Write a two-column proof. Given: Trapezoid ABCD, A = ED and EC = BE Prove: Trapezoid ABCD is an isosceles trapezoid. (Hint: You may use the following theorem: If the diagonals of a trapezoid are congruent, then the trapezoid is isosceles B 'D

Q: 1. A proof with some missing statements and reasons is shown. Given: PQRS is a parallelogram. PQ QR…

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Q: Select all the statements that are true about rhombuses. A parallelogram that has consecutive sides…

A: see below the answer and explanation

Q: efinition: 4. TRUE OR NOT? For each of the following state- ments, if it is True simply write true,…

A: Answer(a) -False  Reason –A trapezoid is a quadrilateral with exactly one pair of opposite sides…

Q: ABCD is a rhombus. If m<ABD = 47o , find m<BAC

A: Given,  ABCD is a rhombus.  m∠ABD = 47°  We have to find  m∠BAC.

Q: Determine the reason for Step #5 of the proof below: B. A D Given: ABCD is a Rhombus. Prove: ABFA =…

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Q: Prove: AABC is an isosceles triangle. Step 1 2 3 4 LO 5 6 7 Statement D is the midpoint of AC ED FD…

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Q: (Hint: Use the Converse to Euclid's Proposition III.22.) GIVEN: GOAL: 1 Ois centre of the circle O…

A: We have to find quadrilateral ACOE is cyclic.

Q: Given: CE bisects ZBCD. LA is a right angle. MZBCE = 45 Prove: ZA = ZBCD

A: It is given that →CEbisect LBCD . LA=90 degree LBCE=45 degree Now we have to prove…

Q: In quadrilateral EFGH, FG HE, and FG || HE. Name the postulate that could be used to prove AEHF…

A: In the given quadrilateral EFGH, FG= HE     and FG is parallel to HE FG is parallel  to HE   and…

Q: 7. In rhombus ABCD, diagonals AC and BD intersect at E. If BE = 8, AE = x and AB = x+4, find the…

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Q: BFCD is an isosceles trapezoid. Which of the following statements are correct? Select all that…

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Q: Every trapezoid has two parallel bases. O True False

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Q: Use the definition of a parallelogram to complete each proof. O Given: ZBẠC = DCA ZBCA= ZDAC Prove:…

A: Solution:- Step-wise solution of the above questions is explain below.....

Q: How do I proof number 15?

A: Given In the figure

Q: Given: angle B is congruent to angle D and angle ACD is congruent to angle CAB. Prove: AD is…

A: Given: angle B is congruent to angle D and angle ACD is congruent to angle CAB. Prove: AD is…