Question

name
homework
points, lines, and planes
refer to the figure for exercises 1 - 4.

1. which points are only on plane a?
2. name the intersection of lines y and z.
3. name the plane containing the lines w and x.
4. are points f, m, k, and g coplanar? explain.

refer to the figure for exercises 14 - 16.

1. how many planes are shown in the figure?
2. which side of the cube is coplanar with plane p?
3. are points h, e, a, and b coplanar? explain.

points, lines, and planes

Explanation:

Step1: Identify points on plane A

Points C and D are only on plane A.

Step2: Find intersection of lines

Lines y and z intersect at point J.

Step3: Name the plane

The plane containing lines w and x is plane A.

Step4: Determine coplanarity

Points F, M, K, and G are not coplanar because they do not lie on the same flat - surface.

Step14: Count planes

There are 5 planes shown in the figure.

Step15: Identify coplanar side

Side ABCD of the cube is coplanar with plane P.

Step16: Determine coplanarity

Points H, E, A, and B are not coplanar as they do not all lie on the same plane.

Answer:

1. C, D
2. J
3. Plane A
4. No, they do not lie on the same flat - surface.
5. 5
6. Side ABCD
7. No, they do not all lie on the same plane.