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.

Q: What is the area of the triangle ABC with vertices А(1,2, 3), В(2,4, 3), C(1, 2, 0) ? Select one: O…

A:

Q: 2. Explain why Corollary 2 is true. That is, explain how the fact that MXN is a semicircle leads to…

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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: 7- Points A (2,4), B (0,0) and c (-2,1) define a triangle in a plane. Find angle ABC to the nearest…

A:

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

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Q: Find the measure of each interior angle in the given polygon. A decagon in which the measures of the…

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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: If D is the triangle with vertices (0,0), (40,0), (40,25), then dA=

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Q: in standard position, and the unit circle. The value of b can be written in t are whole numbers. ues…

A: we will find the required.

Q: 3. Let a = -i+ 3j + 2k and b = 4i + 5j+ 2k. Don’t evaluate the square roots for the lengths except…

A: Given that                    a→=-i^+3j^+2k^                     b→=4i^+5j^+2k^  We know that the…

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A: We have to find angle

Q: Show that a triangle with vertices at A(−1, 2), B(4, 1), and C(5, 6) is isosceles. Distance from…

A:

Q: In the trapezoid TXYZ, TX = 5ZY. If the diagonals meet at 0, find an expression for TO in terms of…

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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: 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

Q: . Determine if AABC is a right-angled triangle, given A(1, 6, −2), B(2, 5, 3), and C(5, 3, 2).

A: Find the squares of all the sides of the triangle and then observe them

Q: Let ABCDEF is a regular hexagon with centre O. Let ā = 0A, b= OB and so on. Explain why/prove %3D…

A: We know that in an regular hexagon the distance from center to any vertex is same, then the…

Q: In triangle ABC. AB = 7 and BC = 7 . Write the theorem that allows you to conclude that B is on the…

A: Consider the triangle ABC with AB=7 and BC=7. Since AB=BC=7, So the triangle ABC would be an…