91Ó°ÊÓ

Given points \(A, B,\) and \(C .\) Find \(A B, B C,\) and \(A C .\) Are \(A, B,\) and \(C\) collinear? If so, which point lies between the other two? $$A(-5,6), B(0,2), C(3,0)$$

Find the slope and length of \(\overline{A B}\). \(A(0,-9), B(8,-3)\)

Use a grid and draw arrows to represent the following vectors. You can choose any starting point you like for each vector. $$(6,-4) \text { and }-\frac{1}{2}(6,-4)$$

Decide what special type of quadrilateral \(H I J K\) is. Then prove that your answer is correct. \(H(0,0)\) \(I(5,0)\) \(J(7,9)\) \(K(1,9)\)

Find the slope and \(y\) -intercept of each line. Plot the \(y\) -intercept. Then, using the slope, plot one more point. Finally, graph the line. $$y=-4 x$$

Find the midpoints of the legs, then the length of the median of the trapezoid with vertices \(C(-4,-3), D(-1,4), E(4,4),\) and \(F(7,-3)\).

A point \(P\) on a line and the slope of the line are given. Sketch the line and find the coordinates of two other points on the line. \(P(-2,1) ;\) slope \(=\frac{1}{3}\)

Given points \(A, B,\) and \(C .\) Find \(A B, B C,\) and \(A C .\) Are \(A, B,\) and \(C\) collinear? If so, which point lies between the other two? $$A(3,4), B(-3,0), C(-1,1)$$

Find the slope and \(y\) -intercept of each line. Plot the \(y\) -intercept. Then, using the slope, plot one more point. Finally, graph the line. $$y=\frac{3}{4} x+1$$

Find the length of the longest median of the triangle with vertices \(X(-2,3), Y(6,-3),\) and \(Z(4,7)\).