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Chapter 6 · Question 4

State the SSS and SAS similarity criteria.

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Q4

State the SSS and SAS similarity criteria.

Answer Revealed
Direct Answer:
SSS: If corresponding sides of two triangles are proportional, the triangles are similar. SAS: If one angle is equal and the including sides are proportional, the triangles are similar.

Simple Explanation

SSS uses all three side ratios. SAS uses two side ratios and the included angle.

Exam-Ready Structure

For SSS similarity, if ABPQ=BCQR=CARP\frac{AB}{PQ}=\frac{BC}{QR}=\frac{CA}{RP}, then △ABC∼△PQR\triangle ABC\sim\triangle PQR. For SAS similarity, if ∠A=∠P\angle A=\angle P and ABPQ=ACPR\frac{AB}{PQ}=\frac{AC}{PR}, then the triangles are similar.

Key Points

  • SSS: If corresponding sides of two triangles are proportional, the triangles are similar.
  • Use the NCERT formula or theorem carefully.
  • Write units and final conclusion where applicable.

Related Questions

Q5

What is the theorem on areas of similar triangles?

Q6

State Pythagoras theorem and its converse.

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