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AABC shown on the coordinate plane Select all corectiv descrbe effect of the rue (z. v) (z-

AABC shown on the coordinate plane Select all corectiv descrbe effect of the rue (z. v) (z-

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Select all the statements that correctly describe the effect of the rule \((x, y) \rightarrow (x + 3, y - 4)\) on \(\triangle ABC\).** - [ ] The new triangle will be 3 units to the left and 4 units above \(\triangle ABC\). - [ ] The new triangle will be 3 units to the right and 4 units below \(\triangle ABC\). - [ ] The new triangle will be 3 units to the left and 4 units above \(\triangle ABC\). - [ ] Only the shape and size of \(\triangle ABC\) will be preserved after the transformation. - [ ] The shape, size, and orientation of \(\triangle ABC\) will be preserved after the transformation.
Transcribed Image Text:**Select all the statements that correctly describe the effect of the rule \((x, y) \rightarrow (x + 3, y - 4)\) on \(\triangle ABC\).** - [ ] The new triangle will be 3 units to the left and 4 units above \(\triangle ABC\). - [ ] The new triangle will be 3 units to the right and 4 units below \(\triangle ABC\). - [ ] The new triangle will be 3 units to the left and 4 units above \(\triangle ABC\). - [ ] Only the shape and size of \(\triangle ABC\) will be preserved after the transformation. - [ ] The shape, size, and orientation of \(\triangle ABC\) will be preserved after the transformation.
The image presents a coordinate plane with triangle \( \triangle ABC \) displayed. The vertices of the triangle are marked as points \( A \), \( B \), and \( C \). The triangle appears to be plotted in the first quadrant, with axes visible in the graph. There is a mathematical rule provided: \( (x, y) \rightarrow (x+3, y-4) \). This rule indicates that each point on \( \triangle ABC \) is transformed by moving 3 units to the right (positive x-direction) and 4 units down (negative y-direction). Students are asked to select all statements that accurately describe how this transformation affects \( \triangle ABC \). Graph Diagram Explanation: - The graph consists of a grid with horizontal and vertical lines. - Triangle \( \triangle ABC \) is plotted with each vertex highlighted as a purple point. - The transformation rule affects all vertices, shifting the entire triangle according to the given changes in x and y coordinates. This exercise involves understanding geometric transformations on the coordinate plane and identifying the correct statements describing these transformations.
Transcribed Image Text:The image presents a coordinate plane with triangle \( \triangle ABC \) displayed. The vertices of the triangle are marked as points \( A \), \( B \), and \( C \). The triangle appears to be plotted in the first quadrant, with axes visible in the graph. There is a mathematical rule provided: \( (x, y) \rightarrow (x+3, y-4) \). This rule indicates that each point on \( \triangle ABC \) is transformed by moving 3 units to the right (positive x-direction) and 4 units down (negative y-direction). Students are asked to select all statements that accurately describe how this transformation affects \( \triangle ABC \). Graph Diagram Explanation: - The graph consists of a grid with horizontal and vertical lines. - Triangle \( \triangle ABC \) is plotted with each vertex highlighted as a purple point. - The transformation rule affects all vertices, shifting the entire triangle according to the given changes in x and y coordinates. This exercise involves understanding geometric transformations on the coordinate plane and identifying the correct statements describing these transformations.
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