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Transcript
Section 3.1 Properties of Parallel Line - Homework
Name________________________
Complete the sentences below with the words “Supplementary” or “Congruent”:
1.)
2.)
3.)
4.)
5.)
If a transversal intersects two parallel lines, then corresponding angles are _______________________.
If a transversal intersects two parallel lines, then alternate interior angles are _______________________.
If a transversal intersects two parallel lines, then same-side interior angles are _______________________.
If a transversal intersects two parallel lines, then alternate exterior angles are _______________________.
If a transversal intersects two parallel lines, then same-side exterior angles are _______________________.
Find the m<1 and m<2 in each figure below:
6.)
8.)
10.) Solve for p.
7.)
9.)
11.) Solve for x.
12.) Solve for x and y. (Hint: 2 variables means you will need 2 equations!)
13.) Engineers are laying pipe below ground on opposite sides
of the street as shown here. To join the pipe, workers on each
side of the street work towards the middle.
a. If one team lays pipe at the angle shown,
what should the other team use for m<1?
b. These two angles are what type of angle pair?
14) Complete the following two-column proof.
Given:
a || b
Prove:
<1 supplementary to <2
Hint: Use the Corresponding angles postulate!
Statement
Reason
15) Name the two lines and transversal that forms each pair of angles (you will be naming these lines with
two points. Ex: SQ, SP, SR, etc). Then classify the pair of angles.
a) <2 and <3
b) <1 and <4
c) <SPQ and <PQR
d) <5 and <PSR