ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel to DB to meet AB in F, and EG is drawn parallel to DC to meet AC in G. Prove that FG is parallel to BC.

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: The sides of ABCD are not all the same length, and ABCD is a planefigure. ABCD is a square or a…

A: The sides of ABCD are not all the same length, and ABCD is a planefigure. we have to find ABCD is…

Q: If ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and Bo and AD are…

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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: Prove that the figure formed by joining, in order, the midpoints of the sides of quadrilateral ROST…

A: Mid pint of points (x,y) and (p,q) is x+p2,y+q2  In ROST quadrilateral mid point of OR is…

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE "AE CE…

A: topic - congruence of triangles

Q: Consider the following quadrilateral with diagonal AC and from which it is known that AB || CD and…

A: Given that AB∥CD , AD∥BC AC is diagonal  Now, we know that ∠A+∠B+∠C+∠D=360° ∠A+∠B=180° ∠D+∠C=180°…

Q: The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw two…

A: Given- The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw…

Q: The triangle ABC has a centroid, sides measure AB = 67.83 m, BC = 33.25 m, and CA = 62.51 m. Compute…

A: A detailed solution is given below

Q: Complete the two-column proof to prove the following Given: Square ABCD with diagonals AC and BD…

A: Given that ABCD is a square. The diagonals are AC¯ and BD¯  We've to show that CB¯ ≅CD¯ Also E is…

Q: If the rectangular pyramid shown above is sliced by a plane parallel to the base, which of the…

A: In this question you are not given options.  The cross section of the pyramid is Rectangle.  For any…

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

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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: A B ´E

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

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: Given: AB 2 BC and D is the midpoint of AC. Prove: BD bisects ZABC.

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Q: AC and D8 are diagonals of the quadrilateral ABCD AO-OC, 80-OD. Prove ABCD is a parallelogram.

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Q: In the dlagram, DE Intersects AB and AC and is parallel to BC. C D. E А How can you prove that DB AD…

A: We can complete the gaps to prove the required statement as below.

Q: Given: line m is the I bisector of BJ Prove: line m contains the center of OC

A: radius congurent

Q: C 11. Show that if, from the foot of a perpendicular to a plane, a line is drawn normal to any line…

A: --------------------------------------------------------------------- Given:  1. A Line AB normal to…

Q: Given: CA = CB, AD BD Prove: C and D are on the perpendicular bisector of AB. C A

A: Perpendicular bisector is a line segment that divides a given line segment in to  two equal parts by…

Q: What information is needed to prove that MN_ is a perpendicular bisector to AB_?

A: Using perpendicular bisector Thereom,

Q: 1. Given: E and F are parallel planes, E contains AB, F contains CD, AC 1 F, and BD 1 F. Prove: AD…

A: It is given that AC⊥F,BD⊥F It is also given that the planes E and F are parallel, therefore AB∥CD…

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

A: We have to solve the problem

Q: 1. Use the diagram below to answer the following questions. a) Name all segments parallel to XT b)…

A: There are given diagrams. We have to describe the relationship as parallel, intersecting or skew for…

Q: CD is the perpendicular bisector of both XY and ST, and CY = 16. Find each length. 18. CT 19. TY 12…

A: Please consider the handwritten solution. It will definitely help you...

Q: In quadrilateral RSTU, RT and su intersect at point M, so that RM = TM and RS is parallel to TU.…

A: Given RSTU is a quadrilateral .RM=TMRS is parallel to TU

Q: a plane quadrilateral ond E drawn paralle I t is drawn in G. Prove that ABCD • Pont on AD is IS EF…

A: Given : ABCD is a plane quadrilateral and E is any point on AD.  EF is drawn parallel to DB to meet…

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

A: Given: As per the instruction, we will be proving ∆ADE≅∆CBE. We have that the parallelogram ABCD…

Q: Suppose ABCD and AB'C'D' are two squares in the plane that a) have rertex A in common, b) have the…

A: Let we have small letter corresponding to each vertex denotes the corresponding complex number.…

Q: All rhombuses and kites have diagonals that are perpendicular to each other. O True O False

A: True

Q: Consider the following quadrilateral with diagonals AC y DB that intersect at point E, furthermore,…

A: Using ASA criteria we can solve this

Q: Let z=x+iy  Let w=a+ib

A: To prove the equality of the two given angles

Q: Given: AE = AB = CD B is the midpoint of ED Prove: AAEB =ACBD C S 18

A: Given that, AE≅ CBAB≅ CDB is the midpoint of ED                                           To prove…

Q: Given: S is equidistant from E and D; V is equidistant from E and D. Prove: ŠV is the perpendicular…

A: Given figure:                                   Given:                      SE= SD [since both the…

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

A: Given data: The bigger length of the trapezium is DC=3AB. The below figure represent the trapezium…

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

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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: ∠ abc, rs is the perpendicular bisector of ab, rt is the perpendicular bisector of bc prove:…

A: Please look at the diagram on the white board.It should not take you long to realize that R is the…

Q: Show that w is in span(B) and find the coordinates of w with respect to B. B = 6.

A: Linear Algebra

Q: Given: ABCD is a parallelogram DC = BN Z3 = L4 Prove: ABCD is a rhombus B A 3 D

A: Parallelogram: It is a quadrilateral whose opposite sides are congruent and parallel. Rhombus: It is…

Q: In the coordinate plane, quadrilateral ABCD has vertices A(-2, 3), B(4, 5), C(10, -1), and D(8, -9).…

A: The mid-point joining the points x1,y1 and x2,y2 is represented as x1+x22,y1+y22.

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

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

A: Solution: To Prove △ADE≅△CBE

Q: In the given figure, PQRS is a quadrilateral in which A, C, B and D are the mid-points of PQ, QR, RS…

A: In the given figure, we connect A to C, A to D, B to C and B to D. Also draw a diagonal SQ

Q: Suppose two circles intersect at A and B. Let C and D be points А on one of the circles, let C'A…

A: Meet the point A to B.

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: On the sides of a triangle ABC, squares ABDE, ACFG, BCJK are constructed externally to it. BF, AJ,…

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