Question

Polygon JKLM is drawn with vertices J(−4, −3), K(−4, −6), L(−1, −6), M(−1, −3). Determine the image coordinates of M’if the pre-image is reflected across y = −5.

A M’(-1,-9)
B M’(-1,-7)
C M’(-1,-1
D M’(1,-3)

Answer 1

The coordinates of point M' if the preimage is reflected

across y = −3 would be M'(-1, -2).

What are the types of translations?

There are three types of translations -

reflection

rotation

dilation

Given is that a Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). We have to find the image coordinates of M′ if the preimage is reflected across y = −3.

The reflection of point (x, y) reflected across the line y = a is (x, 2a - y)

So, we can write the coordinates of point M' if the preimage is reflected

across y = −3 would be -

M(-1, -4) → M'(-1, 2 x - 3 + 4)

M(-1, -4) → M'(-1, -2)

Therefore, the coordinates of point M' if the preimage is reflected

across y = −3 would be M'(-1, -2).

Explanation:

Answer 2

I believe it is :B) M' (-1, -7)

Explanation:

M has the vertices of (-1, -3).

We know that the -1 is from the x axis and -3 is from the y axis.

Since we are reflecting across y = -5 it gets reflected from up to down, meaning the new vertices would be (-1 , -?) the new Vertice for the y axis would be less than -3.

After reflecting it we get: (-1, -7)

I know its a little confusing without an image but I hope this helps!