Given: Let AC = a, and BD = b be the diagonals of a rhombus. Suppose a circle with radius OP =r is inscribed in a rhombus. ab Prove: 2/a2+b2

Q: What is the most precise classification for this object? * O A. quadrilateral B. rhombus C…

A: We have to determine the classification for the given object .

Q: Let AB = a and BC = b. Point M is the midpoint of BC. If AN = (AB), find the length of NM in terms…

A: Given:                  Length of AB= a,                  Length of BC=b;   Point M is the mid-point…

Q: If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure. %3D %3D K M

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Q: If C is the unit circle x² + y? = 1 oriented counterclockwise and F (x, y) = xi +y j, what is the…

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Q: AABC has an inscribed rhombus ARST. If AB = 10 and AC = 6, find the length x of each side of the…

A: We have, In △ABC, the rhombus □ARST is inscribed such that each side length is x units. Also AB=10…

Q: Given: G is the centroid of isosceles triangle AEC, where angle A and angle C are equal and AB = 6…

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Q: Given: Trapezoid ABCD with AB||DC and AD BC Prove: AC DB

A: Given information: Trapezoid ABCD with AB¯∥DC and AD¯≅BC¯ Consider the trapezium ABCD and extends it…

Q: If PQ is tangent to circle R at point Q, and PS is tangent to OR at point S, what is the perimeter…

A: RS=RT=5   ∵Radius of the circle Therefore, PR=PT+RT⇒PR=4+5⇒PR=9 Now by using Pythagorean theorem in…

Q: Given: Let AC = a, and BD = b be the diagonals of a rhombus. Suppose a circle with radius OP =r is…

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Q: . Given WISE is a parallelogram. Prove that ZIWE = ZESI. W E

A: We will use property of congruent triangles to show the required result.

Q: A Find THE PERIMETER OF RHOMBUS ABCD WITH DIA GONALS AC AND BD INTERSECT AT poiNTE IF BD= 24 AND AC=…

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Q: The diagonals of parallelogram JKLM intersect at Z. Which of the follwoing statements is true? Your…

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Q: Given parallelogram ABCD with vertices A(-3,1), B (2,6), C(9,5) and D(4,0) PROVE ABCD is a rhombus.

A: Given that: ABCD is a parallelogram with vertices A(-3,1), B (2,6), C(9,5) and D(4,0).

Q: Given isosceles trapezoid ABCD, find a) AC, if BD = 12.3 cm. b) x, if AC = 3(x + 7) and BD = 9(x –…

A: Given: An isosceles trapezoid ABCD.

Q: Complete the proof of the following theorem: "The diagonals of an isosceles trapezoid are…

A: Given: Isosceles trapezoid ABCD with AB¯∥DC¯ and AD¯≅BC¯. To prove: AC¯≅BD¯. Solution: Given diagram…

Q: In the following sketch, PQ is a tangent to the circle. PQ ||BC. Prove that ABCD is a cyclic…

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Q: Given central point C of the circle with AC = 7 that is a bisector of %3D BH, calculate HJ when CJ…

A: We have to find HJ.

Q: 1. What is the perimeter of a rhombus ABCD given AB = 2 b) la c) 48 d ) (44 Tind t 2.

A: Explanation of the answer is as follows

Q: In rhombus VENU, diagonals VN and EU intersect at S. If VN = 12 and EU = 16, what is the perimeter…

A: Diagram according to the Question Diagonals of Rhombus are Perpendicular Bisecture ( Angle 90°)All…

Q: If JKLM is a rhombus, MK = 30, NL = 13, and m/MKL = 41°, find each measure. %3D %3D

A: We have to find each measure using given information

Q: For the trapezoid ABCD, E denotes the midpoint of BC. Try to prove that the area of the triangle AED…

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Q: In the drawing, suppose that ZX is the perpendicular bisector of WY. What type of quadrilateral is…

A: Since, we have been given that ZX¯  is the perpendicular bisector of WY¯.Our Aim is tell to the type…

Q: Given: Trapezoid ABCD with ADu BC Find the perimeter.

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Q: Given rhombus HEAD with A(-2,5) and D(3,4), find the perimeter of the rhombus in simplest radical…

A: Given the rhombus HEAD  with points A(-2 ,5) and D(3 , 4) . We need to find the perimeter of…

Q: . Heron also derived the following formula for the area of an inscribed quadrilateral with sides a,…

A: Sides of a isosceles trapezoid are a=10, b=10, c=10 & d=20. Now semi perimeter is,…

Q: The following is an isosceles trapezoid. If AP = 3.2 feet and PC = 2.1 feet, find the length of the…

A: Given Data: The isosceles trapezoid ABCD is shown in the given figure. The length of segment AP is:…

Q: If JKLM is a rhombus, MK = 30, NL = 8, find each measure. K N M L NK = JL = KL =

A: SOLUTION-

Q: If quadrilateral WXYZ is a rhombus and ZY = 25, WY = 40 find each measure.

A: Given that, In the rhombus WXYZ: ZY = 25 ; WY = 40 Since all the sides of a rhombus are equal,…

Q: Give the definition of a rhombus and prove that the area of a rhombus is half the product of the…

A: A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus,…

Q: If JKLM is a rhombus, MK = 30, NL = 13, and ZMKL = 41°, find each measure. %3D %3D K NK = JL = angle…

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Q: the accompanying figure, ABCD is a trapezoid in which AD||BC and AD> BC. Prove that if AB CD, then…

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Q: In the accompanying figure, ABCD is a trapezoid in which AD|BC and AD> BC. Prove that if AB=CD, then…

A: To prove the given angle

Q: Frind THE PERIMETER OF RHOMBUS ABCD WITH DIAGONALS AC AND BD INTERSECT AT poiNTE IF BD= 24 AND D AC=…

A: In the above question we have to find the perimeter of the Rhombus ABCD.

Q: A parallelogram with all four sides congruent is classified as a: Trapezoid None of the above…

A: Figure

Q: Given isosceles trapezoid JAYS. ON is the midline. A Y J

A: I assume that the mid line means here is  O is mid point of AJ. N is the mid point of YS.

Q: 4. Identify the following: Trapezoid CARE is an isosceles trapezoid. a. Bases: b. Parallel segments:…

A: 4) Parallel sides of trapezium are called as bases of trapezium . Therefore, a) Bases are AR and CE.…

Q: Given: Concentric circles with radii of lengths R and r, with R >r Aing = 7(BC) Prove:

A: From the figure - Radius of outer circle = OC = RRadius of inner circle = OB = rIn triangle OBC,…

Q: Given: ABCD is an isosceles trapezoid Prove: AABE is isosceles D A B. Exercises 17, 18

A: Here ABCD is an isosceles trapezoid

Q: By Green's theorem, if C is the circle z+y =D4 taken anticlockwise, then 'dy, equals

A:

Q: In the following sketch, O is the centre of the circle. AE= ED and DT=TC. %3D Prove that (1) Ê =Ô¡…

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Q: Given oN with chord AB , which point lies on the perpendicular bisector of AB ?

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Q: If LMNO is an isosceles trapezoid, find the coordinates of M

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Q: Given: Let AC = a, and BD = b be the diagonals of a rhombus. Suppose a circle with radius OP =r is…

A:

Q: Given: ABCD is a rhombus, DE DF and FC AE. Prove: AADE ACDF.

A: Given : ABCD is rhombus DE≅DFFC≅AE

Q: In isosceles trapezoid QRST shown below, QR and TS are bases. If mZQ = 5x +3 and mZR = 7x – 15, what…

A: Given that TSRQ is an isosceles trapezoid Properties of isosceles trapezoid both pair of base…

Q: The image shows a circle with diameters AC and BD. Prove that chords BC and AD (not drawn) are…

A: Find your answer below

Q: Given a rhombus with a side length of 13 cm and a diagonal of Io cm and an area of 120 cm? ; find…

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Q: Consider trapezoid ABCD with AB || DC. M and N are midpoints of AD and BC, respectively. If AB = 12…

A: Consider the trapezoid as shown in the question. Here, the objective is to find MN

Q: AB is tangent to circle C. If AC = 5, and AB = 12, what is the length of BC %3D %3D 12 17 B 30 13 It…

A: We are given the following. So, ABC is a right-angle triangle. Now, we need to find BC.