Analytic Geometry Test
Chapter
Chapter 2
Section
Analytic Geometry Test
Purchase this Material for $4
You need to sign up or log in to purchase.
Solutions 8 Videos

An underground cable is going to be laid between points A(-6,23) and B(14, -12).

a) If each unit represents 1 m, what length of cable will be needed? Give your answer to the nearest metre.

b) An access point will be located halfway between the endpoints of the cable. At what coordinates should the access point be built?

Buy to View
Q1

A stone is tossed into a pond, creating a circular ripple. The radius of the ripple increases by 12 cm/s.

a) Write an equation that describes the ripple exactly 3 s after the stone lands in the water. Use the origin as the point where the stone lands in the water.

b) A bulrush is located at point (-36, 48). When will the ripple reach the bulrush?

Buy to View
Q2

The triangle at the bottom has vertices at A(1, 2), B(-3, - 1), and C(0, -5). Use analytic geometry to show that the triangle is an isosceles right triangle.

Buy to View
Q3

The corners of a building lot are marked at P(-39, 39), Q(-78, - 13), R(26, -91), and S(65, -39) on a grid.

a) Verify that PQRS is a rectangle.

b) What is the perimeter of the building?

Buy to View
Q4

Quadrilateral JKLM has vertices at J(2, 4), K(6, 1), L(2, -2), and M(-2, 1). What type of quadrilateral is JKLM?

Buy to View
Q5

Three straight paths in a park form a triangle with vertices at A(-24, 16), B(56, -16), and C(-72, -32). A new fountain is the same distance from the intersections of the three paths. Determine the location of the new fountain.

Buy to View
Q6

Explain how you can use analytic geometry to calculate the distance from a known point to a line that passes through two other known points.

Buy to View
Q7

The sides of a triangle are defined by the equations x + 2y -2 = 0, 2x - y - 4 = 0, and 3x + y + 9 = 0. Determine the type of triangle that is formed by these three sides.

Buy to View
Q8