Given: AB // DC, Eis the midpoint of BC Prove: AABE=ADCE

Q: 44. Given: PQRS is a rectangle; LA is a right angle. Prove: BS · RC = PS • QR = (PS) · QR A P. B R C

A: here given that ,  PQRS is a rectangle ; ∠A is a right angle, prove :- BS·RC=PS·QR=(PS)2

Q: Given: B is the midpoint of AC and C is the midpoint of BD Prove: AD = 3AB

A: Given:-          B is the midpoint of AC          ⇒AB=BC→             1        and  C is the…

Q: Isosceles ACAR is inscribed in . If mCR=130, find: %3D a. тСARD b. m ACRO C. m ARCO d. mAC = e. mAR…

A: Topic:- geometry

Q: Complete the two-column proof. Given: TPa RS, PQ = SQ, Qis the midpoint of RT APQT ASQR Prove:…

A: Given, TP = RS PQ = SQ RQ = QT       (because Q is the mid point of RT) Now, From SSS (side - side -…

Q: 2. In the diagram, PQ is parallel to AC. Given that BQ 4 cm, BC 10 cm and area of ABPQ = 8 cm2, %3D…

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Q: Given: E is the midpoint of AC, DE = EC Prove: DE = AE

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

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: Given: AP and BP are tangent A to ©Q at A and B C is the midpoint of AB PĆ bisects ZAPB Prove: В

A: given: AP¯ and BP¯ are tangents to the circle having centre Q at A and B. C is the mid point of AB⏜.…

Q: What is the radius of the given contour C : z+ 6i = 9+ 10, 0 < 0 < 2n ?

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1. Given OQ, AC = x2-6, BC = x, CQ = 5, Find the area of OQ. %3D %3D B

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Q: In the diagram below, tangent AB and secant ACD are drawn to circle O from an external point A, AB =…

A: Use property of tangent line and secant line

Q: Given: ∠1 ≅ ∠C; M is the midpoint of BC; CM = MB = 6 and AD = 14 Find: x, the length of DB

A: We have, ∠1≅∠CCM=MB=6 and AD=14 Where, M is the mid point of side CB.

Q: F 5x 2 I 55° 3y-4 5y 2 G 3x - 2 H

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Q: Given: M is the midpoint of PQ, N is the midpoint of RS, PQ = RS Prove: PM = RN

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Q: 1.pdt 1 In the diagram below of circle O, chords AD and BC intersect at E, mAC = 87, and mBD = 35.…

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Q: is parallel to D. he distance between L and D is v26.

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Q: Use Green's theorem to evaluate -y dx + x dy, where C is the unit circle r? + y? = 1

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Q: What is the radius of the given contour C: |z+ 6i| = 9+ 10, 0 < 0 < 2n ?

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Q: A point is roaring with uniform circular motion on a circle of radius r.  Findw if r =7cm and…

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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: B Given BD = CD, E is the midpoint of BC

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Q: What type of construction is illustrated in the figure? A D o An angle congruent to ZD OThe…

A: Observe that the arc cutting are drawn from both the sides of arc on point D.

Q: ABCD is a parallelogram DB intersects AE at point F Given: AF АВ Prove: EF DE D E A

A: ABCD is a parallelogram in which DB intersects AE at point F

Q: 10. Given:4E=BD, EB e DC .Bisthe midpoint of AC Prove: a. ADCB AEBA, 6< ABE <BCD B Statement Reasons

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Q: Given: S is the midpoint of RT ; PR = PT Prove: ΔΡRS ΔΡTS R S T

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Q: In AHIJ, the measure of ZJ=90°, JI = 4, HJ = 3, and IH = 5. What %3D %3D ratio represents the…

A: Given :

Q: 6. If AF = 23in find the length of arc EC and the area of that sector. %3D 87 148 F E D B.

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Q: In ARST, the measure of ZT=90°, RS = 4.8 feet, and ST = 2.4 feet. Find of ZR to the nearest degree.…

A: Explanation and solutions is given below.....

Q: Given: ZR and W are right angles, T bisects SV Prove: V

A: Box 1 Given Box 2 Angle R is congurent to Angle W Box 3 ST= TV

Q: Given the figure, AF is tangent to circle E, secant AD passes through the center, mCD = 50, M2CAD =…

A: Given: CD ⇀= 50,  DF⇀= 110 ,                        ∠CAD= 15, and ∠AED…

Q: Find the center and radius of tthe followi cirdle. X-x+y -y=D2 ing

A: Given equation

Q: A ABC is right-angled at A and has AB < AC. Point D is on BC so that AB = AD. Point L is the…

A: answer is in next step

Q: Find the unit of the resultant Parallel veetor? ri =2i+ 4j-5k , r2=i + 2j+3 k

A: Given: r1=2i+4j-5kr2=i+2j+3k

Q: What additional information is needed to prove AJKM = ALKM by side-angle-side? K. a. < MJK = MLK b.…

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Q: In the figure below, QR SR and PR TR. R T. Based only on the given information, which theorem could…

A: Given:

Q: For AKMP, Q is the midpoint of KP, L is the midpoint of KM, and N is the midpoint of PM. Also, KP =…

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Q: Consider the following figure. Given: AB and AC are tangent to o0 mBC = 132° Find the following in…

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Q: 4. JK, KL, and LJ are all tangent to cirele O JA = 13, AL = 12, and CK =9. Find the perimeter of…

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Q: 25. Use the exterior angle theorem to solve for x, then find the mZBCD- (3x+ 10)° 40 (2x + 20)°…

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Q: Given: AB and AC are B tangents to 00 from point A AABC is isosceles A Prove:

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Q: ABC is a right-angled triangle with the right at B. The altitude BD touch AC at D. Prove that BD2…

A: Use the similar triangles properties and equate the ratio of corresponding sides.

Q: Make canonical equations:

A: We need to make canonical equations of the following. For (a), Ellipse: b = 3, F(4√2, 0). So, c =…

Q: 5. Given: In rectangle ABCD, E is the midpoint of AB, Fis the midpoint of BC, Gis the midpoint of…

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Q: Given: LA ZD, O is the midpoint of AD Prove: ΔΛΟBΔDOC

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: With respect to cirele D, AB is tangent at A, and CB is tangent at C. 12/ в B D 16 What is the…

A: here option (B) is true .

Q: Given: B is the midpoint of AC C is the midpoint of BD D. Prove: AD 33AB

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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: PRa PY, AP is perpendicular Prove:ZR ZY Proof: Statement 1.PR PY

A: Introduction: If the hypotenuse and one leg of a right-angle triangle are equal to the corresponding…

Q: Find the raclius af cunvature af the cuTYes : 1- Y: 2ti + CIA)j -2tk ot (2,1,-2). Y ti +ti +tk at…

A: Here we have to find the radius of the curvature of the curve,  1) r=2t i+1t j-2t k at 2,1,-2 2)…

Q: Given: AE = CB AB = CD B is the midpoint of ED Prove: AAEB =ACBD Sy E

A: To Determine:  prove that ∆AEB≅∆CBD Given: we have two figures in which we have…