In the given figure, quadrilateral ABCD is a rectangle, and quadrilateral ACED is a parallelogram. E B Ted claims that the two shaded triangles must be congruent. Is Ted's claim correct? Include all work and/or reasoning necessary to either prove the triangles congruent or to disprove Ted's claim.

Q: One pair of parallel sides proves a quadrilateral to be a parallelogram O True O False

A: The quadrilateral with one pair of parallel sides is a trapezoid, not a parallelogram. for a…

Q: Choose the correct answer below. A. AABC - AHKG by the SSS~ Theorem. O B. AABC ~ AHKG by the AA -…

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

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Q: State the theorem that proves that the pair of triangles are congruent. 2. 1. 3. 4. 5.

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Q: A quadrilateral is defined as a parallelogram if it has two pairs of parallel sides. True O False

A: Using property of parallelogram,

Q: If one pair of opposite sides in a quadrilateral is congruent, then the quadrilateral is a…

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Q: Which statement applies to these triangles: -these triangles must be congruent -these triangles…

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Q: a) Is it really necessary to construct all three bisectors of the angles of a triangle to locate its…

A: Given: a)  Is it really necessary to construct all three bisectors of the angles of a triangle to…

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Q: A figure is shown. Given: LA= MB, BL|| AM Which statement about quadrilateral LAMB is true? O…

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Q: With the information given in the drawings, which pair of triangles can be proven congruent by the…

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Q: Does the SAS Postulate justify that the two triangles congruent? are 1. 2. 3.

A: Given: To justify: The given triangles are congruent.

Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

Q: Based on the information given in the diagram, can you prove ABCD is a parallelogram C A O Yes, one…

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Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We can answer the question as below.

Q: For the given picture, EF is congruent to BC and AB is congruent to ED. Which postulate can be used…

A: # we are entitled to solve one question at a time. Please resubmit the other question if you wish to…

Q: What additional information would be necessary to prove that the two triangles, XBY and ZAY, are…

A: This is the required figure

Q: The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what…

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Q: Which quadrilaterals MUST be parallelograms? Use the markings provided as evidence. Select yes or…

A: Given

Q: Which method listed below would not be used to prove that two triangles are congruent?

A: We know that when all three sets of corresponding angles are congruent then triangles can be similar…

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: Which method can be used to prove that the triangles are congruent?

A: When two lines are intersecting then their opposite angle are equal by vertical opposite angle . Two…

Q: What additional information is required in order to know that the triangles are congruent for the…

A: Given,  11  ∆DEF   and  ∆XVW  12 ∆ABC   and  ∆XVW  13 ∆HKM   and  ∆KLM   We have to find the…

Q: What additional information would allow you to safely conclude that the quadrilateral below is a…

A: Given

Q: Based on the diagram and congruent marks, what would be a correct congruence statement and the most…

A: AAS stands for Angle-angle-side. When two angles and a non-included side of a triangle are equal to…

Q: of

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Q: Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain?…

A: Given:

Q: A kite is a quadrilateral with two pairs of adjacent congruent sides. O True O False

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Q: Are the triangles congruent by the HL Theorem? A

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Q: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

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Q: What additional information would allow you to safely conclude that the quadrilateral below is a…

A: Given

Q: Given: A quadrilateral is a parallelogram Prove: The opposite sides of the quadrilateral are…

A: Given : A quadrilateral is a parallelogramFrom the definition of parallelogram , AB||CD ,…

Q: If ANAP AMUG, determine which of parts (a) through (c), if any, are necessarily true. Explain why.…

A: (a) Yes  (b) No  (c) No.   The detailed solution is as follows below:

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

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Q: Decide which method, SAS, ASA, AAS, or HL, can be used to prove that the triangles are congruent.

A: Given figure, we have to decide which method can be used to prove that triangles are congruent.

Q: With the information given in the drawings, which pair of triangles can be proven congruent by the…

A: Solution: The objective is to determine which pair of triangles can be proven congruent by the…

Q: If both pairs of opposite angles are congruent in a quadrilateral, then the quadrilateral is a…

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Q: 4. Given: ABCD is a quadrilateral, BD bisects AC at X, and ZCAB = LACD Prove: ABCD is a…

A: Explained below

Q: If AABC is an isosceles triangle, which statement explains whether there is enough information to…

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Q: o prove that a given quadrilateral is a parallelogram, show at least one pair of opposite angles is…

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Q: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

A: The correct option is 1st option i.e. True i.e. if a pair of sides in a quadrilateral is both…

Q: ABCD is a parallelogram. In order to prove that the diagonals bisect each other, which pair of…

A: Proof:  Given above is Quadrilateral ABCD and we want to prove the diagonals bisects each other…

Q: If a quadrilateral has EXACTLY 3 congruent sides and the 4th side is parallel to one of the other…

A: To write that the given statement is true or false

Q: Choose the correct answer below. O A. AABC - AHKG by the SAS - Theorem. O B. AABC - AHKG by the SSs…

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Q: A quadrilateral with both pairs of opposite sides parallel is classified as a: O kite trapezoid…

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Q: 25. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a O

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Q: What additional information would be necessary to prove that the two triangles, triangle XBY and…

A: Given:

Q: . In quadrilateral ABCD, if ∠B=60°, ∠A=2∠B, and ∠A=∠C, prove that ABCD is a parallelogram.

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