Coordinate Geometry and nets test answers connexus

Answer 1

1. The equation of the line passing through points (-2, 4) and (3, 7) is y = x + 6.

2. The equation of the line in slope-intercept form passing through point (5, 2) and with a slope of -4 is y = -4x + 22.

3. The midpoint of the line segment with endpoints (1, 3) and (4, 7) is (2.5, 5).

4. The length of the line segment with endpoints (2, 3) and (6, 7) is 5.66 units.

5. The coordinates of the centroid of triangle XYZ with vertices at (1, 1), (3, 5), and (6, 3) are (3.33, 3).

6. The area of the triangle with vertices at (2, 5), (5, 2), and (7, 0) is 9 units squared.

7. The equation of the line perpendicular to the line passing through points (1, 2) and (4, 5) and passing through point (2, 6) is y = -x + 8.

8. The net of a three-dimensional figure that has 6 faces, 12 edges, and 8 vertices is a cube.

9. The net of a three-dimensional figure that has 5 faces, 5 vertices, and 8 edges is a square pyramid.

10. The net of a three-dimensional figure that has 6 faces, 8 vertices, and 12 edges is a rectangular prism.