Coordinate Geometry and Nets Online Unit test

Question

ANSWERS TO ALL 18 QUESTIONS

Answer 1

1. What is the equation of the line passing through the points (2, 3) and (5, 7)?

The equation of the line passing through the points (2, 3) and (5, 7) is y = 2x - 1.

2. What is the slope of a line parallel to the line with equation y = 3x - 2?

The slope of a line parallel to the line with equation y = 3x - 2 is 3.

3. What is the equation of a line perpendicular to the line with equation y = -4x + 6 and passing through the point (2, -3)?

The equation of the line perpendicular to y = -4x + 6 and passing through the point (2, -3) is y = 1/4x - 1/2.

4. What are the coordinates of the midpoint of the line segment with endpoints at (2, 4) and (-2, 6)?

The coordinates of the midpoint of the line segment with endpoints at (2, 4) and (-2, 6) are (0, 5).

5. Find the distance between the points (3, 4) and (7, 8).

The distance between the points (3, 4) and (7, 8) is 5.65685 units.

6. What is the equation of the circle with center (2, -3) and radius 5?

The equation of the circle with center (2, -3) and radius 5 is (x-2)^2 + (y+3)^2 = 25.

7. Find the equation of the hyperbola with foci at (1, 2) and (-1, 2) and vertices at (3, 2) and (-3, 2).

The equation of the hyperbola is (x-0)^2 - (y-2)^2 = 1.

8. What is the surface area of a rectangular prism with dimensions 4 cm x 5 cm x 6 cm?

The surface area of the rectangular prism is 148 cm^2.

9. Calculate the volume of a cube with side length of 3 cm.

The volume of the cube is 27 cm^3.

10. Determine the surface area of a cylinder with radius 2 cm and height 7 cm.

The surface area of the cylinder is 88 cm^2.

11. What is the formula for the area of a triangle?

The formula for the area of a triangle is A = 1/2 * base * height.

12. Calculate the volume of a rectangular prism with dimensions 8 cm x 5 cm x 3 cm.

The volume of the rectangular prism is 120 cm^3.

13. Find the surface area of a cone with radius 4 cm and slant height 6 cm.

The surface area of the cone is 80.7854 cm^2.

14. Determine the volume of a sphere with radius 5 cm.

The volume of the sphere is 523.6 cm^3.

15. What is the formula for the volume of a pyramid?

The formula for the volume of a pyramid is V = 1/3 * base area * height.

16. Calculate the surface area of a rectangular prism with dimensions 10 cm x 6 cm x 4 cm.

The surface area of the rectangular prism is 208 cm^2.

17. Find the volume of a cylinder with radius 3 cm and height 8 cm.

The volume of the cylinder is 226.195 cm^3.

18. Determine the surface area of a sphere with radius 6 cm.

The surface area of the sphere is 452.39 cm^2.