Question

select the correct answer from each drop - down menu
complete the sentence to describe the distance and ruler postulates
between every pair of distinct points, there is a positive unique number called the, which can be determined as
the of the corresponding real numbers of the
distance
axiom
line
reset

Explanation:

The first blank refers to the positive unique number between two distinct points, which is defined as distance. The second blank describes how this value is found from the real numbers assigned to the points on a ruler; this is the absolute difference (though the term here aligns with "absolute value" of the difference, but the core term for the measurement is distance, and the operation is the absolute difference, but the drop-down context confirms the first term is distance, and the second relevant term for the operation is the absolute value of the difference, but given the sentence structure, the first blank is "distance" as it's the name of the number, and the second blank is "absolute difference" (but based on the ruler postulate, the distance between two points is the absolute value of the difference of their coordinates).

Answer:

First drop-down (blank 1): distance
Second drop-down (blank 2): absolute difference (absolute value of the difference)

Note: Based on the ruler postulate, the full completed sentence is: Between every pair of distinct points, there is a positive unique number called the distance, which can be determined as the absolute value of the difference of the corresponding real numbers of the points.