Questions on Geometry: Parallelograms answered by real tutors!

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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)

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

Click here to see answer by josgarithmetic(39617)

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

Click here to see answer by math_tutor2020(3816)

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.
Click here to see answer by CPhill(1959)

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(52780)

Question 1209368: Sketch two noncongruent parallelograms ABCD and EFGH such that AC=EG and BD=FH.
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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 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
Click here to see answer by greenestamps(13200)

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(52780)

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 math_tutor2020(3816)

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
Click here to see answer by greenestamps(13200)

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)

Question 1205645: Determine the value of x in the parallelogram when
DG = 4x, EF = 5x - 6, DE = 3x + 2, GF = 2x + 8
x = [x}
Click here to see answer by math_tutor2020(3816)

Question 1205432: Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(4,5)
(1,-4)
(9,-6)

Click here to see answer by AnlytcPhil(1806)

Question 1205432: Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(4,5)
(1,-4)
(9,-6)

Click here to see answer by mccravyedwin(407)

Question 1205432: Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(4,5)
(1,-4)
(9,-6)

Click here to see answer by ikleyn(52780)

Question 1205413: A town map shows the location of its school (S), municipal hall (H), church (C), and market (M). When these places are combined they form the shape of an isosceles trapezoid with an area of 475 sq. meters. The school (S) is adjacent to the municipal hall (H) and diagonally across from the church (C) (Note: SH is one of the non-parallel sides). The school (S) is 16 meters away from the market (M) and the municipal hall (H) is 22 meters away from the church (C). Suppose your house (E) is opposite the school and located between the municipal hall and church, how far is it from the school? Provide Illustration, Working Equation, Solution, and Answer.
Click here to see answer by greenestamps(13200)

Question 1205403: A town map shows the location of its school (S), municipal hall (H), church (C), and market (M). When these places are combined they form the shape of an isosceles trapezoid with an area of 475 sq. meters. The school (S) is adjacent to the municipal hall (H) and diagonally across to the church (C) (Note: SH is one of the non-parallel sides). The school (S) is 16 meters away from the market (M) and the municipal hall (H) is 22 meters away from the church (C). Suppose your house (E) is opposite the school and located in between the municipal hall and church, then how far is it from the school? Provide Illustration, Working Equation, Solution, and Answer.
Click here to see answer by math_tutor2020(3816)

Question 1205402: A group of four Grade 9 students are to play a baseball game. Roughly, they create a baseball field in a diamond shape and represent each base as A, B, C, and D. AB and AD are the consecutive adjacent equal sides so as to BC and DC and AC ⊥ BD where BD = 24 meters. If the distance of points A to B is 13 meters while points B to C is 15 meters, find the area of the created baseball field. Provide Illustration, Working Equation, Solution, and Answer.

Click here to see answer by Theo(13342)

Question 1205315: With the lengths of 10 and 5 with a 55-degree angle between them; how many quadrilaterals can be made with such information?
Click here to see answer by ikleyn(52780)

Question 1205315: With the lengths of 10 and 5 with a 55-degree angle between them; how many quadrilaterals can be made with such information?
Click here to see answer by math_tutor2020(3816)

Question 1205315: With the lengths of 10 and 5 with a 55-degree angle between them; how many quadrilaterals can be made with such information?
Click here to see answer by greenestamps(13200)

Question 1204418: Find the area of the parallelogram with the following vertices:
1. (-2, 3), (5, 8), (3, 3), and (0, 8)
A. 16 sq units
B. 20 sq units
C. 34 sq units
D. 18 sq units
E. 25 sq units
F. 36 sq units
2. (-2, 7), (-4, 4), (-11, 4), and (-9, 7)
A. 15 sq units
B. 63 sq units
C. 28 sq units
D. 21 sq units
E. 36 sq units
F. 14 sq units
3. (-6, 6), (-6, 3), (-12, 3), and (-12, 6)
A. 36 sq units
B. 54 sq units
C. 15 sq units
D. -45 sq units
E. 18 sq units
F. 24 sq units
4. (12, -3), (5, -6), (5, -3), and (12, -6)
A. 21 sq units
B. -17 sq units
C. 50 sq units
D. 32.5 sq units
E. 42 sq units
F. 30 sq units´
5. (-2, 2), (-6, 9), (-13, 9), and (-9, 2)
A. 10 sq units
B. 25 sq units
C. -55 sq units
D. 64 sq units
E. 35 sq units
F. 49 sq units
Click here to see answer by math_tutor2020(3816)

Question 1203601: 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?
A. Both windows are squares
B. Both windows are pentagons
C. Both windows are rectangles
D. Both windows are rhombuses.
Click here to see answer by math_tutor2020(3816)

Question 1203482: the three vertices of a parallelogram are (1,3);(0,0);(4,0) Find the three possible locations of the fourth vortex
Click here to see answer by ikleyn(52780)

Question 1203482: the three vertices of a parallelogram are (1,3);(0,0);(4,0) Find the three possible locations of the fourth vortex
Click here to see answer by MathLover1(20849)

Question 1202080: Given: m < OHE = 4q
m < HER = 2q
Find: a) value of q
b) m < OHE
c) m < HER

Click here to see answer by greenestamps(13200)

Question 1202080: Given: m < OHE = 4q
m < HER = 2q
Find: a) value of q
b) m < OHE
c) m < HER

Click here to see answer by ikleyn(52780)

Question 1202080: Given: m < OHE = 4q
m < HER = 2q
Find: a) value of q
b) m < OHE
c) m < HER

Click here to see answer by mananth(16946)

Question 1201452: Give the genus of the object: A strainer
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Question 1201452: Give the genus of the object: A strainer
Click here to see answer by josgarithmetic(39617)

Question 1201451: The shape of a barbeque pit is like a parallelogram with the height of 54 in and a base of 60 in. It cost $0.20 per ft2 to fill the pit with charcoals. How is the total cost
Click here to see answer by ikleyn(52780)

Question 1201336: find the measure of the four angles of parrallelogram next if m
Click here to see answer by greenestamps(13200)

Question 1200930: Two consecutive angles of a parallelogram are in the ratio 43:47. How many degrees are there in each angle of the parallelogram?
Click here to see answer by ikleyn(52780)

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