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19.07.2019 •
Mathematics
Which theorem proves that the triangles are congruent? a) asa b) sas c) ssa d) sss
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Ответ:
Looking at the image above, we are given that side BE is congruent to side ED while side AE is congruent to side EC. This can be written as follows:
BE = ED
AE = EC
In this case, ∠1 and ∠2 can be classified as vertical angles. Vertical angles are the two angles on opposite sides of two intersecting lines. These angles are always congruent to one another. Consequently, ∠1 and ∠2 must also be congruent to one another. This can be written as follows:
∠1 = ∠2
We have now proven the congruency of two sides and one angle. Because the angle lies between the two sides, this implies the use of SAS (side-angle-side).
Therfore, the correct answer is B.
I hope this helps!
Ответ: