Point c(3.6, -0.4) divides in the ratio 3 : 2. if the coordinates of a are (-6, 5), the coordinates of point b are . a (5,-4) b (5,-2) c (10,-4) d (10,-2) if point d divides in the ratio 4 : 5, the coordinates of point d are . a (62/9,-4) b (58/9,-4) c (62/9,-2) d (58/9,-2)

QUESTION 1

The point  C(3.6, -0.4) divides AB in the ratio 3 : 2.

The coordinates of A are (-6, 5).

Let the coordinates of B be

We use the formula:

to determine the x-coordinate of B.

We substitute the known values to obtain:

This implies that:

We also use the formula:

to find the y-coordinate.

The coordinates of B are (10,-4)

QUESTION 2.

If point D divides CD in the ratio 4 : 5.

Then the coordinates of D are:

The coordinates of D are

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

whats the