Q1
What does SSS construction use?
AThree given side lengths
BOnly angles
COnly one side
DNo measurements needed
SSCClass 9 (SSC)Mathematics - Geometry (भूमिती)Ch 4 · Topic 2
Practice and Revision - Constructions of Triangles
Let us practise and revise what we learned about constructions of triangles. Constructing triangles using a compass and ruler based on given
Core concept
To construct a triangle given three sides (SSS), we draw one side, then use a compass to mark arcs from each endpoint for the third vertex.
How it works
To construct a triangle given two sides and the included angle (SAS), we draw one side, construct the given angle, then mark the second side's length.
Why it matters
To construct a triangle given two angles and the included side (ASA), we draw the side, then construct both angles at its endpoints.
Key detail
Practising triangle constructions builds precision and reinforces understanding of triangle properties and congruence criteria.
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Quick notes
• SSS construction: draw side, use compass arcs.
• This finds the third vertex.
• SAS construction: draw side, construct angle.
• Then mark second side's length.
• ASA construction: draw side, construct both angles.
• At the side's endpoints.
• Practice builds construction precision.
• It reinforces congruence understanding.