Use grid paper to graph the triangle with vertices (1,3) (1,5) (3,4).Then sketch its reflection.
To graph the triangle with vertices (1,3), (1,5), and (3,4) on grid paper, follow these steps:
1. Draw the grid paper with appropriate spacing and scale. Ensure that the scale on both the x-axis and y-axis is the same for accuracy.
2. Locate the first vertex (1,3) on the grid paper. Count 1 unit to the right on the x-axis and 3 units up on the y-axis from the origin (0,0). Mark this point on the grid.
3. Locate the second vertex (1,5) on the grid paper. Count 1 unit to the right on the x-axis and 5 units up on the y-axis from the origin. Mark this point on the grid.
4. Locate the third vertex (3,4) on the grid paper. Count 3 units to the right on the x-axis and 4 units up on the y-axis from the origin. Mark this point on the grid.
5. Connect the three points to form the triangle. Start from the first vertex and draw lines to the second and third vertices, and then connect the last vertex back to the first.
To sketch the reflection of this triangle, follow these steps:
1. Draw a line of reflection. In this case, the line of reflection can be a vertical line, such as the y-axis, passing through the mid-point of the initial triangle.
2. Reflect the first vertex across the line of reflection. Measure the distance between the line of reflection and the first vertex and mark an equidistant point on the opposite side of the line.
3. Repeat the reflection process for the second and third vertices. Measure the distances between the line of reflection and each of the remaining vertices and mark their equidistant points on the opposite side of the line.
4. Connect the three reflected vertices to form the reflected triangle. Start from the first reflected vertex and draw lines to the second and third reflected vertices, and then connect the last reflected vertex back to the first.
By following these steps, you should be able to accurately graph the given triangle and sketch its reflection.