Answer:
The new co-ordinates are A¹ ( -2 , 0)
Explanation:
Step(i):-
Point A of rectangle ABCD is located at coordinates (3,7).
Type of transformation change of co-ordinate point
Vertical translation up 'd' units (x, y)→ (x, y +d)
Vertical translation down 'd' units (x, y)→ (x, y -d)
Horizontal translation left 'C' units (x, y)→ (x - c , y)
Horizontal translation right 'C' units (x, y)→ (x + c , y)
Step(ii):-
Given rectangle ABCD is translated down 7 and left 5
Given Point A(3 ,7)
Vertical translation down '7' units t
The new co-ordinate A¹ ( 3 , 7-7)→ A¹( 3, 0) and Horizontal translation left ''5' units
Now the new co-ordinates are A¹ ( 3-5 , 7-7)
Final answer:-
The new co-ordinates are A¹ ( -2 , 0)