D A В Segments AD and BC intersect at point O. Prove that AC = BD, MZABC=mZBAD.

Q: ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel to DB to meet AB in F,…

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Q: 22. In A ABC, D is a point on AC and E is a point on CB such that DE AB. If AD DC and DE = of AB. 3,…

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Q: Where M, N, and P are the midpoints of the sides of  triangle RST and C is the centroid of the…

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Q: 2. Isosceles ACAR is inscribed in OE. If mCR = 130, find: %3D a. MZCAR A b. mZACR C. MZARC C d. mÁC…

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Q: GIVEN: AB||CD & E BC||DE & C is the midpoint of AE PROVE: ДАВС3 ДСDE

A: According to bartleby guidelines we have to answer only first question please upload the question…

Q: Consider the following figure. W S Given: pentagon RSTVW with mzVRS = mzVSR = 60°, RS = 14/2, and…

A: angle VRS and angle VSR are 60° and side RS = 14√2 units Hence, triangle VRS is an equilateral…

Q: A cubpe spline $ s defined by 13 Sole). otm Sis a nutral Eubie Spline fral EubicSoline

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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: Given : AB I DC, AO an BC intersect at pt E Prove: AE -CE = DE · BE %3D

A: In the figure AB∥DCSo by alternate angle test,∠DCB=∠CBAAnd∠CDA=∠DABAs ∠CED and ∠AEB are opposite…

Q: In AHIJ, ZI ZH, HI = 14 and JH = 15. Find the length ofIJ. %3D

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Q: 14. Given: nLw, nil; AB DE;Cs the midpoint of AE and BD Prove:A4BC 2 AEDC

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Q: A B ´E

A: It is given that,       BD=DA,   BE=EC We have to prove that, DE∥AC    ,  DE=12AC

Q: In ARST, mzS = 84° and m T = 42°. The bisectors of ZR and s meet at the point V in the interior of…

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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: If V = Ai - j +sk and Vz= 41+2j +4k, Find Value of (A) so that the length of Projection of V ont Vz…

A: Use the formula for length of projection of a vector onto another vector

Q: In the given figure, ABCD is a parallelogram in which E is mid-point of AD and AM//EC. AM and DC and…

A: Given- In the figure ABCD is a aprallelogram in which E is mid point of AD and AM/EC. AM and DC are…

Q: Given: QR bisects ZEQW: 221 Prove: ER RW

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Q: D is the mid point of the side ВС of ДАВС;B ВЕ is perpendicular from В to the external bisector of…

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Q: B D F O A. M2DAB = 2m<DCB O B. M2CBD = M2CDF O C. M2BDC = m<BDE

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Q: 28. Given: WX ZY and Zs Z and Y are supplementary WXYZ is a parallelogram Prove: ZRYS RVST

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Q: Two equal chords AB and CD meet at an external point E. Prove that AE= CE and BE = DE. 6. E %3D VD…

A: Given : Two equal chords AB and CD intersecting at a point E. To prove : BE = DE and AE = CE…

Q: In the figure at the right, WY bisects UV at Y and UY bisects TW at X. For each situation, find the…

A: WY¯ bisects uv at y= UV¯ = YV¯---(1)UY bisects TW at x¯ wx =Tx ----(2)b) UY¯ = 4x -3YV¯ = X from…

Q: 29. In right AABC with right 2C, AB = 17 and BC = Find the length of MN if M and N are the midpoints…

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Q: Given: BR and DM Z1E2 23E24 Prove: ABCD is a parallelogram 1 M A

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Q: In AYZX, the midpoints of ZX and YX are M and N, respectively. The intersection of YM and ZN is G.…

A: M and N are the mid points of the side ZX¯ and YX¯, respectively. The measure of side YG is 22.

Q: b. Given: AE bisects DC ZC = ZD B Prove: AABD EAEBC PE D.

A: we prove it in 2nd part by using ASA identity.

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: Find TN and B for the carve at the indicated pont r(() = (t,t,e') at (0,0,1) T= B= ?

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Q: The diagonals of rectangle QRST intersect at P. Given thạt m/PTS = 34° and QS = 10 , find MZSRT. 34°…

A: In triangle RST angle S + angle(srt) + angle  (rts) = 180 90 + angle (srt) +34= 180 Angle (srt) = 56

Q: Let ABCD be an isosceles trapezoid with AD = CD, and BD are 15, 18, and 10, respectively. Let K be…

A: Given an isosceles trapezoid ABCD with AD=BC and AB&lt;CD. Distances from A to the lines BC,CD and…

Q: Let ABC be a triangle and let P be a point inside. Let X, Y, Z be the intersections of AP, BP, CP…

A: Using Ceva's Theorem:     CXXB·BZZA·AYYC=1 ⇒CX·BZ·AY=XB·ZA·YC

Q: Given: JKLM is a parallelogram Prove: JK 2 LM KL MJ K 4 1 3. etate ments MN

A: Statements Reasons 1.JKLM is a parallelogram Given 2. JK//LM ,KL//MJ By definition of…

Q: GIVEN: UT || DW, UT = DW, QW = AT. PROVE: UQ || AD. W

A: UT || DW , UT=DW, QW=AT

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

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Q: M and N are the midpoints of the legs of trapezoid EFGH. If bases EF and HG have lengths 2r + s and…

A: Given:  M and N are the midpoints of the legs of the trapezoid EFGH. The length of bases EF and HG…

Q: 8. ABCD is a trapezium such that DC 3AB. If L and M are the midpoints of AD and BC respectively,…

A: Take length of AB as x and the DC becomes 3x. Also draw dotted lines from A and B to create four…

Q: A В 丰 E D 丰 C. Note: DB and AC are segments.

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Q: GIVEN: RS 1 SL, RT 1 LT, RS = RT. PROVE: 1. ARLS = ARLT. 2. WL bisects SWT.

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Q: Show that the two triangles are similar. S v and SVR Z V. so ASIVR ATRU ZVRS L

A: The figure given in the problem represents two triangles. From the figure, angle VRS and angle RUT…

Q: moves along iine ield x, y, z) = z?i + + 4 s' Theorem to finc

A: The work done is the line integral o the force along the given path C, W=∫CF.dr Apply Stokes…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE B.

A: Solution: To Prove △ADE≅△CBE

Q: Show that LM = 2AB.

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Q: If C is the line segment from (8, 4) to, (0, 0), find the value of the line integral: (6y? i + 5x})…

A: To solve the line integral from (8,4) to (0,0)

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: Let r be the inradius, R the circumradius, and s the semiperimeter of a right triangle AABC. Prove…

A: Given that, ∆ABC is a right triangle, r be the inradius, R be the circumradius and s is the semi…

Q: Let ABC be a triangle and let X and Y be points on AB and AC, respectively. Let AX = 6AY = 3, XB=1,…

A: Given information: ABC be a triangle and let X and Y be points on AB and AC, respectively. AX=6,…

Q: GIVEN: BD bisects ZABC DE 1 BÁ and DF 1 BC PROVE: DE = DF E В F C

A: Given: BD bisect ∠ABC, DE⊥BA, DF⊥BC According to given figure in ∆BDE and ∆BDF ∠BED=∠BFD…

Q: In the figure below, the segments JK and JL are tangent to the clrcle centered at O. Glven that…

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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…

Q: Write proofs in two-column form.

A: Join R and T, we get