To find the coordinates of point D to make a rectangle, we need to understand that in a rectangle, opposite sides are equal and parallel. This means if we have three points A, B, and C, we can find point D by ensuring it completes the shape with these properties.
Let's go through each problem step by step:
1) Points A(2, 8), B(3, 2), C(5, 2). To form a rectangle, point D should be at (4, 8).
2) Points A(1, 9), B(1, 2), C(7, 2). Point D should be at (7, 9).
3) Points A(2, 4), B(3, 6), C(3, 4). Point D should be at (2, 6).
4) Points A(6, 7), B(3, 2), C(7, 2). Point D should be at (6, 2).
5) Points A(5, 5), B(7, 5), C(5, 3). Point D should be at (7, 3).
6) Points A(7, 2), B(5, 6), C(6, 6). Point D should be at (5, 2).
7) Points A(4, 3), B(5, 4), C(4, 4). Point D should be at (5, 3).
8) Points A(4, 8), B(7, 7), C(7, 8). Point D should be at (4, 7).
9) Points A(2, 7), B(4, 7), C(2, 5). Point D should be at (4, 5).
10) Points A(4, 6), B(2, 2), C(4, 2). Point D should be at (2, 6).
11) Points A(6, 5), B(3, 7), C(3, 5). Point D should be at (6, 7).
Final Answer:
1) (4, 8)
2) (7, 9)
3) (2, 6)
4) (6, 2)
5) (7, 3)
6) (5, 2)
7) (5, 3)
8) (4, 7)
9) (4, 5)
10) (2, 6)
11) (6, 7)
Parent Tip: Review the logic above to help your child master the concept of distance on the coordinate plane worksheet.