1.Quadrilateral GHJK has vertices at the following coordinates: G(-2,-6), H(-8,-8), J(-6,-2), and K(0,0), what would be the new vertices if the quadrilateral was dilated by the scale factor of 1.5?
G':_________
H':_________
J':_________
K':_________
Could please maybe explain in details
I did but I still don't get it. Should I multiply the number in the parenthesis by the scale factor
To dilate a point on a coordinate plane, you need to multiply its coordinates by the scale factor. In this case, the scale factor is 1.5.
Let's start with vertex G(-2,-6):
- Multiply the x-coordinate (-2) by the scale factor (1.5): -2 * 1.5 = -3.
- Multiply the y-coordinate (-6) by the scale factor (1.5): -6 * 1.5 = -9.
So the new coordinates for G' are (-3, -9).
Next, let's move on to vertex H(-8,-8):
- Multiply the x-coordinate (-8) by the scale factor (1.5): -8 * 1.5 = -12.
- Multiply the y-coordinate (-8) by the scale factor (1.5): -8 * 1.5 = -12.
So the new coordinates for H' are (-12, -12).
Now, vertex J(-6,-2):
- Multiply the x-coordinate (-6) by the scale factor (1.5): -6 * 1.5 = -9.
- Multiply the y-coordinate (-2) by the scale factor (1.5): -2 * 1.5 = -3.
So the new coordinates for J' are (-9, -3).
Lastly, vertex K(0,0):
- Multiply the x-coordinate (0) by the scale factor (1.5): 0 * 1.5 = 0.
- Multiply the y-coordinate (0) by the scale factor (1.5): 0 * 1.5 = 0.
So the new coordinates for K' are (0, 0).
In summary, after dilating the quadrilateral GHJK by a scale factor of 1.5, the new vertices are:
G'(-3, -9)
H'(-12, -12)
J'(-9, -3)
K'(0, 0)