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Which image shows a reflection of the original shape?

A geometric shape on a grid, with three options below showing different transformations, one of which is a reflection.

A geometric shape on a grid, with three options below showing different transformations, one of which is a reflection.

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Show Answer Key & Explanations Step-by-step solution for: IXL | Identify reflections, rotations, and translations | 8th ...
To find the reflection, let's look at the original shape and compare it to the options.

Step 1: Analyze the original shape.
The original blue shape is a trapezoid located in the top-left area of its grid.
- It has a flat horizontal top edge.
- It has a straight vertical right edge.
- The left side is slanted (diagonal).
- The bottom is a short horizontal line connecting the slanted side to the vertical side.

Step 2: Understand "Reflection".
A reflection is like looking at the shape in a mirror. The image is flipped over. If you flip the original shape horizontally (left-to-right), the vertical side that was on the right will move to the left, and the slanted side that was on the left will move to the right.

Step 3: Check the options.

* Image A: This shape looks like it has been slid down and rotated. The vertical side is on the left, but the slanted side goes from top-left to bottom-right. This doesn't match a simple mirror flip of the original.
* Image B: This shape looks identical to the original, just moved to a different spot. This is a translation (slide), not a reflection. The vertical side is still on the right.
* Image C: Let's look closely at this one.
- The vertical side is now on the left. (In the original, it was on the right).
- The slanted side is now on the right. (In the original, it was on the left).
- The flat top is still on top.
- This matches exactly what happens when you flip the original shape horizontally like a mirror image.

Therefore, Image C shows the reflection.

Final Answer: C
Parent Tip: Review the logic above to help your child master the concept of translation dilation rotation and reflection worksheet.
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