91Ó°ÊÓ

Given: Points \(R(-4,5), S(-1,9), T(7,3)\) and \(U(4,-1)\) a. Show that \(R S T U\) is a rectangle. b. Use the distance formula to verify that the diagonals are congruent.

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? $$A(0,3), B(-2,1), C(3,6)$$

Find the slope and length of \(\overline{A B}\). \(A(-3,-2), B(7,-6)\)

Use a grid and draw arrows to represent the following vectors. You can choose any starting point you like for each vector. $$(-6,-9) \text { and } \frac{1}{3}(-6,-9)$$

Use a grid and draw arrows to represent the following vectors. You can choose any starting point you like for each vector. \((4,1)\) and \(-3(4,1)\)

Given: Points \(N(-1,-5), O(0,0), P(3,2),\) and \(Q(8,1)\) a. Show that \(N O P Q\) is an isosceles trapezoid. b. Show that the diagonals are congruent.

Find the slope and length of \(\overline{A B}\). \(A(8,-7), B(-3,-5)\)

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? $$A(5,-5), B(0,5), C(2,1)$$

a. Given points \(R(1,0), S(7,4),\) and \(T(11,-2),\) show that \(\triangle R S T\) is isosceles. b. The altitude from the vertex meets the base at \(K\). Find the coordinates of \(K\)

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. $$y=2 x+3$$