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Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, −4b), and Z(−2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.

As part of the proof, find the midpoint of WZ

Given The coordinates of rhombus WXYZ are W0 4b X2a 0 Y0 4b and Z2a 0 Prove The segments joining the midpoints of a rhombus form a rectangle As part of the proo class=

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Answer:

-a,2b

Step-by-step explanation:

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Answer:

Option C

Step-by-step explanation:

In this question coordinates of rhombus WXYZ are given as W(0, 4b), X(2a, 0), Y(0, −4b), and Z(−2a, 0).

Now we have to find the coordinates of midpoint of WZ as part of the proof.

Since mid point of two points (x, y) and (x', y') is represented by

[tex](\frac{x+x'}{2}[/tex]  [tex]\frac{y+y'}{2})[/tex]

For midpoint of WZ,

[tex](\frac{0-2a}{2}[/tex]  [tex]\frac{4b+0}{2})[/tex]

= (-a, 2b)

Option C will be the answer.

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