The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other Statement Reason ABCD is a rectangle. Given AB and CD are parallel. Definition of a Parallelogram AD and BC are parallel. Definition of a Parallelogram ZCAD LACB Alternate interior angles theorem Definition of a Parallelogram LADB LCBD Alternate interior angles theorem AADE ACBE Angle-Side-Angle (ASA) Postulate

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Q: ) Prove for any quadrilateral ABCD, the following are equivalent: ) ABCD is a parallelogram; (B) AB…

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Q: Given: Parallelogram ABCD Prove: AABC SACDA D Statements Reasons

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A: A pair of opposite side is parallel and congruent.  According to guidelines we solve only first…

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A: I The opposite sides a parallelogram are congruent. Answer- True II The opposite angles of…

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A: The reasons are:-

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Q: Use the diagonals to determine whether the parallelogram with the given would be a rectangle. ty…

A: Given The coordinates of vertices of parallelogram are A0,2, B3,6, C8,6 and D5,2.  The formula for…

Q: diagonals are congruent I need to complete the proof with the following reasons below Construction…

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Q: Which of the following is not true of a parallelogram? O ts opposite angles are congruent O Its…

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Q: Construct an equilateral quadrilateral in Euclidean Geometry? What can we say about the following?…

A: All the proofs for equilateral triangle are given below.

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Q: Which of the following conditions is not sufficient to prove that a quadrilateral is a…

A: topic - quadrilaterals

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Q: Which theorem justifies this method of construction? A If two lines in a plane are cut by a…

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Q: In ARST, SU is the perpendicular bisector of RT and U lies on RT. Which statement(s) must be true?…

A: GivenRST is traingle.SU is perpendicular bisector of RT

Q: Fill in the missing statement and reason of the proof below. Given: AABD ADCA and AD BC. Prove: ABCD…

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Q: 13. Which quadrilaterals always have diagonals that are congruent? 14. Which quadrilaterals always…

A: according to our terms and condition i have solved first 3 question for next question repost

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A: To fill the blanks

Q: Use the following diagram and information to complete the proof. Given: ABCD is a parallelogram with…

A: The given figure is:

Q: Write a two-column proof to show that if two consecutive sides of a parallelogram are congruent,…

A: Given that: ER≅RA and RAVE is a parallelogram.

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Q: Use the following diagram and information to complete the proof. Given: ABCD is a rectangle. Prove:…

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Q: In the proof below, one of the statements is XW = YZ. What is the reason for this statement? Given:…

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Q: Fill in the reasons to complete the following proof. Given: AB || DC, AB DOC Prove: M is the…

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Q: Prove that the angle bisectors of alternate interior angles are parallel. Given: AB II CD, CB is the…

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Q: Determine if the following statements are sometimes, always or never true. _1. A trapezoid is a…

A: Given: To determine the given statements are always, sometimes, or never true.

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A: Given, A parallelogram ABCD   Statement ∠BAD≅∠BCD , ∠ABC≅∠ADC  We have to find the condition from…

Q: Given: Quadrilateral PQRS with PQ || RS and PQ = RS. R. Hector began a proof using the following…

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Q: 3. Given: AB || TD and ZA = ¿C Prove: ABCD is a parallelogram B Statement Reason

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

Q: Prove that segment AC bisects segment BD, and that segment BD bisects segment AC using the ASA…

A: Explanation: We will set up the statements in following order:

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A: Explained below

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Q: Given: ABCD is a parallelogram, AC BD. Prove: ABCD is a rectangle. Statement Reason 1. ABCD is a…

A: Find your answer below

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A: Here is the solution

Q: 17. Complete the following proof. Given: WXYZ is a parallelogram. W X Y Prove: A XYZ EA ZWX…

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Q: A Geometry student at Beloved began working on the two-column proof below. Given: AC bisects DE…

A: Given: AC bisects DE.…

Q: C. The following are proofs of the properties of parallelograms. Supply the missing parts of the…

A: The given figure is  .

Q: Which theorem or property can you use to show that the quadrilateral shown below is a parallelogram?…

A: Given diagram is a quadrilateral and with help of theorem we need to prove that the given…