Question

1.name a point that is coplanar
with point C, G, and F.

2.name the intersection of plane AEH, and plane FBE.

3.name the intersection of plane BGF and plane HDG.

4.name the intersection of plane FEA and plane DAB.

5.Name a segment parallel to EF.​

Answer 1

1.point B 2.point G 3.E 4.D 5.H

Answer 2

• Point B

• Line segment AE

• Line segment GC

• Line segment AB

• Line segment HG

GIVEN

ABCD is a cuboid.

TO FIND

1.name a point that is coplanar

with points C, G, and F.

2. name the intersection of plane AEH and plane FBE.

3. name the intersection of plane BGF and plane HDG.

4. name the intersection of plane FEA and plane DAB.

5. Name a segment parallel to EF.

SOLUTION

We can simply solve the above problem as follows -

We know that A line or a point is said to be co-planar if they are present in the same plane.

In the given figure, Points C, G, F, and B are in the same plane.

Hence, point B is co-planar with points C, G, and F.

We know that only non-parallel planes intersect each other.

Plane AEH and plane FBE intersect at the line segment AE.

Similarly,

Plane BGF and Plane HDG intersect at the line segment GC

And,

The line of intersection of Plane DAB and FEA is AB.

Two line segments are parallel if there is an equal distance between every point of the line segments is equal.

Using this rule, the line segment parallel to EF is HG

Hence, The answers are -

• Point B

• Line segment AE

• Line segment GC

• Line segment AB

• Line segment HG

#SPJ2