Question

Triangle EFG has coordinates E (-4,4), F (-4,-2), and G (2,-2). Triangle JKL will be a dilation of triangle EFG with a scale factor
of 1/2
At what coordinates should point L, of triangle JKL, be plotted?
A. (1-1)
B. (2, -1)
c. (-1, 1)
D. (-1,-1)​

Answer 1

The point L is plotted at A. (1, -1).

Step-by-step explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle EFG are as follows;

E = (-4, 4), F = (-4, -2), and G = (2, -2).

The coordinates of triangle JKL are;

J = (-2, 2), K = (-2, -1), and L = (x, y).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of EF $= 4-(-2) =6.$

The distance of JK $= 2-(-1)= 3.$

The distance of FG $=2-(-4)= 6.$

The distance of KL =  (Scale factor)(the distance of FG),

The distance of KL$= (\frac{1}{2} )(6) = 3.$

Step 3;

So the point L is 3 points away from point k on the x axis.

(x, y) = (-2+3, 1) = (1, -1).

So point L is plotted at option A. (1, -1).