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In Exercises 3-6, determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither. 3) I 214 4 A BED 4x 4 6 F 4) 4 C A 41 B 2 4 D F E 4x

In Exercises 3-6, determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither. 3) I 214 4 A BED 4x 4 6 F 4) 4 C A 41 B 2 4 D F E 4x

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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**In Exercises 3-6, determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.** **3) Description:** - A coordinate plane with two triangles, labeled \(ABC\) in blue and \(DEF\) in red. - Triangle \(ABC\) is located in the second quadrant. - \(A\) at (-4, 2) - \(B\) at (-2, 4) - \(C\) at (-4, -2) - Triangle \(DEF\) is located in the fourth quadrant. - \(D\) at (2, -4) - \(E\) at (4, -2) - \(F\) at (2, -6) The red triangle is a reflection of the blue triangle across the y-axis. **4) Description:** - A coordinate plane with two triangles, labeled \(ABC\) in blue and \(DEF\) in red. - Triangle \(ABC\) is located in the first quadrant. - \(A\) at (0, 1) - \(B\) at (2, 2) - \(C\) at (1, 4) - Triangle \(DEF\) is located in the third quadrant. - \(D\) at (-2, -1) - \(E\) at (0, -2) - \(F\) at (-1, -4) The red triangle is a reflection of the blue triangle across the x-axis.
Transcribed Image Text:**In Exercises 3-6, determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.** **3) Description:** - A coordinate plane with two triangles, labeled \(ABC\) in blue and \(DEF\) in red. - Triangle \(ABC\) is located in the second quadrant. - \(A\) at (-4, 2) - \(B\) at (-2, 4) - \(C\) at (-4, -2) - Triangle \(DEF\) is located in the fourth quadrant. - \(D\) at (2, -4) - \(E\) at (4, -2) - \(F\) at (2, -6) The red triangle is a reflection of the blue triangle across the y-axis. **4) Description:** - A coordinate plane with two triangles, labeled \(ABC\) in blue and \(DEF\) in red. - Triangle \(ABC\) is located in the first quadrant. - \(A\) at (0, 1) - \(B\) at (2, 2) - \(C\) at (1, 4) - Triangle \(DEF\) is located in the third quadrant. - \(D\) at (-2, -1) - \(E\) at (0, -2) - \(F\) at (-1, -4) The red triangle is a reflection of the blue triangle across the x-axis.
The image is a coordinate grid displaying two right-angled triangles. The grid includes labeled axes: the horizontal axis (x-axis) and the vertical axis (y-axis), both marked with integers ranging from -4 to 4. ### Triangles: 1. **Triangle ABC (Blue):** - Vertex A is at the point (3, 0). - Vertex B is at the point (0, 0). - Vertex C is at the point (0, 3). - The triangle ABC is positioned in the first quadrant and is a right-angled triangle with the right angle at B. 2. **Triangle DEF (Red):** - Vertex D is at the point (-1, -2). - Vertex E is at the point (-3, -2). - Vertex F is at the point (-3, -4). - The triangle DEF is located in the third quadrant and is a right-angled triangle with the right angle at E. This graph illustrates transformations on the coordinate plane, specifically focusing on the shifts and orientations of right-angled triangles in different quadrants.
Transcribed Image Text:The image is a coordinate grid displaying two right-angled triangles. The grid includes labeled axes: the horizontal axis (x-axis) and the vertical axis (y-axis), both marked with integers ranging from -4 to 4. ### Triangles: 1. **Triangle ABC (Blue):** - Vertex A is at the point (3, 0). - Vertex B is at the point (0, 0). - Vertex C is at the point (0, 3). - The triangle ABC is positioned in the first quadrant and is a right-angled triangle with the right angle at B. 2. **Triangle DEF (Red):** - Vertex D is at the point (-1, -2). - Vertex E is at the point (-3, -2). - Vertex F is at the point (-3, -4). - The triangle DEF is located in the third quadrant and is a right-angled triangle with the right angle at E. This graph illustrates transformations on the coordinate plane, specifically focusing on the shifts and orientations of right-angled triangles in different quadrants.
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