Question

Identify the postulate illustrated by the statement: Line and line intersect at point .
Postulate 1.2B: Through any three noncollinear points there is exactly one plane.
Postulate 1.2C: If two points lie on a plane, then the line that contains those two points also lies on the plane.
Postulate 1.2E: If two planes intersect, they intersect in exactly one line.
Postulate 1.2D: If two lines intersect, they intersect at exactly one point.
Postulate 1.2A: Through any two points there is exactly one line.

Answer 1

Answer:

I gusee third one

hope its help you

Answer 2

Given :  Line AB and line CD  intersect at point  P

To Find : Identify the postulate illustrated

Postulate 1.2B: Through any three noncollinear points there is exactly one plane.

Postulate 1.2C: If two points lie on a plane, then the line that contains those two points also lies on the plane.

Postulate 1.2E: If two planes intersect, they intersect in exactly one line.

Postulate 1.2D: If two lines intersect, they intersect at exactly one point.

Postulate 1.2A: Through any two points there is exactly one line.

Solution:

Line AB and line CD  intersect at point  P

Hence information is about 2 lines and a  point

There is no Information given about plane

Hence Below 3 are not Possible

Postulate 1.2B: Through any three noncollinear points there is exactly one plane.

Postulate 1.2C: If two points lie on a plane, then the line that contains those two points also lies on the plane.

Postulate 1.2E: If two planes intersect, they intersect in exactly one line.

Through any two points there is exactly one line.

This talks about two points and one line  Hence this is also not possible

Postulate 1.2D: If two lines intersect, they intersect at exactly one point. is the postulate illustrated by the statement:  Line AB and line CD  intersect at point  P

Two Lines can either be parallel ( non intersecting )

or Two Lines can  be  intersecting

or  Two Lines can  be  coinciding

Hence Correct answer is :

Postulate 1.2D: If two lines intersect, they intersect at exactly one point.

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