Final answer:
To plot the points G(-8, -2), H(-1, -2), J(4, 3), and K(4, 8) in a coordinate plane, locate each point using its x and y coordinates, and connect the points GH and JK. GH and JK are not congruent because they have different lengths.
Step-by-step explanation:
To plot the points G(-8, -2), H(-1, -2), J(4, 3), and K(4, 8) on a coordinate plane, you need to locate each point using its x and y coordinates. The x-coordinate tells you how far the point is from the vertical y-axis, and the y-coordinate tells you how far the point is from the horizontal x-axis. You can then connect the points GH and JK to determine if they are congruent by comparing their lengths. If the lengths are equal, GH and JK are congruent.
- Point G is located 8 units to the left of the origin (-8) and 2 units below the x-axis (-2).
- Point H is located 1 unit to the left of the origin (-1) and 2 units below the x-axis (-2).
- Point J is located 4 units to the right of the origin (4) and 3 units above the x-axis (3).
- Point K is located 4 units to the right of the origin (4) and 8 units above the x-axis (8).
To determine if GH and JK are congruent, you can find the lengths of each line segment. GH has a length of |HG| = |-8 - (-1)| = 7 units, while JK has a length of |KJ| = |4 - 4| = 0 units. Since GH and JK have different lengths, they are not congruent.