Complete the proof of the following theorem: "The diagonals of an isosceles trapezoid are congruent." Trapezoid ABCD B Given: with AB || DC and AD = BC Prove: AC = BD

Q: a. The diagonals of a rhombus are in the ratio of 1:3. If each side of the rhombus is 10 cm long,…

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Q: Give two formulas that can be used to find the area of a rhombus. (Hint: Every rhombus is also…

A: Rhombus: Consider a rhombus ABCD, having two diagonals, i.e. AC & BD. Step 1: Find the length of…

Q: Given: AABC with vertices A(-6,-2), B(2,8), and C(6,-2). AB has midpoint D, BC has midpoint E, and…

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Q: SP = 3x+1, and LN = 10x -6. Find SP. %3D %3D L. M 丰 R. OA. 7 OB. 4 OC. 9 OD. 21

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Q: The midpoint of AB is M(2, –1). If the coordinates of A are (1, 6), what are the coordinates of B?…

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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: 4) Find the value of x. A. 7 В. 15 С. 23 x+ 2 D. 35.5 15 20

A: Given-  To Find- The value of x.

Q: In the diagram below, AB = AD and BC = CD. Use the Perpendie Bisector Theorem to prove that AC 1 BD.…

A: Given AB is congruent to AD Also BC is congruent to CD First we check the triangles ADC  and ABC…

Q: State verbally the hypothesis, conclusion, and the converse of the following theorems. 1. The…

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Q: No written by hand solution Leroi is using coordinate geometry to prove this theorem. Theorem: The…

A: Theorem: The diagonals of a parallelogram bisect one another.

Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

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Q: 4) Find x, y, and z in this this rhombus. 10 60 yo

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Q: Prove: AEFG is isosceles

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Q: a) If Jä| = 2, JB| = 3 and the angle between å and b is, find the length of å- 2b. %3D %3D

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Q: for éach given parallelogram. A. Given: Rhombus ARMY with diagonals AM and RY M Prove: AM 1 RY…

A: Statement Reason Rhombus ARMY with diagonal AM and RY given AR≅RM≅MY≅YA (1)from figure AM and…

Q: Let vertices of an acute-angled triangle are A(z₁), B(z2), and C(23). If the origin O is the…

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Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

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Q: Prove that the diagonals of an isosceles trapezoid are congruer D(c, b) C(a-c, b) b A( 0,0) В (а, о)

A: A plane figure formed by three or more non-collinear points joined by line segments is called a…

Q: parallelogram. I L and M are the midpoint o E amd tespetively express AL and AM in terms of that AI…

A: Given: ABCD is a parallelogram. L and M are the midpoints of BC→ and CD→ respectively. It is to…

Q: BCD is a parallelogram with diagonals intersecting at F. FE is parallel to CD. AC is extended to P…

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Q: A and C are points on the x-axis and the y-axis respectively. OABC is a square. Its diagonals OB and…

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Q: The diagonals of parallelogram JKLM intersect at P. If PM = 3x – 2, PK = x + 3 and PJ = 4x – 3, find…

A: Use parallelogram properties

Q: Let ABCD be a quadrilateral, and let E be the midpoint of AB, F the midpoint of BC, G the midpoint…

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Q: 4. Prove Theorem 7.5, the formula for the area of a trapezoid. [Hint: For a clever ap- proach that…

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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: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 &amp; n2 . Now here n1≠ k n2  , where k…

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: Label a point D outside AABC so that AD WY and ZDAB ZYWX. Since WX AB, AWXY AABD by Now, let E be…

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Q: Given: ABCD is a rhombus. Complete the proof. Prove: AC bisects ZBAD and ZBCD. A D 3 4 2 B

A: We use property of rhombus Interior angle property