Question

n-gen math® 8 homework
fluency

1. on the diagram below, points a, b, c, and d are plotted.

(a) draw lines \\(\overline{ab}\\) and \\(\overline{cd}\\). \t (b) draw a point where the two lines intersect (cross) and label it e.
(c) you should now have five points shown in the diagram: a, b, c, d, and e. give two sets of three points below that are collinear.
set #1: \t set #2:

1. given the three non - collinear points shown below, do the following:

(a) draw rays \\(\overline{pq}\\) and \\(\overline{pr}\\)
(b) together the two rays that you drew can be considered a single geometric object. what do we call two rays joined at the same starting point?
n - gen math® 8, unit 2 – tools of geometry - lesson 1
©mathinstruction, red hook, ny 12571, © 2020

Explanation:

Problem 1(c)

Step1: Recall collinear definition

Collinear points lie on the same line. From part (a) and (b), line $\overleftrightarrow{AB}$ contains points A, B, E (since E is the intersection of $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$), and line $\overleftrightarrow{CD}$ contains points C, D, E.

Step2: Identify collinear sets

Set #1: A, B, E (all on $\overleftrightarrow{AB}$)
Set #2: C, D, E (all on $\overleftrightarrow{CD}$)

Problem 2(b)

Two rays with the same starting point form an angle. A ray has a fixed starting point and extends infinitely in one direction; when two such rays share the same starting point (vertex), they create an angle.

Answer:

Angle

Final Answers (for each sub - question):

1(c) Set #1: A, B, E; Set #2: C, D, E
2(b) Angle