AB+ AD +CB+CD%D6.ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD isequal and parallel to BC.OABC is a square and the line segments OA, OB, OC are represented by thevectors a, b, e respectively. If D is the midpoint of BC, show that the line segmenta or (b+ c). Verify that each of21OD is represented by either e +a or b2.ation and y. What can you deduce about the directed line-segments BC and PQ74.ABC is a triangle. If D is the midpoint of AC, show that BA + BC 2BD.[BD is known as the median of the triangle ABC.]ABCD is a quadrilateral and P and Q are the midpoints of AC and BDrespectively. Show thatAB+ AD+CB+ CD 4 PQ.6.ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD isequal and parallel to BC.OABC is a square and the line segments OA, OB, OC are represented by thevectors a, b, c respectively. If D is the midpoint of BC, show that the line segmentOD is represented by either e+a or b-(b + c). Verify that each ofa orthese can be obtained from either of the others by using the relationb=a+c.ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP aand AQ b, find in terms of a and b, the directed line segments (i) AB, (ii) AD,iii) BD, (iv) AC.In a quadrilateral OABC, D is the midpoint of BC and E is the point on AD suchmat AE:ED 2: 1. Given that OA=a, OB-b, OC e, express OD and OE inms of a, b, c.ABC is a tetrahedron and OA a, OB-b and OC c. The points P and Q areh that OA AP and 20B- BQ. The point M is the midpoint of PQ. Find%3D() AB, (i) PQ. (ii) CQ, (iv) QM, (v) MB, (vi) OMErms of a, b and c.[For the definition of a tetrahedron, see Sec 1.10 Fir

I hope you are asking for question 6. We solve the given problem using congruent triangles. SAS…

Answered: ABCD is a quadrilateral with AB equal…

ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is equal and parallel to BC. nted by the

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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