Question

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1. which transformation would be a horizontal reflection and a dilation of scale factor $\frac{1}{2}$ of the l shape?

Explanation:

Step1: Identify horizontal reflection

A horizontal reflection over the vertical axis flips the L-shape so its "opening" faces the opposite horizontal direction. The original L-shape opens to the right/top; the reflected shape should open to the left/top.

Step2: Apply dilation scale factor $\frac{1}{2}$

A dilation with scale factor $\frac{1}{2}$ reduces the size of the shape to half its original dimensions.

Step3: Match to options

Check each option:

• Option1: Red shape is reflected but not smaller (no dilation).
• Option2: Red shape is reflected but same size (no dilation).
• Option3: Red shape is reflected and is half the original size, matching both transformations.
• Option4: Red shape is smaller but not correctly reflected (opening direction wrong).

Answer:

The third option (the one with the smaller red L-shape that is horizontally reflected over the vertical axis)