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UTA WORKS\newlineState if the pair of triangles are similar. If so, state how you know they are similar and complete the similarity statement.\newlineΔUVW∼ \Delta UVW \sim \newline- similar, SAS similarity; \newline- ∠U≅∠L∠K \angle U\cong\angle L\angle K \newline- similar, SSS similarity; \newline- ∠U≅∠L∠K \angle U\cong\angle L\angle K \newline- not similar\newline- similar, SAS similarity; \newline- ∠U≅∠K∠L \angle U\cong\angle K\angle L \newline- similar, SSS similarity; \newline- ∠U≅∠K∠L \angle U\cong\angle K\angle L

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Q. UTA WORKS\newlineState if the pair of triangles are similar. If so, state how you know they are similar and complete the similarity statement.\newlineΔUVW∼ \Delta UVW \sim \newline- similar, SAS similarity; \newline- ∠U≅∠L∠K \angle U\cong\angle L\angle K \newline- similar, SSS similarity; \newline- ∠U≅∠L∠K \angle U\cong\angle L\angle K \newline- not similar\newline- similar, SAS similarity; \newline- ∠U≅∠K∠L \angle U\cong\angle K\angle L \newline- similar, SSS similarity; \newline- ∠U≅∠K∠L \angle U\cong\angle K\angle L
  1. Compare Angles and Sides: To determine if the triangles are similar, we need to compare their corresponding angles and sides to see if they satisfy any of the similarity criteria: AAAA (Angle-Angle), SASSAS (Side-Angle-Side), or SSSSSS (Side-Side-Side).
  2. Check Given Information: First, we need to check if any information is given about the angles or sides of the triangles that would indicate they are congruent or proportional. This information is not provided in the problem statement, so we cannot directly apply any similarity criteria.
  3. Unable to Determine Similarity: Since we do not have specific information about the angles or the sides of the triangles, we cannot conclude that the triangles are similar based on the given information. We need additional information to determine similarity.
  4. Insufficient Information: Without additional information, we cannot use the SAS or SSS similarity criteria to determine if the triangles are similar. Therefore, we cannot complete the similarity statement.

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