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Is there enough information in the diagram below to determine whether the polygons are similar? If so, explain why, write a similarity statement, and find the scale factor. If not, explain your reasoning. (4pts)

77. Is there enough information in the diagram below to determine whether the polygons are similar? If so, explain why, write a similarity statement, and find the scale factor. If not, explain your reasoning. (44pts)

Full solution

Q. 77. Is there enough information in the diagram below to determine whether the polygons are similar? If so, explain why, write a similarity statement, and find the scale factor. If not, explain your reasoning. (44pts)
  1. Check Angles: Check for corresponding angles that are congruent.
  2. Proportional Sides: Look for sides that are proportional.
  3. Apply Similarity Postulates: If both conditions are met, polygons are similar by AA (Angle-Angle) or SSS (Side-Side-Side) similarity postulates.
  4. Write Similarity Statement: Write a similarity statement if polygons are similar.
  5. Calculate Scale Factor: Calculate the scale factor by comparing the lengths of corresponding sides.
  6. Insufficient Information: If there's not enough info, explain why we can't determine similarity.

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