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In triangle ABC, the bisector AD of angle A meets BC at D. A line through D parallel to AB meets AC at E. State the criterion proving triangle DEC ~ triangle ABC.

Class 10Criteria for SimilarityGeometry — Similarity
  • AAA criterion
  • BSAS criterion
  • CSSS criterion
  • DNot similar

Step-by-Step Solution

DE || AB makes angle EDC = angle ABC and angle C is common to both triangles. Two equal angles give AA similarity.
Answer: A) AA criterion

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