The vertices of triangle PQR are given in the standard (x, y) coordinate plane below. What is the area, in the square coordinate units, of triangle PQR?

Area = 12

Step-by-step explanation:

Given

See attachment

Required

Area of

From the attached image, we have:

The area is then calculated as:

So, we have:

Using a calculator:

Remove absolute bracket

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:

b 1: 45 am

step-by-step explanation:

its that because if it was in the pm it would be 1345