Triangles T S R and Q R S overlap at point P. Angle S T R is 66 degrees and angle S Q R is 66 degrees. The lengths of T S and Q

Question

2 years ago

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Triangles T S R and Q R S overlap at point P. Angle S T R is 66 degrees and angle S Q R is 66 degrees. The lengths of T S and Q

R are both 5 inches.
Can ΔTSR and ΔQRS be proven congruent by SAS?
yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
yes, because a reflection will map ΔTSR onto ΔQRS
yes, because P appears to be the midpoint of SQ and TR
no, because not enough is information given to prove the triangles congruent by SAS

Mathematics

1 answer:

lesya692 [45] · Answer 1 · 2023-06-02T15:56:55+03:00

No, ΔTSR and ΔQRS cannot be proven congruent by SAS because not enough is information given to prove the triangles congruent by SAS.

<h3>What is Congruency?</h3>

Two figures or objects are congruent if they have the same shape and size.

To prove using SAS congruency we should have at least two congruent side and one congruent angle.

But we don't have the sufficient information.

Hence, ΔTSR and ΔQRS cannot be proven congruent by SAS.

Learn more about this concept here:

brainly.com/question/14806382

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