Question

Rays OV, OW, OX, OY and OZ intersect at point O (see figure below). Draw points A,A’
on OV, B,B’ on OW, C,C’ on OX, D,D on OY, and E,E’ on OZ, such that AB parallel to A’B’, BC parallel
to B’C’, CD parallel to C’D’ and DE parallel to D’E’.
Prove that the ratio of OA to OA’ is equal to the ratio of OE to OE’.

Answer 1

Answer:

Subtracting a fraction from a whole

Rewrite the whole as a fraction using t2 as the denominator :

t t • t2

t = — = ——————

1 t2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator.