2 Use the property to figure out if ABCD is a parallelogram. Show your work. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. M(3,-5) N (0,2) P (4,-1) T(7,-8) Based on the if - then statement, identify the concept and values used to prove OR disprove the quadrilateral is a parallelogram. If it IS a parallelogram make sure to also choose "Yes Parallelogram." If it's not a parallelogram, make sure to also choose "Not a parallelogram." Slope of the sides. –a nd - Distance of the sides. V58 and 5 Midpoint of the diagonals. (5, -3) Slope of the diagonals. 4 and - Not a parallelogram. Yes! Parallelogram Distance of the Diagonals. V17 and v149 O O00

Q: 3. Given ABCD is a parallelogram, find the value of x and y 5y-8 (бх-4) (3х-5) 27-2y

A:

Q: The rectangle whose vertices are A(0, 0), B(a, 0), C(a, b), and D(0, b) is shown. Use D (0, b) C (a,…

A:

Q: The vertices of quadrilateral LMNP are L(-1, 7), M(4, 9), N(8, -1), and P(3,-3). Using the distance…

A: We know that the distance formula between x1,y1 and x2,y2 is  d=x2-x12+y2-y12

Q: f quadrilateral ABCD is a parallelogram, find the value of y A 5y + 4 В 24

A:

Q: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = <-1, -5, -2> and QR = <3, 5, 1>. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: 19a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2).…

A: 19 a) Given A(2,0) B(3,4) C(-2,6) and D(-3,2) Show that the quadrilateral ABCD is a parallologram 19…

Q: Can you prove that the quadrilateral is a parallelogram based on the given information? Explain. 13.…

A:

Q: Triangle BCD with vertices B(4,4), C(8,14), and D(12,0): k=1/4

A: Given

Q: Find the area of the parallelogram whose vertices are given below.   ​A(−4​,2​)    ​B(1​,0​)…

A: Area of parallelogram

Q: The area of rectangle ABCD with vertices A(0,0),B(0,4),C(x,4) and D(x,0) is 28 square units. If x>0…

A:

Q: 4x 6x 8.

A:

Q: Suppose we have PQ and you construct the perpendicular bisector of PQ. Explain why the perpendicular…

A: Given statement is a theorem  " set of points lie on the perpendicular bisector of a line are…

Q: For any parallelogram, provethat the sum of the squares of the lengths of the sides equalsthe sum of…

A: I'm doing the question myself without using the hint.  Let PQRS be a parallelogram.  Let PQ, QR, RS…

Q: Darnell is cutting a piece of wood for a table top. He wants to be sure that it is in the shape of a…

A:

Q: 5. Which theorem makes the quadrilateral KLPQ a parallelogram for m = 14 and n = 12.5. %3D (5m +…

A:

Q: What is the best name for a quadrilateral at vertices (1, 4), (4, 0), (0, -3), and (-3, 1)? A.…

A: The coordinates of the quadrilateral are A(1, 4), B(4, 0), C(0, -3) and (D(-3, 1)

Q: 3. Prove whether or not this quadrilateral is a parallelogram. Show your calculations for the slope…

A:

Q: Quadrilateral SAFE is a parallelogram, if mzS=(x+15)° and mZF=75°, what is x? a. x= 40 b. x 50 C. X…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Suppose that ABCD is a parallelogram, and B= (2,b), A = (-1,1), C = (6,2), D = (a, -1) %3D %3D %3D…

A:

Q: 2. Quadrilateral PQRS has the following properties: a) Opposite sides are parallel and equal. b)…

A:

Q: RSTU is a parallelogram, If mzTSV = 31 and mzSVT = 126°, explain how you can find the measure of…

A: Given, RSTU is a parallelogram, ∠TSV=31∘ , ∠SVT=126∘.

Q: Michael plots and connects the following points: A(-4,6), B(1,5), C(0,0), and D(-5,1).

A: Solution: The objective is to determine which best describes the quadrilateral formed?

Q: 7. Which characteristics will NOT prove that quadrilateral PQRS, drawn in a coordinate plane, is a…

A: Given, Parallelogram PQRS Solution :D  In option D we have given the only  length are equal which…

Q: Use any method to determine whether the quadrilateral is a parallelogram B(-2, -9), C(0, -5), D(6,…

A: Given Data: Point B: xB, yB=-2, -9 Point C: xC, yC=0, -5 Point D: xD, yD=6, -3 Point E: xE, yE=4, -7…

Q: 4. If the top and bottom buttons in the upholstery in this orange couch are connected, a perfectly…

A: Condition given: Top and bottom buttons in the upholstery are connected perfectly and they create a…

Q: 6. Prove that quadrilateral LEAP with the vertices L(-3,1), E(2,6), A(9,5) and P(4,0) is a…

A:

Q: You are given the problem below: "Given: Quadrilateral ABCD with A(-5, 0), B(4, 2), C(8, 5), D(-1,…

A:

Q: Use any method to determine whether the quadrilateral i D(-8, 1), E(-3, 6), F(7, 4), G(2, -1) * a…

A:

Q: 7) The quadrilateral at the right is a parallelogram. Find x. 61

A: In question 7 a quadrilateral ( parallelogram) is given.  It is asked to calculate the value of ∠x.

Q: 4. The coordinates of the vertices of a quadrilateral are P(1, 2), R(1, 4), S(3, 4) and 7(4, 2).

A: The coordinates of the vertices of a quadrilateral are P(1,2) , R(1,4) , S(3,4) and T(4,2) according…

Q: 6. Find the values of x and y so that ABCD will be a parallelogram. 24° (у — 10)° (y- 32° (4x)° O x…

A:

Q: A quadrilateral has the vertices D (-4, -1), E (0, -4), F (6.0) and G (0.4). Verify for each pair of…

A:

Q: Quadrilateral ABCD has vertices A (1, -1), B (7, 1), C (8, -2) and D (2, -4). Determine whether ABCD…

A: A rectangle is a four-sided polygon, having all the internal angles 90o, the opposite sides of the…

Q: C. Given <1 <2 Prove: ABCD is a parallelogram <3 <4

A:

Q: 10 6 4 Bo a C 2 -2 -2 2 4 8. 10 12 6 A,

A:

Q: The corners for a fence are located at A (7,4), B (1,4), C (3,10), and D (5,10). Which of the…

A: We can find shape by draw on xy plane  OR another way to check lengths of line of points A B C D And…

Q: 6. Can you prove this quadrilateral is a parallelogram? F 102 76 76 Choose

A:

Q: 5. Can you prove this quadrilateral is a parallelogram? E 4 4 Choose

A: Given a quadrilateral with one pair of opposite sides are parallel and congruent. We are asked to…

Q: 5(b) Given a parallelogram ABCD with points M and N that trisect the diagonal [BD] (see diagram…

A: A figure is shown M and N trisect diagonal BD

Q: The vertices of a quadrilateral are G(4, - 1), O(0, 0), L(2, 6), and D(6, 5). Show that…

A: Given: The vertices of a quadrilateral GOLD          G4,-1O0,0L2,6D6,5…

Q: 5 4 3 -6 -5 -4 -3 -2 -1 -1 2 3 4 5 6 1 РЗ, -2) Q(5, -2) -2 -3 T(2, -4) -4 R(6 4) -5 S(4, -5)

A: Here we find the perimeter of pentagon from graph using help of distance formula.

Q: c) Please read carefully and answer the questions. Quadrilateral RSTU has vertices R (1, 3), S (4,…

A:

Q: Complete the explanation to prove or disprove each statement about the quadrilateral determined by…

A: Given Quadrilateral WXYZ has points (-7,0),(0,0),(0,-5),(-7,-5).

Q: What is the most precise name for quadrilateral ABCD with vertices A(-2, 4), B(3, 4), C(6, 0), and…

A: We can answer the question as below.

Q: Show whether or not the diagonals of parallelogram ABCD bisect each other given A(-2,2), B(1,4),…

A: The vertices of the parallelogram are given  A(-2, 2) B(1, 4) C(2, 8) D(-1, 6)

Q: 5. Decide whether the parallelogram is a rhombus, a rectangle, or a square. Explain. 1.

A:

Q: The vertices of quadrilateral PQRS form a square P(0, 0), Q(4, 3), R(7, -1) and S(3, -4). Use…

A: locating the points on the graph we get

Q: 5. Sandra uses straight lines to join points A(6,8), B(9,4),C(1,-2), and D(-2,2) to form a…

A: From the given data we have to find the perimeter as shown below.

Q: 5. V. 3. STUV is a parallelogram. What must be true for SU and TV in order for STUV to be a square?

A: Applying square property we have

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.