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Suppose side TM≅side GL and ∠M ≅ ∠G. What additional information is needed to prove triangle MTD≅GLS by SAS?

side MD≅side SG
∠T≅∠L
side TD≅side SL
∠T≅∠S

Suppose side TMside GL and M G What additional information is needed to prove triangle MTDGLS by SAS side MDside SG TL side TDside SL TS class=

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SenpaiTrill
Hello there.

Suppose side TM≅side GL and ∠M ≅ ∠G. What additional information is needed to prove triangle MTD≅GLS by SAS?

side MD≅side SG

Answer:

Option (1) is correct.

For  MTD ≅ GLS by SAS similarity criterion,  side  MD ≅ side SG in additional to given information.

Step-by-step explanation:

Given two triangles, ΔMTD and ΔGLS,

Also, given

side TM ≅ side GL

and ∠M ≅ ∠G

We need to prove that MTD ≅ GLS by SAS similarity criterion.

SAS similarity criterion states when two sides and angle between those two sides are equal then both the triangles are similar to each other.

Thus, for the given two triangles to be similar,

Since ∠M  lies in between sides TM and DM and ∠G  lies in between sides SG and GL .

So , for one more pair of equal sides, we will consider side  MD ≅ side SG

Thus, for  MTD ≅ GLS by SAS similarity criterion.  side  MD ≅ side SG in additional to given information.

Option (1) is correct.



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