Answer:
The new co-ordinates are A¹ ( -2 , 0)
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Point A of rectangle ABCD is located at coordinates (3,7).
<u><em>Type of transformation </em></u><em> </em><u><em> change of co-ordinate point</em></u>
<em>Vertical translation up 'd' units (x, y)→ (x, y +d)</em>
<em>Vertical translation down 'd' units (x, y)→ (x, y -d)</em>
<em>Horizontal translation left 'C' units (x, y)→ (x - c , y) </em>
<em>Horizontal translation right 'C' units (x, y)→ (x + c , y) </em>
<u><em>Step(ii</em></u><em>):-</em>
<em>Given rectangle ABCD is translated down 7 and left 5</em>
<em>Given Point A(3 ,7) </em>
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)
<u><em>Final answer:-</em></u>
The new co-ordinates are A¹ ( -2 , 0)