Question

use the figure to the right. determine whether each statement is true or false. if false, change the statement to make it true.

1. points e, j, and h are collinear.
2. points f and d are collinear.
3. points a, f, and b are coplanar.
4. points a, f, and h are coplanar.
5. points a, c, d, and h are coplanar.
6. ac and ec are coplanar.
7. plane abc intersects plane aij in ac.
8. ij intersects eg at point i.
9. planes egh and cdh intersect in point h.
10. planes egh and j intersect in point j.

Explanation:

Step1: Check collinearity and coplanarity

Use geometric definitions and check figure.

Step2: Analyze plane - line intersections

Examine intersection of planes and lines.

Answer:

1. False. Points E, J, H not collinear.
2. False. Points F, D not collinear.
3. True.
4. True.
5. True.
6. True.
7. True.
8. True.
9. True.
10. True.