IDNLearn.com: Your trusted platform for finding precise and reliable answers. Find the information you need quickly and easily with our comprehensive and accurate Q&A platform.
Sagot :
To graph the quadrilateral with the given vertices [tex]\((-1, 6)\)[/tex], [tex]\((10, 1)\)[/tex], [tex]\((9, 5)\)[/tex], and [tex]\((7, 7)\)[/tex], follow these steps:
### Step-by-Step Solution
1. Plot the Points:
Start by plotting each of the given vertices on a coordinate plane.
- Point A: [tex]\((-1, 6)\)[/tex]
- Point B: [tex]\((10, 1)\)[/tex]
- Point C: [tex]\((9, 5)\)[/tex]
- Point D: [tex]\((7, 7)\)[/tex]
2. Label the Points:
- Clearly label each of the vertices with their corresponding coordinates.
3. Connect the Points:
- Draw straight lines to connect the vertices in the order you want them to form the quadrilateral. For this example, we can connect them in the given order:
1. Connect point A [tex]\((-1, 6)\)[/tex] to point B [tex]\((10, 1)\)[/tex].
2. Connect point B [tex]\((10, 1)\)[/tex] to point C [tex]\((9, 5)\)[/tex].
3. Connect point C [tex]\((9, 5)\)[/tex] to point D [tex]\((7, 7)\)[/tex].
4. Finally, connect point D [tex]\((7, 7)\)[/tex] back to point A [tex]\((-1, 6)\)[/tex].
### Visual Representation
1. Draw the Axes:
- Draw the x-axis and y-axis on your graph paper or coordinate plane.
- Make sure to appropriately scale the axes. Since the x-coordinates range from [tex]\(-1\)[/tex] to [tex]\(10\)[/tex] and the y-coordinates range from [tex]\(1\)[/tex] to [tex]\(7\)[/tex], ensure that these ranges are covered.
2. Plotting the Points:
- Point A: Move [tex]\(1\)[/tex] unit to the left from the origin (0,0) and [tex]\(6\)[/tex] units up. Mark this point.
- Point B: Move [tex]\(10\)[/tex] units to the right and [tex]\(1\)[/tex] unit up. Mark this point.
- Point C: Move [tex]\(9\)[/tex] units to the right and [tex]\(5\)[/tex] units up. Mark this point.
- Point D: Move [tex]\(7\)[/tex] units to the right and [tex]\(7\)[/tex] units up. Mark this point.
3. Connecting the Points:
- Draw a line from point A [tex]\((-1, 6)\)[/tex] to point B [tex]\((10, 1)\)[/tex].
- Draw a line from point B [tex]\((10, 1)\)[/tex] to point C [tex]\((9, 5)\)[/tex].
- Draw a line from point C [tex]\((9, 5)\)[/tex] to point D [tex]\((7, 7)\)[/tex].
- Draw a line from point D [tex]\((7, 7)\)[/tex] back to point A [tex]\((-1, 6)\)[/tex].
### Final Graph:
- The quadrilateral should now be visible on your coordinate plane, and it should have the shape formed by the connected points [tex]\((-1, 6)\)[/tex], [tex]\((10, 1)\)[/tex], [tex]\((9, 5)\)[/tex], and [tex]\((7, 7)\)[/tex].
By following these steps, you can successfully graph the given quadrilateral on the coordinate plane.
### Step-by-Step Solution
1. Plot the Points:
Start by plotting each of the given vertices on a coordinate plane.
- Point A: [tex]\((-1, 6)\)[/tex]
- Point B: [tex]\((10, 1)\)[/tex]
- Point C: [tex]\((9, 5)\)[/tex]
- Point D: [tex]\((7, 7)\)[/tex]
2. Label the Points:
- Clearly label each of the vertices with their corresponding coordinates.
3. Connect the Points:
- Draw straight lines to connect the vertices in the order you want them to form the quadrilateral. For this example, we can connect them in the given order:
1. Connect point A [tex]\((-1, 6)\)[/tex] to point B [tex]\((10, 1)\)[/tex].
2. Connect point B [tex]\((10, 1)\)[/tex] to point C [tex]\((9, 5)\)[/tex].
3. Connect point C [tex]\((9, 5)\)[/tex] to point D [tex]\((7, 7)\)[/tex].
4. Finally, connect point D [tex]\((7, 7)\)[/tex] back to point A [tex]\((-1, 6)\)[/tex].
### Visual Representation
1. Draw the Axes:
- Draw the x-axis and y-axis on your graph paper or coordinate plane.
- Make sure to appropriately scale the axes. Since the x-coordinates range from [tex]\(-1\)[/tex] to [tex]\(10\)[/tex] and the y-coordinates range from [tex]\(1\)[/tex] to [tex]\(7\)[/tex], ensure that these ranges are covered.
2. Plotting the Points:
- Point A: Move [tex]\(1\)[/tex] unit to the left from the origin (0,0) and [tex]\(6\)[/tex] units up. Mark this point.
- Point B: Move [tex]\(10\)[/tex] units to the right and [tex]\(1\)[/tex] unit up. Mark this point.
- Point C: Move [tex]\(9\)[/tex] units to the right and [tex]\(5\)[/tex] units up. Mark this point.
- Point D: Move [tex]\(7\)[/tex] units to the right and [tex]\(7\)[/tex] units up. Mark this point.
3. Connecting the Points:
- Draw a line from point A [tex]\((-1, 6)\)[/tex] to point B [tex]\((10, 1)\)[/tex].
- Draw a line from point B [tex]\((10, 1)\)[/tex] to point C [tex]\((9, 5)\)[/tex].
- Draw a line from point C [tex]\((9, 5)\)[/tex] to point D [tex]\((7, 7)\)[/tex].
- Draw a line from point D [tex]\((7, 7)\)[/tex] back to point A [tex]\((-1, 6)\)[/tex].
### Final Graph:
- The quadrilateral should now be visible on your coordinate plane, and it should have the shape formed by the connected points [tex]\((-1, 6)\)[/tex], [tex]\((10, 1)\)[/tex], [tex]\((9, 5)\)[/tex], and [tex]\((7, 7)\)[/tex].
By following these steps, you can successfully graph the given quadrilateral on the coordinate plane.
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.
