Hi! I need help with this math homework question:
If you had a triangle that has the vertices (-2, 1), (0, -5), and (1. 2) and you had to shift that triangle 5 units left and 4 units down, how would you find the vertices of the shifted triangle?
easy. Just -5 to x and -4 to y:
(-2,1) -> (-7,-3)
and similarly for the other points.
To find the new vertices of the shifted triangle, you need to apply the given shifts of 5 units left and 4 units down to each vertex of the original triangle.
Here's how you can find the new coordinates for each vertex:
1. Start with the coordinates of the original triangle's vertices:
Vertex A: (-2, 1)
Vertex B: (0, -5)
Vertex C: (1, 2)
2. Apply the shift of 5 units left and 4 units down to each vertex:
For the x-coordinate, subtract 5 from each x-value.
For the y-coordinate, subtract 4 from each y-value.
New vertex A:
x-coordinate: -2 - 5 = -7
y-coordinate: 1 - 4 = -3
New coordinates: (-7, -3)
New vertex B:
x-coordinate: 0 - 5 = -5
y-coordinate: -5 - 4 = -9
New coordinates: (-5, -9)
New vertex C:
x-coordinate: 1 - 5 = -4
y-coordinate: 2 - 4 = -2
New coordinates: (-4, -2)
Therefore, the vertices of the shifted triangle are:
Vertex A: (-7, -3)
Vertex B: (-5, -9)
Vertex C: (-4, -2)
I hope this helps you with your math homework! Let me know if there's anything else I can assist you with.