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

Q: Use the parallelogram provided to determine which of the following would be sufficient to show that…

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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: 4. In quadrilateral RSTU, the diagonals bisect each other. Which of the following could NOT be RSTU?…

A:

Q: 21) CA is congruent to what line of the segment?  a)CE  b)AE  c)RE  d)AC 22)<ACR is congruent to…

A: Congruent of triangles: Two triangles are congruent if all three corresponding sides are equal and…

Q: Given: Equilateral AABC with each side of length s Prove: AABC V3 4

A: We know, the area of a triangle with sides a,b,c and semi perimeter s=a+b+c2 by using Heron's…

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

A:

Q: 1. If the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Given quadrilateral WXYZ with coordinates W(4, 5), X(9, 4), Y (8,0) and Z(3, 1). Prove or disprove…

A: Quadrilateral is parallelogram if diagonals bisect each other

Q: Mrs. Jones asked her class to prove that this quadrilateral was a parallelogram. What test proves…

A: Both pair of opposite sides

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: ABCD is a parallelogram, ABCD is a parallelogram, if AO = 3, BO = 4 AB = 6, AC + BD = ?

A: Diagonal of parallelogram bisect each other. It means AO=OC and BO = OD

Q: B T. Statements Reasons 1. 1. Given 2. AT bisects BC. 2. 3. 3. Definition of equilateral triangle.…

A: To write the statements with the reasons.

Q: If AC 2+ 14 and AE = 8v + 2, find the value of v that makes quadrilateral BCDE parallelogram.

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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: if ABCD is a rhombus, AC=4, and ADC is an equilateral triangle, what is the area of rhombus?

A: Drawing the figure as per the question, As we are given that AC=4 and ADC is an equilateral…

Q: If the diagonals of a parallelogram are congruent then what would be the best and most restrictive…

A: The above question can be solved as below

Q: Afigure is shown. M Glvan: LA = MB, BL |AM Which statement about quadrilateral LAMBis true? O…

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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: It is given that  AC = BD. After proving that △BAD≅△ABC△BAD≅△ABC  and △ADC≅△BCD△ADC≅△BCD, a teacher…

A: Given step by step clear explanation

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: Given the information below, use the drop down menus to correctly complete the statement. Glven: LAN…

A:

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

A: Given: As per the instruction, we will be proving ∆ADE≅∆CBE. We have that the parallelogram ABCD…

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

A:

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

A: We can find the answer as below.

Q: 2. Given: ABCD is a parallelogram, DE I AF, and CF 1 AF Prove: DE = CF D C Statement Reason A E

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Q: in cach given, state the condition that supports why quadrilateral HOME is a parallelogram. MS SH…

A:

Q: Suppose AABC is a triangle in the Euclidean plane and D is the point such that B*C*D and AD bisects…

A: Given:  AB=9AC=6CD=12 B*C*D means points B, C, Dare distinct and they lie on the same line.  B*C*D…

Q: In the given figure, PQRS is a parallelogram, whose diagonals PR and SQ intersect at O. If OR = 7.5…

A: it is given that 'OR' =7.5 cm

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

A:

Q: In Exercises 15 to 18, describe the triangle (AXYZ, not shown) as scalene, isosceles, or…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In the figure shown, MN PQ is a rhombus. The length of MP is 10 cm and the length of NQ is 24 cm.…

A:

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

A: Given:

Q: Given quadrilateral ABCD is a rhombus and MZABD= 32°, find the measure of each numbered angle below.…

A: since the diagonals of a rhombus intersect at right    angles ∠2=90°…

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

A: The given data is: ∆XWZ≅∆XYZ, and ∆WZY≅∆WXY To prove: Quadrilateral XYZW is a parallelogram.

Q: What type of trapezoid a) has congruent diagonals? b) has congruent base angles?

A:

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: For this question, assume the Parallel Postulate P-1 (a) Define what it means for DABCD to be a…

A: parallel postulate: When any traversal is passing through two lines or the transversal is falling on…

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

A:

Q: . ABCD is a parallelogram, ABCD is a parallelogram, if AO = 3, BO = 4 AB = 6, AC + BD = ? %3D

A: Given data: The given length AO is AO=3 units. The given length BO is BO=4 units. A parallelogram is…

Q: Consider the quadrilateral with vertices at M(0, 0), N(a, 0), P(a, b), and Q(0, b). Explain why MNPQ…

A: Given figure:

Q: In quadrilaterals ABCD and EFGH, AB || DC, EF || HG, ZA = LE, and LB = LF. a) Are quadrilaterals…

A: Given that, (i) In quadrilaterals ABCD and EFGH, AB is parallel to DC and EF is parallel to HG. (ii)…

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

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Q: 15 If the quadrilateral is a parallelogram, find the missing measures. D. CF %3D 10 FE= %3D CE %3D E…

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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: Based on the given information, decide whether the quadrilateral, ABCD, is a parallelogram,…

A: The slope of the sides of quadrilateral □ABCD are provided. To determine whether □ABCD is a…

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

A: In given figure  For ∆ADE &amp;∆BEC 1) AD= BC ( opposite sides are parallelogram are equal and…

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

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