Question

ten line segments are shown on the coordinate plane. which of these segments could be the image of segment ab after a sequence of reflections, rotations, and/or translations. check all that apply. cd ef gh ij kl mn op qr st

Explanation:

Step1: Understand the properties of rigid transformations

Reflections, rotations, and translations are rigid transformations. Rigid transformations preserve the length of the segment.

Step2: Count the length of segment \(AB\)

Count the number of units between points \(A\) and \(B\). Segment \(AB\) has a length of \(3\) units.

Step3: Count the lengths of other segments

• Segment \(CD\): Length is \(4\) units.
• Segment \(EF\): Length is \(3\) units.
• Segment \(GH\): Length is \(3\) units.
• Segment \(IJ\): Length is \(2\) units.
• Segment \(KL\): Length is \(2\) units.
• Segment \(MN\): Length is \(3\) units.
• Segment \(OP\): Length is \(4\) units.
• Segment \(QR\): Length is \(4\) units.
• Segment \(ST\): Length is \(2\) units.

Answer:

EF, GH, MN