Question

pre-algebra ic sem 2 fall 2025
congruence and transformations
square abcd is shown with four congruent images
such that abcd ≅ fghi ≅ jklm ≅ nopq ≅ rstu.
for which square is a reflection necessary to produce the
transformed figure?
jklm
rstu
fghi
nopq

Explanation:

Step1: Understand reflection concept

Reflection is a transformation that flips a figure over a line.

Step2: Analyze each square

• For \(JKLM\): It is obtained by translation (moving without flipping) from \(ABCD\) (not a reflection).
• For \(RSTU\): It is obtained by translation (moving without flipping) from \(FGHI\) (not a reflection).
• For \(FGHI\): It is obtained by translation (moving without flipping) from \(RSTU\) (not a reflection).
• For \(NOPQ\): If we consider the \(y -\)axis (or other appropriate lines), \(NOPQ\) is a reflection of \(ABCD\) (by checking the position of vertices relative to a potential reflection line).

Answer:

\(NOPQ\)