Question

identify the postulate illustrated by the statement: plane j and plane k intersect at line $overleftrightarrow{jk}$. postulate 1.2c: if two points lie on a plane, then the line that contains those two points also lies on the plane. postulate 1.2b: through any three noncollinear points there is exactly one plane. postulate 1.2a: through any two points there is exactly one line. postulate 1.2e: if two planes intersect, they intersect in exactly one line. 12. choose the best answer. identify the postulate illustrated by the statement: point f and point g lie on plane r, so line $overleftrightarrow{fg}$ lies on plane r. postulate 1.2a: through any two points there is exactly one line. postulate 1.2d: if two lines intersect, they intersect at exactly one 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.

Explanation:

1. The statement "Plane $J$ and plane $K$ intersect at line $\overleftrightarrow{JK}$" follows the concept that when two planes intersect, they intersect in exactly one line, which is Postulate 1.2E.
2. The statement "Point $F$ and point $G$ lie on plane $R$, so line $\overleftrightarrow{FG}$ lies on plane $R$" is in - line with the postulate that if two points lie on a plane, then the line containing those two points also lies on the plane, which is Postulate 1.2C.

Answer:

1. Postulate 1.2E: If two planes intersect, they intersect in exactly one line.
2. Postulate 1.2C: If two points lie on a plane, then the line that contains those two points also lies on the plane.