Question

4.) which postulate states if two lines intersect, then their intersection is exactly one point * 2 points
a.) postulate 6
b.) postulate 7
c.) postulate 10
d.) postulate 11

5.) which definition/property allows justifies this; if yx = ac, and ac = fg, then xy = fg * 2 points
division property of equality
transitive property of equality
segment addition postulate
substitution property of equality

Explanation:

For question 4, in geometry, the postulate that if two lines intersect, their intersection is exactly one - point is Postulate 10. For question 5, the Transitive Property of Equality states that if a = b and b = c, then a = c. Here, since YX = AC and AC = FG, then XY = FG by the Transitive Property of Equality.

Answer:

1. c. Postulate 10
2. Transitive Property of Equality