The diagonals of DABCD (not shown) are perpendicular. If one diagonal has a length of 10 and the other diagonal has a length of 24, find the perimeter of the parallelogram.

Q: Given quadrilateral ABCD in a parallelogram. Find the mLD.

A: Sum of interior angles of any quadrilateral is 360. For a parallelogram opposite interior angles are…

Q: The diagonals of a parallelogram are 14 meters and 16 meters and intersect at an angle of 60°. Find…

A: Given the diagonals of a parallelogram are 14 m and 16 m. Diagonals intersect at an angle of 60°.

Q: 15 If the quadrilateral is a parallelogram, find the missing measures. C CF = 10 FE = CE = F E *FD =…

A: We have given following values i.e. CD= 15  CG= 7  DE= 10 FD= 22  If Quadralaterial CDEF behaves as…

Q: If EC= 10 cm and AE = 3x- 5, for what value of x is ABCD a parallelogram? ABCD is a quadrilateral…

A: Given :  ABCD is a quadrilateral with BE = ED. BD and AC are the diagonals of quadrilateral ABCD. EC…

Q: A parallelogram must be a rectangle when its A diagonals are perpendicular B diagonals are congruent…

A: Given: A parallelogram  must be a rectangle when its diagonal A) diagonal are perpendicular…

Q: To prove that a given quadrilateral is a parallelogram, show that two pairs of opposite sides are…

A: Given: To prove that a given quadrilateral is a parallelogram, show that two pairs of opposite sides…

Q: One of the angles of a rhombus has a measure of 120. If the perimeter of the rhombus is 24, find the…

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Q: The diagonals of (not shown) are perpendicular. If one diagonal has a length of 10 and the other…

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Q: If the quadrilateral is a parallelogram, find the missing measures. Given PQ = 24, PS = 19, PR = 42,…

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Q: If the diagonals of a parallelogram and congruent, what can you conclude regarding the…

A: Geometry: Since the diagonals of a parallelogram bisect each other, BE and DE are congruent and AE…

Q: KL. К 7х - 2 L J 12х - 22 M

A: Given: Side KL= 7x-2 Side JM= 12x-22

Q: If ABCD is a parallelogram. AD = 14, EC = 11, MZABC = 64°, MZDAC = 71°. and mZBDC = 25 °, find each…

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Q: Given that AB = 3x + 2, BC = 4x + 1, and CD = 5x – 2, find the length of each side of DABCD.

A: Given that ABCD is parallelogram in which AB=3x+2, BC=4x+1 and CD=5x-2. To find the length of each…

Q: he sides of each triangle in order from shortest to longest A. Q В. M 44 61 54 46 C. AABC, with mLA…

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Q: Given parallelogram ABCD with A(-2, -2), B(1, 2), C(4, -2), and D(1, -6), select all of the…

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Q: ABCD is a parallelogram, ABCD is a parallelogram, if AO = 3, BO = 4 AB = 6, AC + BD = ?

A: Diagonal of parallelogram bisect each other. It means AO=OC and BO = OD

Q: If the diagonals of a quadrilateral are congruent and perpendicular, mustthe quadrilateral be a…

A: The diagonals of the quadrilateral are congruent and perpendicular.

Q: Show that the opposite angles of a parallelogram are equal.

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Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 9 and…

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Q: If the sides of the parallelogram and an included angle 8m, 12m and 120, respectively. Find the…

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Q: A quadrilateral with both pairs of opposite angles congruent is a_____

A: Given statement is "A quadrilateral with both pairs of opposite angles congruent."

Q: A parallelogram with congruent diagonals is a rectangle. O True O False

A: To explain the given statement

Q: The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what…

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Q: Given quadrilateral ABCD in a parallelogram. Find the mLD- D C (5.x-22)° (2x+35)° A В

A: ABCD is parallelogram then opposite angle are equal and ABCD is quadrila

Q: If ABCD is a parallelogram, AD = 14, EC = 11. m/ABC = 64°, MZDAC = 71°, and mZBDC = 25°. find each…

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Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. If the length of diagonal AC is 12, what is the…

A: Using the given information, draw a rhombus and label it. In a rhombus, the diagonals are…

Q: Points A, B, and C are three consecutive vertices of a regular decagonwhose sides are 16 cm long.…

A: In a triangle ABC, c=a2+b2-2ab cosθA regular polygon having n sides,The sum of its interoir angle is…

Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

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Q: If ABCD is a parallelogram, AD = 14, EC 11, MZABC 64°, MZDAC = 71°, and MZBDC = 25 , find each…

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Q: A cyclic quadrilateral ABCD is inscribed in a circle whose sides AB-10cm, BC-20cm, CD-30cm and…

A: By Ptolemy's theorem,  We know that, in a cyclic quadrilateral, the sum of product of the two pairs…

Q: (b) For which quadrilaterals do the diagonals bisect each other and have the same length?

A: Quadrilateral: A quadrilateral is a shape with four sides. Examples of quadrilateral are: Square,…

Q: For which quadrilaterals do the diagonals bisect each other, have the same length, and intersect at…

A: The geometrical figure that has four sides is called the quadrilateral. The rectangle, square,…

Q: The diagonals of □ABCD (not shown) are perpendicular. If one diagonal has a length of 10 and the…

A: Given, Diagonal of parallelogram are perpendicular Length of one diagonal = a = 10 Length of other…

Q: If CDEF is a parallelogram, find the measure of angle FCD. C (10x-23)° (5х—7)° F |

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Q: Given: A quadrilateral is a parallelogram Prove: The opposite sides of the quadrilateral are…

A: Given : A quadrilateral is a parallelogramFrom the definition of parallelogram , AB||CD ,…

Q: r x. R (3x + 5)° (9x – 17)° - 'T

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Q: . ABCD is a parallelogram, ABCD is a parallelogram, if AO = 3, BO = 4 AB = 6, AC + BD = ? %3D

A: Given data: The given length AO is AO=3 units. The given length BO is BO=4 units. A parallelogram is…

Q: If a quadrilateral is a parallelogram, then its diagonals a) bisect opposite angles. b) bisect each…

A: If a quadrilateral is a parallelogram, then its diagonals

Q: if the sides of the parallelogram and the includedangles are 8m, 12m, and 120 degrees, respectively.…

A: Given: Sides of the parallelogram and the included angles are 8m, 12m, and 120 degrees

Q: If the diagonals of a rhombus measure 30 cm. and 78 cm., what is the perimeter of the rhombus?

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Q: To prove that a given quadrilateral is a parallelogram, show that the diagonals bisect each other.…

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Q: The diagonals of a parallelogram are 30 inches and 32 inches and intersect at an angle of…

A: Given : The diagonals of a parallelogram are 30 inches and 32 inches and intersect at an angle of…

Q: Given quadrilateral ABCD, find the values for x

A: It is given that , ABCD is a quadrilateral,  Here we have to find the values of x and y.

Q: If ABCD is a parallelogram. AD = 14, EC = 11, m/ABC = 64°, MZDAC 71°. and mZBDC 25 , find each…

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Q: 15 If the quadrilateral is a parallelogram, find the missing measures. D. CF %3D 10 FE= %3D CE %3D E…

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Q: If the diagonals of a rectangle are perpendicular, then the rectangle is a square.

A: Consider the given information as, If the diagonal of a rectangle are perpendicular, then the…

Q: A quadrilateral must be a parallelogram if one pair of opposite sides is: OA. congruent and the…

A: use property of triangle to prove the given problem

Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.

Q: m and an included a

A: Given : sides of a parallelogram and an included angle are 6, 10 and 100⁰. we have to find the…

Q: The following quadrilateral KLMN is a parallelogram. Complete each statement based on the picture.…

A: For a parallelogram: The opposite sides are parallel. The opposite sides are congruent. The…