Question

If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of C'be?
5
00
NO
A
D
1
-7 -6 -5
4
-3
1
2
3
4
-2 -1 0
-1
C' = (1, [?])
-2

Answer 1

Given:

The rule of translation is:

$(x+3,y-2)$

The trapezoid ABCD on the graph.

To find:

The coordinates of the point C'.

Solution:

From the given graph, it is clear that the coordinates of point C are (-2,4).

The rule of translation is:

$(x,y)\to (x+3,y-2)$

Using this rule of translation, we get

$C(-2,4)\to C'(-2+3,4-2)$

$C(-2,4)\to C'(1,2)$

Therefore, the coordinates of the point C' are (1,2).