The diagram shows several planes, lines, and points.
which statement is true about line h?
a. line h intersects line f at two points, a and b
b. line h is the intersection of planes r and t
c. line h intersects plane p at point c
d. line h has points on planes r, p, and t

According with the diagram and using the definitions of planes, lines, and points, the statement true about line h is:

d. Line h has points on planes R, P, and T.

Solution:

a. Line h intersects line f at point B, the the statement a. is false.

b. Line h is on plane R, but is not in the intesection of two planes. Line g is in the intersection of planes R and T,, then statement b. is false.

c. Line l intersects plane P at point C, then statement c. is false.

d. Line h has points on planes R, P, and T, then statement d. is true.

 The correct option is

(d)  Line h has points on planes R, P, and T.

Step-by-step explanation:  A diagram is given with several planes, lines and points.

We are to select the statement that is TRUE about the line h.

Option (a) is

"Line h intersects line f at two points, A and B".

From the diagram, we can see that line h intersects line f at only one point, point B.

So, the given statement is FALSE.

Option (b) is

"Line h is the intersection of planes R and T".

We can see from the diagram that the intersection of the planes R and T is line g, not line h.

So, the given statement is FALSE.

Option (c) is

"Line h intersects plane P at point C".

We can see that the line h intersects the plane P at point B, not at point C.

So, the given statement is FALSE.

Option (d) is

Line h has points on planes R, P, and T".

We can see that line h has point B, which lies on both planes R and P. Also, line h has a point A that lies on plane T.

So, line h has points that lie on the planes R, P and T.

Thus, the given statement is TRUE about line h.

Option (d) is TRUE.

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step-by-step explanation:

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