Write a paragraph proof to show that the diagonals of a rectangle are congruent. Given: Rectangle ABCD Prove: AC BD A B.

Q: The rectangle whose vertices are A(0, 0), B(a, 0), C(a, b), and D(0, b) is shown. Use D (0, b) C (a,…

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Q: AABC ADEF. If AB = 8, BC = 12, AC = 12, and DE = 16, find the perimeter of A DER %3D A) 32 B) 63 64…

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Q: In kite RSTV, RS and RV = y. Find the perimeter of RSTV. 2x 4, ST = x - - 1, TV = y – 3, R

A: Given:

Q: Find the perimeter of a square with a diagonal 102. a) O 10/2 b) O 10 c) O 20 d) O 40/2 e) O 40…

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Q: Find the area of the parallelogram ABCD, where A=(3,2),B=(5,4),C=(9,4), and D=(7,2).

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Q: The quadrilateral ABCD shown in the figure below is a rectangle. () O True O False

A: To find : The quadrilateral ABCD shown in the figure is a rectangle. We have to check whether the…

Q: a) Is rectangle What

A: From the given diagram, we can find that: AD = 18 and LM = 12 AB = 32 and LP = 26

Q: ABCD is a quadrilateral such that AB =b.AD = d, AC =mb+pd. Show that the area of the quadrilateral…

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Q: To construct the square ABCD with the diagonal BD as shown, begin by constructing the…

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Q: Which information does not prove that quad. ABCD is a parallelogram? b. AD | BC; AD = BC a. AC and…

A: (a) If AC¯ and BD¯ bisect each other, then ABCD is a parallelogram.  (b) If AD¯∥BC;AD≅BC, then ABCD…

Q: Consider ABCD, with A (-4, 4). B(1,6), C (–1,1), and D (-6,-1). Is ABCD a rectangle? Show your math.

A: Given : A(-4, 4), B(1, 6), C(-1, 1) and D(-6, -1)

Q: 9) Write a two column proof. Given: ABCD is a rhombus.

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Q: Consider rectangle ABCD. D 24. AM = 12, MC = %3D 25. BD = 50, AC = 26. BM = 8, CA = C 27. AC = 28,…

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Q: Example 10: BD is the perpendicular bisector of AC, BC = 8 and AD = 5. Find the perimeter of AABC A…

A: Perpendicular bisector: A perpendicular bisector is a line segment which intersects the other line…

Q: In rhombus VENU, diagonals VN and EU intersect at S. If VN=14 and EU=48, what is the perimeter of…

A: given,

Q: II. Use coordinate geometry to prove that the diagonals of a rectangle. congruent. are

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Q: 3. Juan used the theorem that states "the diagonals of a parallelogram bisect each other" to…

A: 1st option is correct.   Diagonals of parallelogram are AC and BD . O is the point of intersection…

Q: Find the length of side BC of the quadrilateral ABCD when 2C = 40°, AB = 16cm, and AD = 12cm. * B…

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Q: Statement Reason 1.AC BC and CD bisects <C 1. GIVEN

A: Statement Reason 1. AC is congurent to BC and CD bisects angle C. Given 2. AC = BC AC is…

Q: 8. Given: The coordinates of rectangle DEFG are D(0, b), E(a, b), F(a, 0), and G(0, 0). Prove: The…

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Q: Use rhombus ABCD to answer the follwoing questions. AD= 10, AC = 16, and mZABC = 130° 130° A w D AB…

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Q: Calculate the area of a rhombus with sides measures 10 inches and a longer diagonal measuring 16…

A: 96 in^2

Q: 19.Write a two column proof. Given: ABCD is a rhombus. Prove: AADCE ABCA C

A: We have to find out

Q: Select all shapes with perpendicular diagonals O Square Parallelogram O Rhombus Kite Rectangle

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Q: Given: ABCD is a rectangle E is the midpoint of BC AB = 16, CF = 9, AD= 24 Find: AE, EF, AF, MZAEF C…

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Q: In rectangle ABCD below AC 26 and AD = 24. What is the MZBAC ? %3D

A: Given, A rectangle ABCD AC = 26AD = 24 We have to find m∠BAC.

Q: Find the area of triangle ABC, where A (1, 3, -2), B (5, 3, 1), and C (8,-2, -3). |

A: Here we have to find the area of the triangle ABC having vertex A(1,3,-2), B(5,3,1) and C(8,-2,-3)

Q: Find the area of the parallelogram with adjacent sides, a = i-j+k and b 2j – 3k %3D

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Q: 7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work. 32 11 22 44

A: We have to find the parameter of the triangle ABC.

Q: Find the mLBCD, given ABAC is equilateral and ADCE is an isosceles triangle. (GCO.9b) A) 60° B) 65°…

A: Straight angle makes 180 degree

Q: Use the Babylonian way to find the area of the equilateral triangle with a side of 2;30. A.…

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Q: One side of a parallelogram is 10m and its diagonals are 16m and 24m, respectively. Its area is:…

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Q: Consider rectangle RSTU, where the diagonals of the rectangle intersect at point W. R S W U If RW =…

A: Option D is correct In rectangle diagonal bisect each other.  So 5x-10=3x+6 2x=16 X= 8 So RW=…

Q: EB so as to form a quadrilateral EBCD. Prove that a² + b² = c² by relating the area of the…

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Q: ADEF, AB = 8, BC = 12. AC = 16. and DE = 12. What is %3D the perimeter of ADEF? а. 36 b. 40 c. 48 d.…

A: Given: △ABC~△DEF, AB=8, BC=12, AC=16 and DE=12. To find perimeter of △DEF. Solution: We know that if…

Q: Prove that if P is the perimeter of a Pythagorean Triangle with integral sides a, b and c, then P…

A: We have to prove that P divides ab.

Q: Theorem. The diagonals of a rectangle bisect each other and have the same length.

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Q: b) ABCD is a parallelogram and BEFC is a square. how that AABE = ADCF. E C A B D

A: Given that ABCD is a parallelogram and BEFC is a square. The objective is to prove that △ABE≅△DCF.

Q: What could be shown about the diagonals of parallelogram PQRS to complete the proof that diagonals…

A: Given query is to prove that the diagonal bisects each and ther.

Q: AABC ADEF. If AB = 8, BC = 12, AC = 12, and DE = 16, find the perimeter of ADEF. %3D A 32 48 63 64

A: Given: △ABC~△DEF AB = 8 BC = 12 AC = 12 DE = 16     To find: Perimeter of ∆DEF

Q: Which figure has congruent diagonals? O rectangle O kite O rhombus O parallelogram

A: So we know that the quadrilaterals which have identical or congruent diagonals are following I.e.…

Q: Which statement would not prove that ABDC is a parallelogram?

A: Properties of parallelogram is as below : Two opposite are parallel and congruent. Opposite angles…

Q: The perimeter of AABC (not shown) is 47. If AB = ВС х, АС 3D х + 1, and = x 5, find x, AB, AC, and…

A: We have to find: x, AB, AC, and BC Where perimeter of the triangle is 47 for AB=x, AC=x+1 and…

Q: 9. Fill in the table by marking which properties apply to which shapes: Property parallelogram…

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Q: Write a paragraph proof to show that the diagonals of a rectangle are congruent. Given: A Rectangle…

A: We will solve the problem

Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. 10 If the length of diagonal AC is 12, what is…

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Q: RAIN is a Rhombus, its diagonal intersects at E. RI =20 and Al = 30. What is the measure of AE?…

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Q: The following two-column proof with missing statement proves that the diagonals of the rectangle…

A: for the given statement

Q: What is the area of quadrilateral ABDC shown below? B -2 -1 0 1 2 6 7 8. 6. O 10/2 units O 20/Zumits…

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Q: II. C Given Square ABCD and EDC - ZECD, prove A ABE is equilateral. B.

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