Which grid shows only a translation of the shaded polygon to croata the unshaded polygon? ロ of

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Translation of Shaded Polygon Quiz**

**Question:**
Which grid shows only a translation of the shaded polygon to create the unshaded polygon?

**Answer Choices:**

Each answer choice consists of a pair of coordinate grids labeled \(x\) (horizontal axis) and \(y\) (vertical axis), with one grid displaying a shaded polygon and the other grid showing an unshaded polygon. The four pairs differ in the arrangement and positioning of the shaded and unshaded polygons.

1. **Option 1:**
   - Both grids are shown with a shaded polygon on the left and an unshaded polygon on the right.
   - The shaded polygon starts in the top left quadrant of the grid on the left.
   - The unshaded polygon is in the top right quadrant of the grid on the right with the same orientation as the shaded one.
  
2. **Option 2:**
   - The grid shows a shaded polygon on the left and the unshaded polygon on the right.
   - The shaded polygon starts in the lower left quadrant of the grid on the left.
   - The unshaded polygon is in the lower right quadrant of the grid on the right with the same orientation as the shaded one.

3. **Option 3:**
   - Both grids are shown vertically aligned, with the shaded polygon above and the unshaded polygon below.
   - The shaded polygon starts in the upper part of the grid on the top.
   - The unshaded polygon is in the lower part of the same grid, slightly to the right, with the same orientation as the shaded one.

4. **Option 4:**
   - The grid shows a horizontally aligned arrangement.
   - The shaded polygon appears in the upper part of the grid.
   - The unshaded polygon appears in the lower part of the grid directly below the shaded one but slightly shifted to the left, with the same orientation as the shaded polygon.

**Task:**
Determine which of the provided grids illustrates only a translation - a slide movement along the xy-plane without rotation, resizing, or reflection - transforming the shaded polygon into the unshaded polygon. Consider the orientation and relative position of the polygons in each grid to ensure only translation is applied.
Transcribed Image Text:**Translation of Shaded Polygon Quiz** **Question:** Which grid shows only a translation of the shaded polygon to create the unshaded polygon? **Answer Choices:** Each answer choice consists of a pair of coordinate grids labeled \(x\) (horizontal axis) and \(y\) (vertical axis), with one grid displaying a shaded polygon and the other grid showing an unshaded polygon. The four pairs differ in the arrangement and positioning of the shaded and unshaded polygons. 1. **Option 1:** - Both grids are shown with a shaded polygon on the left and an unshaded polygon on the right. - The shaded polygon starts in the top left quadrant of the grid on the left. - The unshaded polygon is in the top right quadrant of the grid on the right with the same orientation as the shaded one. 2. **Option 2:** - The grid shows a shaded polygon on the left and the unshaded polygon on the right. - The shaded polygon starts in the lower left quadrant of the grid on the left. - The unshaded polygon is in the lower right quadrant of the grid on the right with the same orientation as the shaded one. 3. **Option 3:** - Both grids are shown vertically aligned, with the shaded polygon above and the unshaded polygon below. - The shaded polygon starts in the upper part of the grid on the top. - The unshaded polygon is in the lower part of the same grid, slightly to the right, with the same orientation as the shaded one. 4. **Option 4:** - The grid shows a horizontally aligned arrangement. - The shaded polygon appears in the upper part of the grid. - The unshaded polygon appears in the lower part of the grid directly below the shaded one but slightly shifted to the left, with the same orientation as the shaded polygon. **Task:** Determine which of the provided grids illustrates only a translation - a slide movement along the xy-plane without rotation, resizing, or reflection - transforming the shaded polygon into the unshaded polygon. Consider the orientation and relative position of the polygons in each grid to ensure only translation is applied.
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