Answer:
The coordinates of vertex A" is (3 , 1)
Step-by-step explanation:
* Lets revise The translation of a point
- If the point (x , y) translated horizontally to the right by h units
then the new point = (x + h , y)
- If the point (x , y) translated horizontally to the left by h units
then the new point = (x - h , y)
- If the point (x , y) translated vertically up by k units
then the new point = (x , y + k)
- If the point (x , y) translated vertically down by k units
then the new point = (x , y - k)
* Now lets solve the problem
∵ Δ ABC has a vertex A = (-4 , 2)
∵ The Δ ABC is translated 2 units right and 5 units down to form
triangle A′B′C′
- From the rule above the x coordinate id added by 2 and the
y-coordinate is subtracted by 5
∴ A' = (-4 + 2 , 2 - 5) = (-2 , -3)
∴ The image of vertex A is A' = (-2 , -3)
∵ Δ A'B'C' is then translated 5 units right and 4 units up to form
triangle A″B″C″
- From the rule above the x coordinate is added by 5 and the
y-coordinate is add by 4
∴ A" = (-2 + 5 , -3 + 4) = (3 , 1)
* The coordinates of vertex A" is (3 , 1)
