Observe the figures given below carefully and answer the questions
Triangles (10)Observe the figures given below carefully and answer the questions
- Name the figure(s) wherein two figures are similar.
- Name the figure(s) wherein the figures are congruent.
- (a) Prove that congruent triangles are also similar but not the converse. OR (b) What more is least needed for two similar triangles to be congruent ?
Answer
(i) Figure A and Figure C
(ii) Figure C 1
(iii) (a) Triangles are congruent ⇒ Corresponding angles are equal ⇒ Triangles are similar.
Conversely, if triangles are similar then ratio of corresponding sides is same which does not imply corresponding sides are equal
∴ Triangles may not be congruent.
(iii) (b) One pair of corresponding side must be equal
- Exam Year: 2023
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