Different Methods of Proof Two-Column Proofs (Continued) 3. Complete the following proof by filling in each statement. Remember to mark all given information on the diagram. A B Given: ABCD is a parallelogram Prove: AABE = ACDE E D C Statement Reason 1. 1. Given 2. In a parallelogram, opposite sides are congruent. 2. 3. In a parallelogram, diagonals bisect each other. 3. 4. In a parallelogram, diagonals bisect each other. 4. 5. Side-Side-Side congruence 5.

Q: 10 Diagonals are perpendicular. Parallelogram Rhombus Rectangle Square

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Q: Which property of parallelograms is shown on the diagram below to illustrate the given figure is a…

A: Solution is given below:

Q: Both parts are connected. Answer both parts to get the answer.

A: QUES 1 Given Image,∠OAB=50∘,∠OCD=24∘and ∠ODC=59∘In triangle COD, Sum of all angles is…

Q: Use SSS to explain why the triangles in each pair are congruent. 2. AABD= ACDB B

A: To prove the both the triangle ABD and  triangle CDB are congruent. Given, AB=CD             AD= BC…

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.

Q: In AUVW,UV = WU and mZW = 31°. Find mZU. Answer: Submit Answer

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Q: All sides 2 pairs of Opposite sides= 1 Pair of Opp. Sides are a All Angles are 2 pairs of Opp.…

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Q: based on the diagram below? (Diagram is not to scale.) K J L I

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Q: Supply the conclusion and identify the kind of reasoning. Write whether it is deductive or…

A: Deductive reasoning gives a valid conclusion or if the premises are true then the conclusion is…

Q: Given: DA AB, ADEA ADFC and ZDAB ≈ ZFDC. Prove: ABCD is a parallelogram. Step 1 try Statement DA AB…

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Q: Directions: This proof if worth 10 points. DO NOT leave any part blank. You can receive partial…

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Q: n ABCD

A: In a parallelogram, opposite sides and angles are equal.

Q: 3. Reason How can you tell which property of triangle congruence shows ARST AUVW? C MP.2 W R T. V 4.…

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Q: Use the figure to complete each statement. 1. QT is a P R 3. Angle 55° 47° since Q and T are…

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Q: Skye says that the two triangles below are congruent. Margaret says that the two triangles are…

A: As we can see from the figure, in the first triangle the base and height are 5cm and 12 cm…

Q: Given: BD bisects ZABC and BD bisects ZADC. Prove: AD CD.

A: Observe ∆ABD and ∆CBD.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.