The vertices of a rectangle are
R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1).
After translation, mc010-1.jpg is the point (–1, –2).
Find the coordinates of mc010-2.jpg.
a
mc010-6.jpg
b
mc010-3.jpg
c
mc010-5.jpg
d
mc010-4.jpg
To find the coordinates of mc010-2.jpg, we need to apply the same translation to the coordinates of R(–5, –5) and U(–5, 1) as we did to get from R(–5, –5) to mc010-1.jpg(–1, –2).
Let's break down the translation:
1. To find the horizontal translation (x-coordinate change) from R to mc010-1.jpg, we subtract the x-coordinate of R (–5) from the x-coordinate of mc010-1.jpg (–1). Therefore, the horizontal translation is: –1 – (–5) = 4.
2. To find the vertical translation (y-coordinate change) from R to mc010-1.jpg, we subtract the y-coordinate of R (–5) from the y-coordinate of mc010-1.jpg (–2). Therefore, the vertical translation is: –2 – (–5) = 3.
Now, let's apply the same translations to R(–5, –5) and U(–5, 1):
1. For the x-coordinate of R(–5, –5), we add the horizontal translation (4) to it, resulting in: –5 + 4 = –1.
2. For the y-coordinate of R(–5, –5), we add the vertical translation (3) to it, resulting in: –5 + 3 = –2.
Therefore, the coordinates of mc010-2.jpg are (–1, –2).
Hence, the correct answer is a) mc010-6.jpg.