CBSE Class 10 Maths (Standard) 2017 · Paper 30/2/1 · Question 20

Coordinate Geometry 3 marks Medium

Show that

△ A B C

with vertices

A (- 2, 0)

B (0, 2)

and

C (2, 0)

is similar to

△ D E F

with vertices

D (- 4, 0)

F (4, 0)

and

E (0, 4)

Answer

All three pairs of corresponding sides satisfy

\frac{A B}{D E} = \frac{B C}{E F} = \frac{C A}{F D} = \frac{1}{2}

, so by the SSS criterion

△ A B C \sim △ D E F

(hence proved).

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