Questions on Geometry: Parallelograms answered by real tutors!

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Question 1205862: Below was a school assessment question:
"There are two windows in Elana's bedroom, each of which has four
right angles. One of her windows has four congruent sides.
The other window contains two pairs of opposite sides that are equal,
but all four sides are not congruent. Which statement about Elana's
windows is true?
1). Both windows are squares.
2). Both windows are pentagons.
3). Both windows are rectangles.
4). Both windows are rhombuses.
Please explain why which answer is correct.

Click here to see answer by MathLover1(20849) About Me 

Question 1206736: what is the area of the largest semi-circle which can be inscribed within rhombus abcd with edge length 2 cm if the measure of angle a is 60 degrees
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Question 1208799: ABCD is a quadrilateral. If diagonals AC and BD bisect each other, then prove that ABCD is a parallelogram.
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Question 1208799: ABCD is a quadrilateral. If diagonals AC and BD bisect each other, then prove that ABCD is a parallelogram.
Click here to see answer by ikleyn(52775) About Me 

Question 1209159: In the diagram, ABCG is a parallelogram, and BF = 18 cm, FE = 6 cm. Find the length, in cm, of ED.
https://ibb.co/GCZMVZF

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Question 1209346: David wants to add one more dot to the diagram below so that the four dots form the four vertices of a parallelogram. If A = (3,4), B = (4,-1), C = (6,8), then where should D be to form parallelogram ABCD?
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Question 1209368: Sketch two noncongruent parallelograms ABCD and EFGH such that AC=EG and BD=FH.
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Question 1209518: (36) PQRS is a rhombus, W is the midpoint of PQ, T is the midpoint of PS and V is the intersection point of QT and SW. What fraction of rhombus PQRS is quadrilateral PWVT?
Link to diagram: https://ibb.co/PsrxgPwG

Click here to see answer by CPhill(1959) About Me 
Question 1209518: (36) PQRS is a rhombus, W is the midpoint of PQ, T is the midpoint of PS and V is the intersection point of QT and SW. What fraction of rhombus PQRS is quadrilateral PWVT?
Link to diagram: https://ibb.co/PsrxgPwG

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Question 1209518: (36) PQRS is a rhombus, W is the midpoint of PQ, T is the midpoint of PS and V is the intersection point of QT and SW. What fraction of rhombus PQRS is quadrilateral PWVT?
Link to diagram: https://ibb.co/PsrxgPwG

Click here to see answer by greenestamps(13198) About Me 
Question 1209518: (36) PQRS is a rhombus, W is the midpoint of PQ, T is the midpoint of PS and V is the intersection point of QT and SW. What fraction of rhombus PQRS is quadrilateral PWVT?
Link to diagram: https://ibb.co/PsrxgPwG

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1209518: (36) PQRS is a rhombus, W is the midpoint of PQ, T is the midpoint of PS and V is the intersection point of QT and SW. What fraction of rhombus PQRS is quadrilateral PWVT?
Link to diagram: https://ibb.co/PsrxgPwG

Click here to see answer by ikleyn(52775) About Me 

Question 1176042: The kite MAYE with angles A and Y being congruent to each other, and side AY being short diagonal in the kite and side ME being the long diagonal. Angle M = ((1.618)(3.14)) and Angle Y = (12u + u/2). Angle A is half a right angle while angle MEY is bisected by diagonal ME, with Angle AEY=(73.588u). Find the value of u, and the measurements of M, Y and AEY.
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Question 1209956: The hypotenuse of an iscosceles right trapezoid measures 7cm . How long is each leg ?

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Question 1209956: The hypotenuse of an iscosceles right trapezoid measures 7cm . How long is each leg ?

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Question 1210178: Two congruent rhombi share the point of intersection of their diagonals. The shorter diagonals are perpendicular to each other. Prove that the line joining the point of intersection of the diagonals and the midpoint of a side of one rhombus is perpendicular to a side of the other rhombus.
show the diagram please

Click here to see answer by CPhill(1959) About Me