Select all the statements that correctly describe the effect of the rule (x, y)(x + 5, y - 2) on AABC. B 2. To-8-6 -4-2 0 2 46 8 -10 O Only the shape and size of AABC will be preserved after the transformation. The new triangle will be 2 units below AABC. O Only the shape of AABC will be preserved after the transformation. The new triangle will be 5 units to the right of AABC. The new triangle will be 5 units above AABC. The shape, size, and orientation of AABC will be preserved after the transformation. The new triangle will be 2 units to the left of AABC.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.5: The Distance And Midpoint Formulas
Problem 2C
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**Question:**

Select all the statements that correctly describe the effect of the rule \((x, y) \rightarrow (x + 5, y - 2)\) on \(\triangle ABC\).

**Diagram Explanation:**

The diagram shows a coordinate grid with \(\triangle ABC\) plotted. The vertices are visually located at approximately:
- \(A(0, 3)\)
- \(B(-3, 0)\)
- \(C(-6, 2)\)

The triangle is positioned in the second quadrant of the grid.

**Statements:**

- [ ] Only the shape and size of \(\triangle ABC\) will be preserved after the transformation.
- [ ] The new triangle will be 2 units below \(\triangle ABC\).
- [ ] Only the shape of \(\triangle ABC\) will be preserved after the transformation.
- [ ] The new triangle will be 5 units to the right of \(\triangle ABC\).
- [ ] The new triangle will be 5 units above \(\triangle ABC\).
- [ ] The shape, size, and orientation of \(\triangle ABC\) will be preserved after the transformation.
- [ ] The new triangle will be 2 units to the left of \(\triangle ABC\).

The transformation \((x, y) \rightarrow (x + 5, y - 2)\) involves shifting the triangle 5 units to the right and 2 units down. This preserves the shape, size, and orientation of \(\triangle ABC\), resulting in a congruent triangle in a different position on the coordinate plane.
Transcribed Image Text:**Question:** Select all the statements that correctly describe the effect of the rule \((x, y) \rightarrow (x + 5, y - 2)\) on \(\triangle ABC\). **Diagram Explanation:** The diagram shows a coordinate grid with \(\triangle ABC\) plotted. The vertices are visually located at approximately: - \(A(0, 3)\) - \(B(-3, 0)\) - \(C(-6, 2)\) The triangle is positioned in the second quadrant of the grid. **Statements:** - [ ] Only the shape and size of \(\triangle ABC\) will be preserved after the transformation. - [ ] The new triangle will be 2 units below \(\triangle ABC\). - [ ] Only the shape of \(\triangle ABC\) will be preserved after the transformation. - [ ] The new triangle will be 5 units to the right of \(\triangle ABC\). - [ ] The new triangle will be 5 units above \(\triangle ABC\). - [ ] The shape, size, and orientation of \(\triangle ABC\) will be preserved after the transformation. - [ ] The new triangle will be 2 units to the left of \(\triangle ABC\). The transformation \((x, y) \rightarrow (x + 5, y - 2)\) involves shifting the triangle 5 units to the right and 2 units down. This preserves the shape, size, and orientation of \(\triangle ABC\), resulting in a congruent triangle in a different position on the coordinate plane.
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