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).

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
`= ((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).