Three vertices of parallelogram DEFG are D(-2, -4), F(0, 7), and G(1, 0). Find the coordinates of E. The coordinates of E are ___.

preprekomW

preprekomW

Answered question

2021-02-01

Three vertices of parallelogram DEFG are D(-2, -4), F(0, 7), and G(1, 0). Find the coordinates of E. The coordinates of E are ___.

Answer & Explanation

unett

unett

Skilled2021-02-02Added 119 answers

Plot the three points. We note that point EE must be between DD and F. By definition of parallelogram, opposite sides must be parallel so DE¯¯¯¯¯∥FG¯¯¯¯¯ and EF¯¯¯¯¯∥DG¯¯¯¯¯¯. Since DD is 3 units to the left and 4 units down of G, then EE is also 3 units to the left and 4 units down of F so: 

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