3 years ago

Hey can anybody help me with this question please

Mathematics

1 answer:

PIT_PIT [208]3 years ago

6 0

A. is 2 and so is B

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What theorem shows that TPN ≅ TQM?

melisa1 [442]

Note: Consider the side of first triangle is TQ instead of TA.

Given:

Triangles TQM and TPN which share vertex T.

$TQ\cong TP,TM\cong TN$

To find:

The theorem which shows that $\Delta TPN\cong TQM$ .

Solution:

In triangle TQM and TPN,

$TQ\cong TP$ [Given]

$\angle QTM\cong \angle PTN$ [Given]

$TM\cong TN$ [Given]

Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.

$\Delta TPN\cong TQM$ [SAS]

Therefore, the correct option is C.

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Answer:

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