Answer:
Transformation include reflecting and dilating of points
The scale factor from PQR to P'Q'R' is 1/4
The coordinates of P"Q"R" are P"=(-1,0) Q"=(0,-1) R"=(2,-1) .
PQR and P′'Q′'R′' are not congruent
The points are given as:
p=(4,0)
q=(0,-4)
r=(-8,-4)
p'=(1,0)
q'=(0-1)
r'=(-2,-1)
(a)The scale factor from PQR to P'Q'R
To do this, we make use of corresponding sides QR and Q'R
So, the scale factor (k) is:
k=q'r'/qr
k=2/8
k=1/4
(b) The coordinates of P"Q"R from reflecting P'Q'R' about the y-axis
The rule of this transformation is:
(x,y)--------(-x,y)
So, we have:
p"=(-1,0)
q"=(0,-1)
r"=(2,-1)
(c) Are triangle PQR and P"Q'R" congruent?
No they are not
This is so because
PQR was dilated by 1/4 to get P'Q'R
P'Q'R' and P"Q"R" are congruent
Hence, PQR and P′'Q′'R′' are not congruent
Step-by-step explanation:
