Question
What vector translates shape C to shape D?
Answer
4.3
(93 Votes)
Verity
Master · Tutor for 5 years
Answer
The translation vector is \((x_2 - x_1, y_2 - y_1)\).To provide a specific solution, we need the coordinates of corresponding points from shapes
and
. If you provide those coordinates, we can calculate the exact translation vector.
Explanation
## Step 1: In vector mathematics, a translation is a function that moves every point a constant distance in a specified direction. The translation vector is found by subtracting the coordinates of a point in the preimage (the original figure) from the corresponding point in the image that it is mapped onto.## Step 2: To find the translation vector, we select corresponding points from shape
and shape
. For example, let's use point
from shape
and point
from shape
.## Step 3: Assume the coordinates of
are \((x_1, y_1)\) and the coordinates of
are \((x_2, y_2)\).## Step 4: Subtract the coordinates of
from the coordinates of
.### \((x_2 - x_1, y_2 - y_1)\)## Step 5: This result gives us the translation vector that moves shape
to shape
.