Question

select all the correct answers. which statements about points c and d are true? the ruler placement postulate says that if c is zero, the coordinate of d is negative. the ruler placement postulate says that d cannot be set at zero. the distance postulate says that there is a positive number called the distance between points c and d. the ruler placement postulate says that either c or d can be set as zero. the distance postulate says that there is a negative number called the distance between the points.

Explanation:

Step1: Recall ruler - placement postulate

The ruler - placement postulate states that given two points on a line, either point can be assigned the coordinate 0. So, if C is zero and D is below C, the coordinate of D is negative. Also, either C or D can be set at zero.

Step2: Recall distance postulate

The distance between two points is always a non - negative number. It represents the length between the two points, and length cannot be negative.

Answer:

The ruler placement postulate says that if C is zero, the coordinate of D is negative.
The distance postulate says that there is a positive number called the distance between points C and D.
The ruler placement postulate says that either C or D can be set as zero.