6.1 Quadrilateral ABCD is a parallelogram. A Use the sketch to prove the following theorem: "The diagonals of a parallelogram bisects each other."

Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: IN a K MN is a quadrilateral with K = M and L e that: V\ %3D lelogram

A: Given:- Sumof angles of a quadrilateral is 360°.∠K = ∠M = x ∠L =  ∠N = y

Q: 3. a) Identify each quadrilateral as specifically as possible.

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

A: Given a parallelogram ABCD with diagonals AC and BD intersecting at E.

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: Determine whether the quadrilateral is a parallelogram. If yes, identify which theorem you used to…

A: properties of parallelogram:- a)two pairs of opposite sides parallel. . b)two pairs of opposite…

Q: Identify the shape as specifically as possible based on the description below: A quadrilateral…

A: A quadrilateral where all sides are congruent.

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: 14a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0) * B * (3, 4) , C(- 2, 6) and D(-…

A: Explanation of the solution is given below...

Q: Which of the following would show that the diagonals of quadrilateral JKLM on the coordinate plane…

A: The given triangle JKLM is,

Q: 4. Given AM CM and BM DM Prove ABCD is a parallelogram. A B (Prove each opposite sides are congruent…

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Q: x + 2y 2x + 2y 7x+8y 5x +9y

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Q: Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments…

A: Let ABCD be a quadrilateral.

Q: 15. Which of these is a cyclic quadrilateral? A B C D

A: Sum of opposite angles are 180° in a Cyclic quadrilateral.

Q: allelogram tion to prove each quadrilateral is a parallelogram? Explain. 2. 12 11

A: Parallelogram:- opposite side are parallel and equal.

Q: Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments…

A: Given ABCD is a quadrilateral

Q: 7. Find the area of the quadrilateral if AB = 4, BC = 13, AD = 3, CD = 12, and AB is perpendicular…

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Q: Which of these is a cyclic quadrilateral? A В D

A: Given ,  We have to check which is cyclic quadrilateral

Q: Is there enough information to prove each quadrilateral is a parallelogram? Explain. 1. 2. 12 11 3.…

A: Geometry Question

Q: Find the value of x that makes the quadrilateral a parallelogram. Зх + 5 5х - 9

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Q: 4. Construct the perpendicular bisector of this segment.

A: Given problem:-

Q: 2. A semicircle will be drawn with the unknown side of a triangular lot as its diameter. Calculate…

A: Perimeter of the above image = ?

Q: 2. Let ABCD be a quadrilateral. Let E, F, G, and H be the midpoints of its sides (as shown). Assume…

A: We have to use the Midpoint theorem:  "The line segment in a triangle joining the midpoint of two…

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

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Q: 1. Can you prove this quadrilateral is a parallelogram? A

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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: Consider a quadrilateral with vertices D(0, 0), J(5, 5), N(8, 4), and G(7, 1). Determine the most…

A: We have to draw the given quadrilateral also find the type.

Q: A quadrilateral has vertices A = (0, 0), B = (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

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Q: The diagonal of a parallelogram divides it into two congruent triangles. True False

A: Given statement is true, The diagonal of a parallelogram divides it into two congruent triangles.…

Q: paragraph proof please!

A: Given: Points P, Q, R and S are the mid-points of sides of isosceles trapezium ABCD with AB || CD…

Q: Which of the following quadrilaterals can make a regular tessellation?

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Q: 8. Can you prove this quadrilateral is a parallelogram? H.

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Q: 12. What information is needed to prove that CD is a perpendicular bisector for KM K L M D

A: We need to prove CD is a perpendicular bisector for KM. if CD is a perpendicular bisector for KM,…

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: 15) Given: AE =CD;ZDBC = ZC;ZA=ZDBC Prove: Quadrilateral ABDE is a parallelogram. STATEMENTS A B…

A: Given: ∠DBC=∠C , ∠A=∠DBC , AE=CD To prove: ABDE is a parallelogram.

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

A: Given: The coordinates of the quadrilateral are: A=2,0B=3,4C=-2,6D=-3,2 To Prove: ABCD is a…

Q: 19. a. Complete this statement of Theorem 8-5: If the square of the longest side of a triangle ?. b.…

A: If the square of the longest side of a triangle is equal to the sum of the squares of the other two…

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: 6. Which of the following is TRUE for the given quadrilateral?

A:

Q: 9. Let ABCD be any quadrilateral. Denote the midpoints of the sides by E, F, G, and H. Prove that…

A: use the property of parallel lines and midpoint theorem to prove EFGH is parallelegram

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: 3. A diagonal is constructed inside Quadrilateral ABDE. Find the length of the diagonal. Insert…

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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: 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: 15) Given: AE =CD;ZDBC = ZC;ZA=ZDBC Prove: Quadrilateral ABDE is a parallelogram.

A: Given: ∠DBC=∠C , ∠A=∠DBC , AE=CD To prove: ABDE is a parallelogram

Q: 11. For what value of x is the quadrilateral a parallelogram?

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Q: A quadrilateral has vertices A = (0, 0), B= (2,4), C = (0,5), and D = (-2, 1). Prove ABCD is a…

A: Given :

Q: values of x and y that make the quadrilateral a parallelogram.

A: 17 in Parallelogram opposite angles are equal .

Q: Construct an equilateral triangle & a square from a wire of 100m together, such that their area is…

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Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

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