Answer:
<em>The endpoint coordinates for the mid-segment are: and
</em>
Step-by-step explanation:
According to the given diagram, the coordinates of the vertices of are:
and
Now, the endpoints of the mid-segment of which is parallel to
will be the mid-points of sides
and
.
<u>Formula for the coordinate of mid-point</u> : , where
and
are two endpoints.
So, the mid-point of will be:
and the mid-point of will be:
Thus, the endpoint coordinates for the mid-segment of that is parallel to
are
and
Reflection along y axis
Translation: which means we shift 3 units down
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Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.