if trangle pqr is translated 4 units to the right to form triangle p'q'r' how are the values on the orderd pairs affected by the translation​
Answer:
The x-coordinate of each point will increase by 4.
Step-by-step explanation:
So Triangle PQR is being translated 4 units to the right. Since we are going to the right, this is a shift on the x-coordinate.
And since we're going 4 units, every x-coordinate is going to be added by 4.
In other words, if we have:
[tex]A(x,y)[/tex]
Then the new coordinate, A', is:
[tex]A(x,y)\rightarrow A' (x+4,y)[/tex]
So, let's find the new coordinates of each point.
Point P is (-5,6). So:
[tex]P(-5,6)\rightarrow P'(-5+4,6)=P'(-1,6)[/tex]
The new Point P is at (-1,6).
Point Q is at (2,6). So:
[tex]Q(2,6)\rightarrow Q'(2+4,6)=Q'(6,6)[/tex]
The new Point Q would be at (6,6).
And Point R is at (-3,2). So:
[tex]R(-3,2)\rightarrow R(-3+4,2)=R(1,2)[/tex]
The new Point R is at (1,2).
And we're done!
Since we are translating 4 units to the right, all x-values are going to be added by 4.
Point P: (-5, 6) -> (-5 + 4, 6) -> (-1, 6)
Point Q: (2, 6) -> (2 + 4, 6) -> (6, 6)
Point R: (-3, 2) -> (-3 + 4, 6) -> (1, 2)
Best of Luck!