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15. In a triangle XYZ, a line MN is drawn parallel to YZ, points M,
N being on XY and XZ respectively. If XY=2XM, then what is the
ratio of the area of triangle XMN to the area of triangle XYZ?
Section A(Answers)
1. Option (b) Thales is the correct answer
Basic proportionality theorem was introduced by a famous
greek mathematician named Thales.
2. Option (c) is the correct answer
The ratio of the areas of the triangles is equal to the square of
the corresponding medians.
The ratio of the areas of the triangles is equal to the square of
the corresponding altitudes.
Any of these can be used to find the ratio of given triangles.
3. Option (d) DEBC is the correct answer
DEBC is the condition for the triangle to satisfy basic
proportionality theorem.
4. Option (c) RHS is the correct answer