Answer:
3) A line has one dimension, length. (True)
5) A plane is made up of an infinite collection of lines. (True)
Explanation:
Geometry has three undefined terms:
a) point
b) line
c) plane
Examining the given statements:
1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.
2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.
3) A line has exactly one dimension, which is its length. (True)
4) A point consists of countless lines — this is false; actually, a line consists of infinite points.
5) A plane consists of an unending set of lines. (True)
This represents a difference of squares:
(16a^4 - b^4)
= (4a^2 + b^2)(4a^2 - b^2)
Furthermore, the second bracket can be simplified as it is also a difference of two squares:
(4a^2 + b^2)(4a^2 - b^2)
= (4a^2 + b^2)(2a - b)(2a + b)
