Question

list at least 5 things in your home that remind you of line segments.
use a straightedge to complete problems 2 and 3.
2 a. draw and label line ef. b. draw and label line segment ef.
c. explain how your drawings of line ef and line segment ef are different.
3 a. draw and label ray sr.
b. anita says ray sr can also be called ray rs. do you agree? explain.
4
name the parallel line segments.
practice
5
9 6 4

• 3 4 8

6
6 6 2

• 4 9 7

7
2, 4 2 3

• 1, 4 9 1

Explanation:

Step1: List line - segment - like objects

A line segment has two endpoints. In a home, objects such as a pencil (has two ends), a book's edge (two endpoints of the edge), a table leg (two ends), a ruler (two ends), a chopstick (two ends) can be considered as resembling line segments.

Step2: Draw line EF and line segment EF

• For line EF: A line extends infinitely in both directions. So, draw a straight line and label two points on it as E and F.
• For line segment EF: A line segment has two endpoints. Draw a straight line with distinct endpoints labeled E and F.

Step3: Explain the difference

A line (like line EF) has no endpoints and extends infinitely in both directions. A line segment (like line segment EF) has two definite endpoints (E and F) and has a finite length.

Step4: Draw ray SR

A ray has one endpoint (S) and extends infinitely in one direction (towards R). So, mark a point S, then draw a straight line starting at S and going through R (and extending beyond R).

Step5: Analyze ray naming

A ray is named by its endpoint first. Ray SR has endpoint S and extends towards R. Ray RS would have endpoint R and extend towards S. So, they are different rays. Anita is wrong.

Step6: Identify parallel line segments in the trapezoid

In a trapezoid, by definition, there is one pair of parallel sides. In trapezoid \(WXTS\), \(\overline{WX}\) and \(\overline{ST}\) are parallel.

Step7: Perform subtraction (for problems 5 - 7)

• Problem 5:

$$
LATEXBLOCK0
$$

• Problem 6:

$$
LATEXBLOCK1
$$

• Problem 7:

$$
LATEXBLOCK2
$$

Answer:

1. Pencil, book's edge, table leg, ruler, chopstick.
2. a. Draw an infinite - extending line labeled EF. b. Draw a line with endpoints E and F labeled EF. c. Line EF is infinite, line segment EF is finite.
3. a. Draw a ray with endpoint S extending towards R. b. No. Ray SR has endpoint S, ray RS has endpoint R.
4. \(\overline{WX}\) and \(\overline{ST}\).
5. \(616\)
6. \(165\)
7. \(932\)