Question

1. points d and e are aligned with a ruler. point d is at the mark for 4.5 cm, and the distance between points d and e is 3.4 cm. at which two marks on the ruler could point e be located? 8. point n is the midpoint of fg. if fn = 2x, what expression represents fg? 9. reason abstractly. does a ray have a midpoint? explain. 10. give an example that illustrates the segment addition postulate. include a sketch with your example. 11. what is lm? l m -5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

7.

Step1: Consider E to the right of D

Add the distance between D and E to the position of D. So, $4.5 + 3.4=7.9$ cm.

Step2: Consider E to the left of D

Subtract the distance between D and E from the position of D. So, $4.5 - 3.4 = 1.1$ cm.

Since N is the mid - point of FG, then FG is twice the length of FN. Given FN = 2x, we multiply by 2.

A ray has one endpoint and extends infinitely in one direction. The mid - point is the middle of a finite line segment. Since a ray is infinite in one direction, it has no definite middle.

Answer:

Point E could be at the 1.1 - cm mark or the 7.9 - cm mark.

8.