the
  angle formed by the 2 congruent sides. The A is
  between the 2 S's, showing that the angle is
  between the 2 sides.

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• Is the pair of triangles congruent by SAS
  postulate?

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• The 2 triangles are not congruent because the
  angle in the 2nd triangle was not the included
  angle

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• Find the value of x that makes the triangles
  congruent

4x7
6x-27
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• LAB 5- Congruent triangles
• 1. sketch a triangle and label it ABC
• 2.Construct DE congruent to AB
• 3.ConstructltDEF congruent to ltABC
• 4.Place F on ray EF so that Ef is congruent to BC
• 5.Connect F and D

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• You constructed DE congruent to AB
• You constructed ltDEF congruent to ltABC
• You constructed EF congruent to BC
• By the SAS postulate, triangle DEF is congruent
  to triangle ABC

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