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: