Question

△c'd'e' is a translation of △cde. write the translation rule.

a) x′=x+2,y ′=y+2
b) x =x−2,y=y−2
c) x′=x+2,y ′=y−2
d) x′=x−2,y ′=y+2

Answer 1

To determine the translation rule for △c'd'e', which is a translation of △cde, coordinates of corresponding vertices are compared. The translation rule of x' = x + 2, y' = y + 2 indicates a shift of 2 units right and 2 units up for each vertex.

Step-by-step explanation:

To find the correct translation rule for △c'd'e' as a translation of △cde, we must compare the coordinates of corresponding vertices in both triangles. The translation rule is a formula that tells us how to move each point from the original triangle to its corresponding point in the translated triangle. By comparing the coordinates, we can determine in which direction and by how many units the triangle has been moved along the x-axis and y-axis.

If the coordinates of the vertices of the original triangle are moved 2 units to the right and 2 units up, the translation rule would be: x′=x+2, y′=y+2. This represents a horizontal shift in the positive x-direction and a vertical shift in the positive y-direction. If x' and y' are the new coordinates after the translation, and x and y are the original coordinates, then adding 2 to both x and y will move the point up and to the right.