Fractions (Including Problems)
Decimal Fractions (Decimals)
Exponents (Including Laws of Exponents)
Ratio and Proportion (Including Sharing in a Ratio)
Unitary Method (Including Time and Work)
Percent and Percentage
Profit, Loss and Discount
Fundamental Concepts (Including Fundamental Operations)
Simple Linear Equations (Including Word Problems)
Set Concepts (Some Simple Divisions by Vedic Method)
Lines and Angles (Including Construction of Angles)
Symmetry (Including Reflection and Rotation)
Recognition of Solids (Representing 3-d in 2-d)
Congruency: Congruent Triangles
Data Handling (Statistics)
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Use the information given in the following figure to prove triangles ABD and CBD are congruent. Also, find the values of x and y.
In the given figure ;
∠1 = ∠2 and AB = AC.
(i) ∠B = ∠C
(ii) BD = DC
(iii) AD is perpendicular to BC.
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