# Geometry – Grade 10 ICSE

There are few topics covered in this section:

1. Similarity
2. Loci
3. Circles

Click on each topic to know more details.

Similarity
Key topics include:
• Axioms of similarity of triangles
• Basic theorem of proportionality
• Areas of similar triangles are proportional to the squares on corresponding sides
• Direct applications based on the above including applications to maps and models

Loci
Key topics include:
• Loci: Definition, meaning, Theorems based on Loci
• The locus of a point equidistant from a fixed point is a circle with the fixed point as centre
• The locus of a point equidistant from two interacting lines is the bisector of the angles between the lines
• The locus of a point equidistant from two given points is the perpendicular bisector of the line joining the points
Circles
Key topics include:
• Chord Properties
• Arc and chord properties
• Cyclic Properties
• Tangent Properties

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