A P Singh Solutions for Chapter: Triangles, Exercise 1: WORKSHEET (Self Assessment)

Two polygons of the same number of sides are similar, if their corresponding $.........$ are equal and corresponding sides are in $..........$.

If a line divides any two sides of a triangle in $.........$, then the line is $........$ to the third side.

$AAA$ similarity criterion: If in two triangles, corresponding angles are equal, then their$.........$are in the same ratio and hence, the two triangles are similar.

SSS similarity criterion: If in two triangles, corresponding sides are in the _____, then their corresponding angles are equal and hence the triangles are _____.

$\mathrm{SAS}$ similarity criterion: If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in the$.........$, then the triangles are similar.

The ratio of the _____ of two similar triangles is equal to the square of the ratio of their corresponding sides.

If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then the triangles on both sides of the perpendicular are _____ to the whole triangle and also similar to each other.

Converse of Pythagoras Theorem. If in a triangle, square of the longest side is equal to the sum of the squares of the other two sides, then the angle opposite to the longest side is equal to _____ degrees.