Posted by **Anna** on Tuesday, January 8, 2013 at 9:10pm.

The coordinates for a rhombus are given as (2a, 0), (0, 2b), (–2a, 0), and (0, –2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry. Be sure to include the formulas.

- geometry -
**Bobé Phett**, Tuesday, January 15, 2013 at 11:38am
Using the diagram and connecting the dots. The top horizontal line segment is y=b and the segment is the distance of the endpoints which is a-(-a) = 2a, the same goes for the bottom horizontal segment. The bottom is y=-b The vertical segments on the left and right would be x=-a (left side) and x=a on the right. The distance from the endpoints is b-(-b)=2b

So the rectangle formed has the dimensions of 2a X 2b

Since the lines are horizontal and vertical they form 90 degrees angles where they intersect. A characteristic of rectangle.

## Answer This Question

## Related Questions

- geometry - Given: QRST is a parallelogram. Prove: QRST is a square. Complete ...
- geometry - Which of the following statements is not always true? A. In a rhombus...
- Geometry - Given: ABCD is a parallelogram; <1 is congruent to <2 To Prove...
- GEOMETRY - If a diagnol for a rectangle ABCD was measured to be 20 and a square ...
- GEOMETRY - If a diagnol for a rectangle ABCD was measured to be 20 and a square...
- geometry - The coordinates of triangle ABC areA(0,0), B(2,6), and C(4,2). Using ...
- geometry - The coordinates of triangle ABC areA(0,0), B(2,6), and C(4,2). Using ...
- Geometry - Consecutive sides of a rhombus measure 2x + 15 and 4x - 5. What is ...
- geometry - The sides of a rhombus with angle of 60° are 6 inches. Find the area ...
- geometry theorems - I have six questions which will be on a test two weeks from ...

More Related Questions