Question

question 24 which transformations map the strip pattern onto itself? ppppp a horizontal translation and a reflection across a vertical line a horizontal translation and a 180° rotation a horizontal translation and a glide reflection a horizontal translation only

Explanation:

Step1: Analyze horizontal translation

A horizontal translation will move the pattern of 'PPPPP' along the horizontal - axis. Since the pattern is a repetitive sequence of the same letter, a horizontal translation will map it onto itself.

Step2: Analyze reflection across vertical line

If we reflect the pattern 'PPPPP' across a vertical line, the orientation of the letters will change. For example, if we consider a single 'P', its orientation will be reversed, so the pattern will not map onto itself.

Step3: Analyze 180 - degree rotation

A 180 - degree rotation will change the orientation of the letters. The 'P' will be upside - down (if we consider the standard orientation of 'P'), so the pattern will not map onto itself.

Step4: Analyze glide reflection

A glide reflection is a combination of a translation and a reflection. Since the reflection part (as analyzed in Step 2) will change the orientation of the letters, the pattern will not map onto itself.

Answer:

a horizontal translation only