12.4 The Distance Formula Objectives: Use the distance formula to find the distance between 2 points in a coordinate plane. Determine whether a triangle is a right triangle. Apply the midpoint formula. Standard Addressed: A Use operations.
Ex. 1
Ex. 1 C. (4, 5) and (-5, 7) 9.22
Ex. 2
Ex. 2b. Given vertices P(-1, -2), Q (5, 2), and R (-3, 1), determine whether triangle PQR is a right triangle. Right Triangle
Ex , (7, 5)
Ex. 4a. The center M (3, 4). If one endpoint of a diameter is A (-4, 6), what is the other endpoint, B (x 2, y 2 )? 3 = x + (-4) 2 6 = -4 + x X = 10 4 = y = y + 6 y = 2 (10, 2)
Ex. 4b. If the center of a circle is M(-1, -2) and one endpoint of a diameter is A(4, 3), what is the other endpoint, B (x 2, y 2 )? -1 = x = 4 + x X = = y = 3 + y y = -7 (-6, -7)