Question
A parallelogram $A B C D$ is shown in the figure.(A) Find the midpoint of the line segment joining $A$ and $C$.(B) Find the midpoint of the line segment joining $B$ and $D$.(C) What can you conclude about the diagonals of the parallelogram?
Step 1
Step 1: Let's denote the coordinates of points A, B, C, and D as $(x_1, y_1)$, $(x_2, y_2)$, $(x_3, y_3)$, and $(x_4, y_4)$ respectively. Show more…
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Key Concepts
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(a) Sketch the parallelogram with vertices $A(-7,-1)$ $B(4,3), C(7,8),$ and $D(-4,4)$ (b) Compute the midpoints of the diagonals $\overline{A C}$ and $\overline{B D}$ (c) What conclusion can you draw from part (b)?
Fundamentals
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(a) Sketch the parallelogram with vertices $A(-7,-1)$ $B(4,3), Q(7,8),$ and $D(-4,4).$ (b) Compute the midpoints of the diagonals $\overline{A C}$ and $\overline{B D}$. (c) What conclusion can you draw from part (b)?
(a) Sketch the parallelogram with vertices $A(-2,-1)$ $B(4,2), C(7,7),$ and $D(1,4) .$ (b) Find the midpoints of the diagonals of this parallelogram. (c) From part (b), show that the diagonals bisect each other.
Coordinates and Graph
The Coordinate Plane
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