In the diagram below, parallelogram ABC has diagonals AC and BD that intersect at point E.

Q: Find the angle between a diagonal of a cube and an ad­jacent edge.

A: Let the side of the cube is of length s. Let us take the side of thr cube to be vector<s,0,0>…

Q: Determine the are of a triangle formed by the given 7x+8y=69 and the coordinate axes x and y.

A:

Q: Parallelogram ABCD has diagonals AC and BD that intersect at point E as shown. Which of the…

A: Given that:

Q: The diagram shows the construction of the perpendicular bisector of AB. Which statement is NOT true?

A: Given, C is the mid point of AB  We have to identify the false statement.

Q: A D B C

A:

Q: . If a parallelogram has four equal sides and diagonals that are perpendicular to each other, then…

A: The objective is to find the suitable choice for the given question.

Q: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 11x - 3 and CE = 12- 4x.…

A:

Q: A figure is shown. Select the conditions, which alone, guarantee that figure ABCD is a…

A: The diagonals of a parallelogram bisect each other. Proof: Given ABCD, let the diagonals AC and BD…

Q: Figure CDEF is a parallelogram. What is r? 2r + 12 D 10r – 20/ 6r E

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Q: ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and BN intersect…

A:

Q: An octagon has ___ sides.

A: An octagon has ___ sides.

Q: 6. ABCD is a parallelogram with diagonals intersecting at E. If AE = 4x – 8 and EC 36, find x. В. 11…

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Q: In parallelogram ABCD  BC is parallel to AD;  BC = 3x -1, CD = 2x +1 and   AD = 4(x – 2). Find x.

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Q: II. Use coordinate geometry to prove that the diagonals of a rectangle. congruent. are

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Q: Find the area of the parallelogram that has two adjacent sides u = 5i + 4k and v i+2j + 2k

A: Area of parallelogram is obtained by the magnitude of cross product vectors of two adjacent sides.

Q: Consider the regular hexagon shown on the coordinate plane. (-2. 3.5) (2.3.5) (4,0) (4. 0) (-2,-3.5)…

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Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

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Q: Construct the perpendicular bisector of AB. A B

A: Take a compass and draw a random curve above line AB by fixing sharpen part of compass at the point…

Q: Figure MNPQ is a rhombus. Draw diagonals MP and QN and state how they are related

A: We have given information that   MNPQ is a rhombus    We have to draw diagonals MP and QN and…

Q: A 3. 2 D C -5 -4 -3 -2 -1 -1 1 2 3 4 5 -2 -3 -4 -5 4,

A: Explanation and solutions is given below....

Q: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 11r-3 and CE = 12- 4x. Find…

A:

Q: 12. Use one of the properties of paralelograms to prove ABCD is a parallelogram. A(0, 01 6-4 -2 -2…

A: In parallelogram ,opposite sides are congruent.

Q: 5. In the parallelogram RSTU, the diagonals RT and SU intersect at point W. T. If RW: 2x +2 and RT =…

A:

Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

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Q: es of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?

A:

Q: 6. In the diagram below, MATH is a rhombus with diagonals AH and MT. If MHAM = 12, what is .LAMT?

A:

Q: The diagonals of a parallelograms must have which characteristic? A. Congruent B. Parallel C.…

A: Properties of Parallelogram Related to Sides and Angles The four important properties of a…

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

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

Q: 4 -5 -4 -3 2-1 -1 1 2 -3 -4 -5 Enter the perimeter of parallelogram ABCD, in units. units D.

A: The figure is given by

Q: In the diagram of trapezoid ABCD below, diagonals AC and BD intersect at E and AABC = ADCB. C. D…

A:

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: Sketch the reflection of the triangle over the x-axis T 5- -10 -5 10 -5- LO

A:

Q: In rhombus ABCD, with diagonals AC and DB, AD- 1O. 6/ 10

A: Since we have been given that in rhombus ABCD, we have been given that the length of diagonal AC¯…

Q: The figure below is a parallelogram. W

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Q: C B. А- P.

A: From the diagram we can see that ∠CPB=90° but AP≠PB.

Q: In parallelogram ABCD, MLBAC = 23°, MZBCA = 42°, and AE = AD. The MZBDC is А B E D C (1) 46° (2)…

A:

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: The diagonals of parallelogram ABCD intersect at E. If EB= 8y – 7 and BD= 12y + 6 , find y. -

A: given  BE=8y-7             BD=12y+6            ∴ Diagonals of a parallelogram bisects each other…

Q: In triangle ABC. AB = 7 and BC = 7 . Write the theorem that allows you to conclude that B is on the…

A: Consider the triangle ABC with AB=7 and BC=7. Since AB=BC=7, So the triangle ABC would be an…

Q: C E A

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Q: Draw a diagram showing u, v, u + v, and u - v in R2 and use (a) to deduce a result about…

A:

Q: A figure is shown. Select the conditions, which alone, guarantee that figure ABCD is a…

A: We have to find the condition

Q: In the diagram below, a square is graphed in the coordinate Plane. A reflection over which line does…

A: A shape has reflection symmetry if there exists a line of reflection that carries the shape onto…

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: Give the coordinates of point A. A. OA. (5,2) OB. (2,5) C. (-2,-5) D. (-5,-2) X A

A: To find the coordinates of the given point A in the graph.

Q: In parallelogram ABCD, diagonals AC and BD are drawn and intersect at E. AE = x² - 24 and EC = 2x.…

A: To find AC¯.

Q: The origin of a coordinate grid is labeled A. Line segment AB forms an angle of 30° with the x-axis.…

A: find the components

Q: An angle in a rectangular coordinate system is in standard position if its vertex is at the________…

A: To fill in the given blanks.

Q: A figure is shown. Select the conditions, which alone, guarantee that figure ABCD is a…

A: The figure shows that:

Q: ABCD is a rhombus. ABC=140°, and AB= 20 cm. Calculate (a) AC (b) ACB

A: