Question

1. rectangle abcd is reflected over the line ( y = 1 ) and then translated by which rule to map to ( abcd )?

Explanation:

Step1: Find the horizontal translation

Count the number of units moved horizontally. From the reflected rectangle to \(A''B''C''D''\), it moves \(5\) units to the right. So for the \(x -\) coordinate, the rule is \(x\to x + 5\).

Step2: Find the vertical translation

Count the number of units moved vertically. There is no vertical movement. So for the \(y -\) coordinate, the rule is \(y\to y+0\).

Answer:

\((x,y)\to(x + 5,y)\)