geometry
posted by Anna .
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
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.
Respond to this Question
Similar Questions

Geometry
Given: ABCD is a parallelogram; <1 is congruent to <2 To Prove: ABCD is a Rhombus Plan: Show <2 is congruent to < CAB. hence CB is congruent to AB, making ABCD a parallelogram with consecutive sides congruent PROOF Statements … 
GEOMETRY
If a diagnol for a rectangle ABCD was measured to be 20 and a square was put in it slanted(looking like a rhombus). This rhombus is called EFGH. Prove find the perimeter of EFGH. (IT IS EASIER TO DRAW IT THEN SOLVE IT =)) 
GEOMETRY
If a diagnol for a rectangle ABCD was measured to be 20 and a square was put in it slanted(looking like a rhombus). This rhombus is called EFGH. Prove find the perimeter of EFGH. (IT IS EASIER TO DRAW IT THEN SOLVE IT =)) 
geometry
The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus. 
Geometry
Consecutive sides of a rhombus measure 2x + 15 and 4x  5. What is the perimeter of the rhombus? 
geometry
Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right angle … 
geometry
The coordinates of triangle ABC areA(0,0), B(2,6), and C(4,2). Using coordinates geometry; prove that, if the midpoints of sides AB and AC are joined, the segment formed is parallel to the third side and equal to one half the length … 
geometry
The coordinates of triangle ABC areA(0,0), B(2,6), and C(4,2). Using coordinates geometry; prove that, if the midpoints of sides AB and AC are joined, the segment formed is parallel to the third side and equal to one half the length … 
geometry
Which of the following statements is not always true? 
Geometry
Full Question: The coordinates for a rhombus are given (2a, 0), (0, 2b), (2a, 0), (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 …