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4-4 Proving Triangles Congruent (SSS, SAS) Ms. Andrejko.

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Presentation on theme: "4-4 Proving Triangles Congruent (SSS, SAS) Ms. Andrejko."— Presentation transcript:

1 4-4 Proving Triangles Congruent (SSS, SAS) Ms. Andrejko

2 Real World

3 Vocabulary Included Angle- the angle formed by 2 adjacent sides of a polygon

4 Postulates/Theorems P 4.1: If 3 sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent. P 4.2: If 2 sides of the included angle of one triangle are congruent to 2 sides and the included angle of a second triangle, then the triangles are congruent

5 Examples Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, write not possible.

6 Practice Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, write not possible.

7 Examples Determine whether ΔDEF ≅ ΔPQR given the coordinates of the vertices. D(-6, 1), E(1, 2), F(-1, -4), P(0, 5), Q(7, 6), R(5, 0)

8 Practice Determine whether ΔDEF ≅ ΔPQR given the coordinates of the vertices. D(-7, -3), E(-4, -1), F(-2, -5), P(2, -2), Q(5, -4), R(0, -5)

9 Practice Determine whether ΔABC ≅ ΔKLM given the coordinates of the vertices. A (-3,3), B(-1, 3), C(-3, 1), K(1,4), L(3,4), M(1,6)

10 Example

11 Practice <BAD  <CDA

12 Practice


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