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Choose the image that has the correct markings for the congruent statement

Choose the image that has the correct markings for the congruent statement-example-1

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We have the congruence statement for these two triangles as:


\Delta UTS\cong\Delta MKS

This nomenclature gives us the corresponding sides and angles:

• The pair of corresponding angles are: U with M, T with K and S with S.

,

• The pair of corresponding sides are: UT with MK, TS with KS and SU with SM.

Knowing this, the marks have to be the same for each element of the corresponding pair.

Option A: we can see that TS and KS should have the same mark but they don't. TS has a two tick mark and KS has three.

Option B: UT and MK have different marks.

Option C: UT and MK have different marks.

Option D: all 6 pairs of angles and sides have the same marks for each corresponding pair, so it has the correct markings.

Answer: Option D

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