Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1-4. Quiz
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Exercise 6 Page 616

SAS Congruence Theorem means that two sides and the included angle of two triangles are congruent.

Not enough information.
Explanation: See solution.

Practice makes perfect
According to the SAS Congruence Theorem, if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent

What do we know about our triangles?

From the diagram, we see that the triangles share a side, CD. Therefore, by the Reflexive Property of Congruence, we know this side is congruent. Let's add this information to our diagram.

Can we use SAS?

As we can see, two sides and an angle in △ CAD are congruent to two sides and an angle in △ CBD. However, the angle isn't the included one which means we cannot prove congruence by the SAS Congruence Theorem.