Question

Consider an object ABCD with given coordinates A(10,10),B(60,10),C(60,60) and D(10,60).It is desired to double the size of the object keeping in mind that point A remains the same

Answer 1

Answer:

A(10,10), P(110,10), Q(110,110) and R(10,110)

Step-by-step explanation:

A(10,10),B(60,10),C(60,60) and D(10,60)

Assuming Double the size means

the each side will get doubled

& Let say new object would by APQR

then B will be mid point of AP

& D will be mid point of AR

Hence   B = (A + P)/2

=> 60 , 10  =  ( 10 + Px)/2  , (10 + Py)/2)

=> Px = 110  , Py = 10

=> P ( 110  , 10)

D = (A + R)/2

=> 10 , 60  =  ( 10 + Rx)/2  , (10 + Ry)/2)

=> Rx = 10  , Ry = 110

=> R ( 10  , 110)

C will be mid point of AQ   as

=> 60 , 60  = (10 + Qx)/2 , (10 + Qy)/2

=> Q = (110 , 110)

A(10,10),P(110,10),Q(110,110) and R(10,110)