Q1
What defines similar triangles?
AEqual angles and proportional sides
BEqual sides only
CEqual angles only, without proportional sides
DNo specific relationship
SSCClass 10 (SSC)Mathematics - Geometry (भूमिती)Ch 1 · Topic 1
Similarity
Similar figures have the same shape but different sizes, with corresponding angles equal and corresponding sides in proportion.
Core concept
Two triangles are similar if their corresponding angles are equal (AA similarity) or if their corresponding sides are in proportion (SSS similarity).
How it works
The Basic Proportionality Theorem (Thales' theorem) states that a line parallel to one side of a triangle divides the other two sides proportionally.
Why it matters
Similar triangles have equal ratios of corresponding sides, and the ratio of their areas equals the square of the ratio of corresponding sides.
Key detail
Understanding similarity helps solve problems involving scale models, indirect measurement, and proving geometric relationships.
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Quick notes
• Similar triangles: equal angles, proportional sides.
• AA similarity: equal corresponding angles.
• SSS similarity: proportional corresponding sides.
• Basic Proportionality Theorem (Thales'): parallel line divides sides proportionally.
• Area ratio = square of side ratio.
• Similarity helps scale models.
• Also helps indirect measurement.
• It proves geometric relationships.