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A large triangle is made up of 4 smaller triangles within the larger triangle. Vertical line T U cuts the large triangle in half. Lines U S and U V are diagonal from point U and go up to each side. Angle S U T is 45 degrees and angle T V U is 98 degrees. Line segment T V is 20 feet and line segment S U is 14 feet.
What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

UV = 14 ft and m∠TUV = 45°
TU = 26 ft
m∠STU = 37° and m∠VTU = 37°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
m∠UST = 98° and m ∠TUV = 45°



Answer :

Answer:

To prove that triangles and are congruent using the Side-Angle-Side (SAS) criterion, we need the following information:

=14ft and ∠=45∘: This gives us one side and one angle of each triangle. If we can find another corresponding side, we can use SAS to prove congruence.

=26ft: This gives us the length of one side of triangle . However, we also need a corresponding side of triangle to use the SAS criterion.

∠=37∘ and ∠=37∘: This gives us the measure of two angles of each triangle. However, we also need corresponding sides to use the SAS criterion.


=20ft, =14ft, and ∠=98∘: This gives us two sides and one angle of triangle . We need a corresponding side of triangle to use the SAS criterion.

∠=98∘and ∠=45∘: This gives us two angles of triangle . However, we also need corresponding sides to use the SAS criterion.

Based on the options provided, option 1 (=14ft and ∠=45∘) is the most relevant additional information for proving congruence using SAS.

Step-by-step explanation:

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