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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Proving Triangles Congruent-SSS, SAS

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Exercise 35 Page 361

Mark the given congruences on the diagram.

F

Practice makes perfect

Let's use colors to indicate corresponding vertices in the target congruence. △ A B C≅△ X Y Z We will use these colors on the diagram and mark the given congruences. Notice that we are given a pair of congruent angles and a pair of congruent sides.

To be able to use the Side-Angle-Side (SAS) Cogruence Postulate, we need the congruence of one more side pair.

In triangle △ A B C this needs to be side B C, because angle ∠ C is the included angle between sides A C and B C.
In triangle △ X Y Z this needs to be side Y Z, because angle ∠ Z is the included angle between sides X Z and Y Z.

Hence, the congruence we need is the following. B C≅Y Z This is choice F.

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Exercises p.357-361