Question

To obtain Figure 2, Figure 1 is translated 5 units right and then along the x-axis.

• A. rotated
• B. reflected
• C. again translated

Answer 1

The correct option is B reflected

We have to translate Figure 1 5 units right.
So, ABCD is to be translated 5 units right.

Translating coordinates 5 units right:
$x,y\to (x+5),y$

So, the coordinates will be:
A(-1,1) = A'(4,1)
B(-1,3) = B'(4,3)
C(-4,3) = C'(1,3)
D(-4,1) = D'(1,1)



Now the translated figure have to be reflected along x-axis.
Rule for reflection along x-axis is:
$x,y\to x,-y$

So, the final coordinates will be:
A'(4,1) = A''(4,-1)
B'(4,3) = B''(4,-3)
C'(1,3) = C''(1,-3)
D'(1,1) = D''(1,-1)


So, the answer is translated first and then reflected along the x-axis.