V J K -8-6 W L Y M -4-2 X 6 4 2 O 2 -4 -6 y A B 2 4 C D 6 8 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Are ABCD and JKLM congruent? If so, describe a composition of rigid motions that maps ABCDto JKLM. If not, explain.

The image displays a coordinate plane with the x-axis and y-axis both visible, labeled appropriately. The grid is marked with integer units.

Three quadrilaterals are plotted on the coordinate plane, each positioned in a different quadrant:

1. **Quadrilateral JKLM**:
   - Located in the second quadrant.
   - Coordinates of the vertices:
     - J: (-4, 2)
     - K: (-5, 6)
     - L: (-3, 6)
     - M: (-2, 2)

2. **Quadrilateral ABCD**:
   - Located in the first quadrant.
   - Coordinates of the vertices:
     - A: (2, 5)
     - B: (2, 2)
     - C: (5, 2)
     - D: (6, 5)

3. **Quadrilateral VWXY**:
   - Located in the third quadrant.
   - Coordinates of the vertices:
     - V: (-7, -5)
     - W: (-8, -2)
     - X: (-5, -2)
     - Y: (-4, -5)

Each quadrilateral is labeled clearly with its respective vertices, and the lines connecting these vertices form the shape of the quadrilateral. The x-axis and y-axis intersect at the origin (0,0).
Transcribed Image Text:The image displays a coordinate plane with the x-axis and y-axis both visible, labeled appropriately. The grid is marked with integer units. Three quadrilaterals are plotted on the coordinate plane, each positioned in a different quadrant: 1. **Quadrilateral JKLM**: - Located in the second quadrant. - Coordinates of the vertices: - J: (-4, 2) - K: (-5, 6) - L: (-3, 6) - M: (-2, 2) 2. **Quadrilateral ABCD**: - Located in the first quadrant. - Coordinates of the vertices: - A: (2, 5) - B: (2, 2) - C: (5, 2) - D: (6, 5) 3. **Quadrilateral VWXY**: - Located in the third quadrant. - Coordinates of the vertices: - V: (-7, -5) - W: (-8, -2) - X: (-5, -2) - Y: (-4, -5) Each quadrilateral is labeled clearly with its respective vertices, and the lines connecting these vertices form the shape of the quadrilateral. The x-axis and y-axis intersect at the origin (0,0).
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