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Pair of Linear Equations in Two Variables
- Introduction to linear equations in two variables
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- Consistency of Pair of Linear Equations
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- Pair of Linear Equations in Two Variables
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Quadratic Equations
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Coordinate Geometry
Lines (In Two-dimensions)
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Geometry
Triangles
- Similar Figures
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- Basic Proportionality Theorem (Thales Theorem)
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Circles
Trigonometry
Introduction to Trigonometry
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Some Applications of Trigonometry
Mensuration
Areas Related to Circles
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Statistics and Probability
Statistics
Probability
Internal Assessment
Definition
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
Notes
How will be state that the above figures are similar? ∆ABC ∼ ∆DEF are similar if
1) The corresponding angles are same in measurement i.e ∠A≅∠D, ∠B≅∠E ,∠C≅∠F
AND 2) The corresponding sides are of same ratios i.e `"AB"/"DE"="BC"/"EF"= "AC"/"DF"`
Thus the figures above are Similar Figures
Also we can say that if ∠A≅∠D, ∠C≅∠F, ∠B≅∠E then `"AC"/"DF"= "CB"/"FE"= "BA"/"ED"`
OR if `"AC"/"DF"= "CB"/"FE"= "BA"/"ED"` then ∠A≅∠D, ∠C≅∠F, ∠B≅∠E
This is further explained in later concepts with help of theorem.
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