Answer:
Ques 1)
The coordinates of the image if point A is translated five units down is:
(-5,-8)
Ques 2)
The coordinates of the image are:
A'(10, 3), B'(7, 1), C'(3, 4)
Explanation:
Ques 1)
We know that if a point which is located at (x,y) is translated some k units down that the rule for the transformation that holds is given by:
(x,y) → (x,y-k)
Here we have: A(x,y)=(-5,-3)
and k= 5
Hence, the location of the translated point is given by:
(-5,-3) → (-5,-3-5)
i.e. (-5,-3) → (-5,-8)
Hence, the answer is: (-5,-8)
Ques 2)
We know that if any points is located at (x,y) and it is translated some k units to the right then the rule for the transformation is given by:
(x,y) → (x+k,y)
Here we have: k=5
Hence, we get:
A( 5,3) → A'(5+5,3) i.e. A(5,3) → A'(10,3)
B(2,1) → B'(2+5,1) i.e. B(2,1) → B'(7,1)
C(-2,4) → C'(-2+5,4) i.e. C(-2,4) → C'(3,4)