(1) There are 12 points A, B, ... in a given plane, no three on the same line. The number of triangles are determined by the points such that contain the point A as a vertex is: (a) 65 a b O c O d (b) 55 (c) 75 (d) 66

Q: Using only the given lines joining the labeled points, how many triangles are there in this figure?…

A: Here the triangles are, ∆AFD , ∆FCD, ∆FBD, ∆AEC, ∆AFE, ∆EAD, ∆ADC,∆AFC, ∆ABF, ∆BFC, ∆ABD, ∆CED, ∆BCD…

Q: Determine the point that lies midway between the two given points. (0,2) and 6 (:) The point midway…

A: we have to find

Q: 7 a.) Find the coordinate of B if the midpoint of AB is at and A is at (– 5, – 2). 2 - A is at: b.)…

A: Mid point of a line joining two points (x1,y1) & (x2,y2) is M(x,y) = x1+x22, y1+y22

Q: A rectangle has two vertices on the x-axis, two vertices on the y-axis, and one vertex at the point…

A:

Q: 3. Quadrilateral PQRS has vertices P(-2, 3), Q(4, 5), R(2, –3), and S(-4, –5). Parallelogram. The…

A: Plotting these points on a rough space gives better idea of the figure.

Q: (2) GIVEN: The three points in R³: B C = A = (1,0,1) (1,2,1) (1,1,– 2) FIND: a) the measure of ZACB,…

A: Given three points in R3 are         A = 1, 0, 1  ,   B = 1, -2, 1   ,  C =  1, 1, -2…

Q: Triangle ABC has vertices with A(x,3), B(-3,-1), and C(-1,-4). Determine and state a value ofx that…

A:

Q: The points A(- 1, 2,- 1), B(2, - 1, 3) and D(- 3, 1,- 3) are 3 vertices of parallelogram ABCD. Find:…

A: Given that the parallelogram ABCD with vertices The rough figure of parallelogram ABCD

Q: 20) The vertices of APIG are P(0, 3), 1(5, 5), and G(3, 10). What type of triangle is it? O Scale O…

A: The vertices of △PIG are P0,3 , I5,5 and G3,10

Q: 6. 5 F 4 3 B. -8 -6 -5 -4 -3 -2 -1 -1 -2 L 2.

A:

Q: Let the vertices of parallelogram MNPQ be the points M(0,0), N(a,0), P(a+b,c), and Q(b,c). Which…

A: Consider a parallelogram MNPQ with vertices  M(0,0), N(a,0), P(a+b,c), and Q(b,c)

Q: 11. The points P(-2, 1), Q(-6, 4), and R(4, 3) are three vertices of parallelogram PQRS. a) Find the…

A: (a)P(-2,1), Q(-6,4), R(4,3)PQRS is a parallelogram ,…

Q: Consider the points a, b, c, d and the lines L, M in the following figure.

A: Given a graph containing the points a, b, c, d and lines L, M

Q: 4. a) Show that the points P(2,5,1), Q(4,6,3), R(-1,-5,2) and S(-3,-7,0) create a parallelogram b)…

A: