) Prove for any quadrilateral ABCD, the following are equivalent: ) ABCD is a parallelogram; (B) AB lI CD and AB = CD; (C)

Q: In the figure, QN¯¯¯¯¯¯¯¯ is the perpendicular bisector of LM¯¯¯¯¯¯¯¯¯.Which of the following can be…

A: Introduction: Congruency is a very significant property of a triangle. Two triangles are referred to…

Q: A two-column proof can be used to demonstrate that a diagonal splits a parallelogram into two…

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Q: Determine what additional pair of corresponding parts must be congruent to prove that the two…

A: We are given the following figure :

Q: The definition of a rhombus is a quadrilateral that has four congruent sides. O True O False

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Q: 5A. In quadrilateral ABCD, ∠B=∠D, ∠B= (2x+5)°, ∠A=3x and x=35°, prove that ABCD is a parallelogram.

A: We need to prove that ABCD is parallelogram.

Q: Generally when a diagonal is constructed in a quadrilateral during a proof, two triangles are proven…

A:

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

A: The given triangle JKLM is,

Q: Lauren made the plan shown for proving that quadrilateral ABC D with AB = CD and BC = DA is a…

A:

Q: 2. Prove that if the Fermat-Torricelli point of an acute triangle ABC coincides with the incenter,…

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Q: What is a possible method for proving a quadrilateral is a parallelogram? a) Show diagonals are…

A: The option d) Show midpoints of diagonals are congruent. is correct.     A quadrilateral is a…

Q: . In quadrilateral ABCD,∠1=∠2 and ∠B=∠D.  Prove that ABCD is a parallelogram. Use two-column proof.

A: To prove that ABCD is parallelogram. It is sufficient to prove opposite sides are equal and parallel…

Q: Lauren made the plan shown for proving that quadrilateral ABCD with AB = CD and BC = DA is a…

A:

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

A: Given ABCD is a quadrilateral

Q: In quadrilateral RSTU, RT and SU intersect at point M, so that RM TM and RS is parallel to TU. Which…

A:

Q: Given: Rhombus ABCD with diagonals AC and BD intersecting at point E Complete the table to prove…

A: The rhombus is a quadrilateral with all sides equal in length. The diagonals of a rhombus are angles…

Q: Consider parallelogram ABCD. A B E How can it be proven that the diagonals bisect each other? Drag…

A: ABCD is an parallelogram.

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: 7. If the coordinates of quadrilateral ABCD are A(3, 5), B(7, 6), C(6, 2) and D(2, 1), proveABCD is…

A: Given: Quadrilateral ABCD with vertices A(3,5), B(7,6), C(6,2), D(2,1)

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

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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 vertices of quadrilateral KAIT are K(0,0), A(a, 0), I(a + b, c), and T(b, c). Use coordinate…

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

Q: 1. Does the SAS method of proving congruence work for quadrilaterals? That is, if two quadrilaterals…

A: Check SAS method for proving congruence work for quadrilaterals.   Consider two quadrilaterals ABCD…

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: Determine what additional pair of corresponding parts must be congruent to prove that the two…

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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: 1. Prove Theorem 3.2.1: If the diagonals of a quadrilateral bisect each other, then the…

A: Conditions when we can say any quadrilateral is a parallelogram : If one pair of opposite sides are…

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: Given the quadrilateral RSTU with vertices R(5, -3), 5(9, 0), 7(3, 8),and U(-l, 5). a. Show that…

A: Given; Vertices of Quadrilateral R5,-3, S9,0, T3,8, U-1,5 The distance between the vertices R and S…

Q: 2 Prove that a quadrilateral with the vertices A(-2,3), B(2,6), C(7,6) and D(3,3) is a rhombus. IB

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Q: 2. Show that a quadrilateral whose opposite sides are equal is a paral- lelogram, but that the…

A: All side of quadrilateral are equal and opposite side of parallelogram are equal. see 2nd step.

Q: 1 The diagram below shows the construction of AB ( through point P parallel to CD. P B C Which…

A: First we need to recognize the angles which are used in construction and then opt for the respective…

Q: Prove that a parallelogram is a rhombus, a parallelogram with four equal sides, if and only if its…

A: Given : ABCD is a parallelogram              AB≅BC              AC⊥BD Prove : ABCD is a rhombus

Q: Prove that when the midpoints of consecutive sides of a quadrilateral are joined in order, the…

A: To prove: When the midpoints of consecutive sides of a quadrilateral are joined in order, the…

Q: In quadrilateral ABCD,∠1=∠2 and ∠B=∠D.  Prove that ABCD is a parallelogram. Use two-column proof

A: In this question we have to proof that given quadrilateral is parallelogram.

Q: If the midpoints of the sides of an isosceles trapezoid are joined in order, then the quadrilateral…

A: In an isosceles trapezoid: One pair of sides are parallel. The other pair of sides are equal.…

Q: 12. Prove that if DABCD is a convex quadrilateral, then o (DABCD) < 360°. This is Venema exercise…

A: Given that ABCD is a convex quadrilateral then both pairs of opposite sides are semi parallel.  Now,…

Q: 1. A D C SAA Congruence Theorem

A: Given: ∠ABC≅∠DEF∠BCA≅∠EFD To Find: To determine what additional pair of corresponding parts must be…

Q: The segments joining the midpoints of consecutive sides of an isosceles trapezoid HOME form a…

A: Given that HOME is an isosceles trapezium, so HO||EM and HE≅OM(given). P, Q, R and S are the…

Q: If the lengths of the diagonals of a parallelogram are congruent, then you can prove it is a square…

A: Consider a parallelogram PQRS with diagonals PR and QS  congruent i.e.  Diagonals PR and QS  are…

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: ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and BC and AD are produced…

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Q: Prove analytically that the perpendicular bisector of the sides of a triangle are concurrent.

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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: 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: In order for a rhombus to be proven using either its sides or angels, it must first be proven to be…

A: given a statement related to rhombus

Q: Suppose that A, B, C, D and A′, B′, C′, D′ (in those orders) form the vertices of convex…

A: Consider the given: Given:AB=A'B'In a parallelogram, parallel sides have equal length.In…

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

A:

Q: Prove that if two pairs of opposite edges of a tetrahedron are perpendicular, then the third pair is…

A: Consider the tetrahedron  ABCD and let two pairs of opposite sides are perpendicular. Consider the…