1. a) Consider a regular hexagon ABCDEF as shown. Prove that AB + AC + AD + AE + AF = 3AD F B E D b) In triangle ABC, a median is drawn from vertex A to the midpoint of BC, which is labelled D. If AB = b and AC = č, prove that AD = b +C.

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A:

Q: Use these sum of even integers: 6 +26 = 32 4+ 24 = 28 Conjecture: the sum of any two even integers…

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A:

Q: 12) Find the scale factor of the line segment dilation. AB: endpoints (-1, -2) and (-2, -4) to A'B':…

A: topic- dilation

Q: a) Determine the perimeter of the triangle with vertices at A (0, −3, 0), B (−3, 0, 4) and C (2, 1,…

A:

Q: 5. In AABC A(-5,-1)¸ B(-3,5) C(9, 1). Use coordinates to a) identify the type of MBC (isosceles,…

A: Use the following formulae, to obtain the solution. The distance between the points x1,y1 and x2,y2…

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

A:

Q: If MZJMK = (8x – 13)' and M/LMK = (4x + 19)', find x. %3D

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

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A:

Q: Show that there is no “AAA" congruence theorem by sketching two triangles AABC and ADEF where ZBAC =…

A: Given: We have two triangles which are∆ABC and ∆DEF, Where, ∠BAC≅∠EDF,∠ABC≅∠DEF,∠ACB≅∠DFE

Q: fonthe bougaht we write an quakinn yo bmx+ fthe Cmve Seex

A: The slope of tangent to any equation is determined by finding its derivative. If y=tanx+tanx1+secx…

Q: Is the triangle ABC with vertices A(3, 2, -1), B(6.3.0) and C(-3, 1, 4) acute, right or obtuse? Note…

A: Given :A3,2,-1B6,3,0C-3,1,4

Q: AB²+ AC² = 2(AO² + BO²) e O is the middle point of BC.

A: Part A