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NeTakaya
5 days ago
8

Which pair of triangles can be proven congruent by SAS?

Mathematics
2 answers:
lawyer [4K]5 days ago
6 0

Answer: The initial two triangles can be confirmed as congruent via the SAS criterion.

Step-by-step explanation:

The SAS postulate states that if two sides and the angle they enclose in one triangle are equal to two sides and the angle of another triangle, then those triangles are congruent.

The first pair meets this criterion as the included angle matches the two sides and the angle from the second triangle, which leads to their congruence by SAS.

In the next illustration, the two triangles are congruent according to the ASA postulate, not SAS.

In the third diagram, there is no congruence between the triangles through any postulate or theorem [due to the absence of SSA].

The last diagram displays congruence under the SSS postulate, not SAS.

Leona [4.1K]5 days ago
5 0
Hello!
SAS stands for Side Angle Side
You need two sides and the angle should be placed between them.
The first triangle works because the angle lies between the two sides
The second triangle fails since it contains two angles while only one is needed
The third triangle doesn't qualify because the angle isn't situated between both sides.
The fourth triangle is invalid as it only has sides without angles.
Thus, only the first triangle satisfies the criteria!
I hope this helps!
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