State what additional information is required in order to know that the triangles are congruent for the reason given. If possibl

Question

n200080 [17]

3 years ago

9

State what additional information is required in order to know that the triangles are congruent for the reason given. If possibl

e, write the triangle congruence statement.
refer to attachment
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Mathematics

2 answers:

earnstyle [38] · Answer 1 · 2022-10-28T22:01:09+03:00

earnstyle [38]3 years ago

8 0

Answer:

XY ≅ TU

Step-by-step explanation:

SAS = side- angle- side

It requires two sides and the included angle be congruent.

Given one congruent side and one congruent adjacent angle.

In addition to what is given we need the other side be congruent too:

XY ≅ TU

Slav-nsk [51] · Answer 2 · 2022-10-29T00:06:24+03:00

XY=UT this information is required. As we can know that to prove two triangles congruent we need three pieces of information. Here only 2 pieces of information are available i.e one angle and one side. These triangles can be proven by S-A-S (Side-angle-side) theorem.