Question

geometry
homework
1.01: swbat define the types of lines and label and write them using proper notation
show all of your work and annotations for full credit

#1.) use the diagram below to answer the following questions with proper notations:
a. **what is another name for \\(\overline{zy}\\)?
b. **name all rays with endpoint v.
c. name two pairs of opposite rays.
d. *give another name for \\(\overline{wv}\\).

#2.) decide whether the following scenarios represent a line, ray, or segment. then sketch what it would look like on the number line.
a. grades for this assignment will range from 81 to 88.
line ray segment
b. *a student works at least 4 hours after school
line ray segment

**#3.) draw it out! plot three noncollinear points j, k and l. then, connect points j and k to sketch \\(\overline{jk}\\). add a point m on \\(\overline{jk}\\). then, sketch \\(\overline{ml}\\).

*#4.) baymax’s eyes are an example of which line?
image of baymax
line
line segment
ray
point

Explanation:

1a. Another name for $\boldsymbol{\overline{ZY}}$

A line segment can be named by its two endpoints in either order. So, $\overline{ZY}$ can also be named $\overline{YZ}$ because the segment between $Z$ and $Y$ is the same regardless of the order of the endpoints.

A ray is named by its endpoint first, then another point on the ray. From the diagram, the rays with endpoint $V$ are:

• Ray going through $W$: $\overrightarrow{VW}$
• Ray going through $X$: $\overrightarrow{VX}$
• Ray going through $Z$: $\overrightarrow{VZ}$
• Ray going through $Y$: $\overrightarrow{VY}$

Opposite rays are two rays that share the same endpoint and form a straight line (180 degrees).

• Pair 1: $\overrightarrow{VW}$ and $\overrightarrow{VX}$ (they share endpoint $V$ and form a straight line along line $t$)
• Pair 2: $\overrightarrow{VZ}$ and $\overrightarrow{VY}$ (they share endpoint $V$ and form a straight line along line $s$)

Answer:

$\overline{YZ}$

1b. Rays with endpoint $\boldsymbol{V}$