ABCD is a quadrilateral in which P and Q are the mid points of the diagonals AC and BD respectively. Show that AB + AD + CB + CD = 4 PQ

Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x + 13)° (4y + 7)° (3x-…

A:

Q: in the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

A: In the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

Q: Consider the following quadrilateral with diagonal AC and from which it is known that AB || CD and…

A: Given that AB∥CD , AD∥BC AC is diagonal  Now, we know that ∠A+∠B+∠C+∠D=360° ∠A+∠B=180° ∠D+∠C=180°…

Q: a) Are any two quadrilaterals similar? b) Are any two squares similar?

A: Similar figures are figures with same shape but size may not be necessarily same.

Q: Let the line DE be a line parallel to the base BC of triangle ABC. Show that if the line AF divides…

A: Given,DE∥BCAF bisects BCLet intersection of AF with DE be 'x'

Q: ABCD is a quadrilateral such that AB =b.AD = d, AC =mb+pd. Show that the area of the quadrilateral…

A:

Q: To construct the square ABCD with the diagonal BD as shown, begin by constructing the…

A:

Q: Which information does not prove that quad. ABCD is a parallelogram? b. AD | BC; AD = BC a. AC and…

A: (a) If AC¯ and BD¯ bisect each other, then ABCD is a parallelogram.  (b) If AD¯∥BC;AD≅BC, then ABCD…

Q: Construct a quadrilateral ABCD in which AB = 5cm, BC = 4cm, CD = 5cm and diagonals BD = AC = 6.5cm.

A: Given:  a quadrilateral ABCD in which AB = 5cm, BC = 4cm, CD = 5cm and diagonals BD = AC = 6.5cm

Q: The diagonals of parallelogram ABCD intersect at P. Which statements must be true?

A:

Q: 3. Juan used the theorem that states "the diagonals of a parallelogram bisect each other" to…

A: 1st option is correct.   Diagonals of parallelogram are AC and BD . O is the point of intersection…

Q: B. 1. Given: Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E. Prove…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: AC and D8 are diagonals of the quadrilateral ABCD AO-OC, 80-OD. Prove ABCD is a parallelogram.

A:

Q: Find the value of v that makes quadrilateral CDEF a parallelogram. E 2v+76° 6v C V

A:

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, LB = LF, BC = FG, and LC = ZG? b) ZA =…

A: To check the quadrilaterals are congruent.

Q: The diagonals of rectangle QRST intersect at P. Given that m/PTS = 34° and QS = 10 , find RP. %3D…

A: We are given with diagonals in a rectangle and measure of the side and the angle of the diagonal and…

Q: Given: ABCD is a rhombus and AACB ADBC. Prove: ABCD is a square.

A: Prove that the given rhombus is a square

Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

A:

Q: Prove that the diagonals of an isosceles trapezoid are congruer D(c, b) C(a-c, b) b A( 0,0) В (а, о)

A: A plane figure formed by three or more non-collinear points joined by line segments is called a…

Q: If a parallelogram is a rectangle, then its diagonals are a) perpendicular. b) congruent. c) none of…

A: diagonals are ?

Q: ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is equal and parallel to BC.…

A: I hope you are asking for question 6. We solve the given problem using congruent triangles. SAS…

Q: Find the length of segment AO: * ZO, YO, and XO are the perpendicular bisectors of AABC. A 7.4 X 3.4…

A: answer is AO = 8.14   explanation is given in below step

Q: Prove that if the diagonals of a quadrilateral ABCD bisect each other, then ABCD is a parallelogram.

A: Here given that diagonals of quadrilateral bisect each other and we need to prove that the…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sebment…

A:

Q: . Prove that the figure with the coordinates given is a parallelogram. (Use diagonals bisect each…

A: Note : A &amp; C are diagonally opposite points  And, B &amp; D are diagonally opposite points.

Q: Consider rectangle RSTU, where the diagonals of the rectangle intersect at point W. R S W U If RW =…

A: Option D is correct In rectangle diagonal bisect each other.  So 5x-10=3x+6 2x=16 X= 8 So RW=…

Q: ABCD is a quadrilateral and G, H are the middle points of AC, DB. If CB, DA are produced to meet in…

A:

Q: Consider the following quadrilateral with diagonals AC y DB that intersect at point E, furthermore,…

A: Using ASA criteria we can solve this

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, BC = FG, CD = GH, and AD = EH? b) AB =…

A: We are given two quadrilaterals ABCD and EFGH.We have to  check the congruency of two quadrilaterals…

Q: 17. Sketch RSTU, with diagonals intersecting at M. RS = 9, ST = 20, and RM = 11. Which segment is…

A: We need to sketch figure.

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: Prove that the diagonals on the parallelogram in the figure intersect at their midpoints. (b, c)…

A: let A=(b, c) B=( a+b , c) D=(0,0) C=(a,0)

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: In rhombus ABCD., diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the…

A: In Rhombus ABCD  diagonals AC and BD intersect at the point E.AE=5cm and BE=12 cm To find the length…

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: Given: ABCD is a parallelogram and AABC S ADCB. Prove: AB 1 BC.

A: ABCD is a parallelogram in which the triangles ABC and DCB are congruent. We need to prove that the…

Q: Select the conditions, which alone, guarantee that figure ABCD is a parallelogram. AB || DC and BC…

A: Parallelogram is a kind of quadrilateral with two pairs of opposite sides. In a parallelogram, the…

Q: For quadrilateral ABCD, AC and BD are diagonals. Also, AB 1 BD, AC 1 CD, and CF 1 BD. Give the…

A: Given: In the figure  ABCD is a quadrilateral with AC and BD diagonals and AB⊥BD, AC⊥CD, CF⊥BD, To…

Q: 44. Prove: The diagonals of an isosceles trapezoid are congruent.

A:

Q: ABCD is a parallelogram. If AB = 9x + 27, BC = 6x+ 12 and DA = -2x + 36, find both x and the length…

A: Given : ABCD is a parallelogram. AB = 9x+27BC = 6x+12DA = -2x+36

Q: Identify the given parts of quadrilateral ABCD. 1. AD, BC A 2. AC, BD en 3. ZADC, ZABC 4. AD, AB 5.…

A: Since D and B are opposite vertices. Therfore, the given angles are opposite angles.

Q: If PT = 2v - 11 and RT = 7v - 71, find the value of v that makes quadrilateral PQRS a parallelogram.…

A: Parallelogram:- a parallelogram is a quadrilateral with two pairs of parallel sides. The opposite…

Q: 14 12 10 PARK 4. 2. 2. 10 12 14 00

A: By using the opposite sides parallel and conjugate theorem we show that the polygon which represent…

Q: Are quadrilaterals A B E F ABCD and EFGH congruent a) if both are squares and AB = EF? b) if each is…

A: Given:

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

A:

Q: In the coordinate plane, quadrilateral ABCD has vertices A(-2, 3), B(4, 5), C(10, -1), and D(8, -9).…

A: The mid-point joining the points x1,y1 and x2,y2 is represented as x1+x22,y1+y22.

Q: Prove: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

A: Statement: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Q: Which statement proves that quadrilateral UWXY is a parallelogram? Diagonals UX and WY bisect each…

A: Diagonals of a parallelogram bisect each other and may or may not be perpendicular The opposite…

Q: ABCD is a quadrilateral with AB = x, CD = 2ỷ, and AC = 33 – ỷ. Express - BD and BC in terms of x and…

A:

Q: On the sides of a triangle ABC, squares ABDE, ACFG, BCJK are constructed externally to it. BF, AJ,…

A: