The answer for the first line segment : (-3,-7) (-4,0)
The answer for 2nd line segment is :(-3,8) (-9,-5)
Explanation:
Let do line segment QR and ST. first.
Step 1: Find a line that contains a points that is perpendicular to the line of reflection
"A reflection of a pre image and new image is perpendicular to the line of reflection.
This means for points Q,S,T and R, there is a line that. contains one point that is perpendicular to the line of reflection.
A line that is perpendicular to the line of reflection is the negative reciprocal of the slope so this means all 4 lines must be on a different slopes but the slopes must be 1/2.
To simplify, things, here are the lines that will all 4 points be on
- Point R will be on line y=1/2x-11/2
- Point Q will be on line y=1/2x+2
- Point S will be on line y=1/2x+19/2
- Point T will be on line y=1/2x-1/2
Step 2: Find a point where both the line and line of reflection intersect at.
Now we need to find a line where both the line of reflections and the 4 lines will intersect at separately.
- The line with Point R will intersect with the line of reflection at point (1,-5)
- The line with Point Q will intersect with line of reflection at Point (-2,1)
- The line with Point S will intersect at point (-5,7)
- The line worth Point T will intersect at Point(-1,-1).
Step 3: Find the endpoints given the midpoint and the originally endpoint.
A reflection per and new image is equidistant from the point of reflection. So we. an say that the point where the line intersect is the midpoint of the pre and new image.
Using this info,
- The endpoint for R prime is (-3, -7).
- The endpoint for Q prime is (-4,0).
- The endpoint of S prime is (-3,8).
- The endpoint of T prime is (-9,-5).
Connect R prime and Q prime. And that the new line segments
Connects S prime and T prime and that the new line segments.