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9.04 Parallel and perpendicular lines

Adaptive
Worksheet

Interactive practice questions

Consider the given relations between lines:

$\bullet\text{ }p\parallel q$ pq

$\bullet\text{ }p\perp r$ pr

$\bullet\text{ }q\perp s$ qs

a

What is the relationship between the lines $q$q and $r$r?

Parallel

A

Perpendicular

B
b

What is the relationship between the lines $p$p and $s$s?

Parallel

A

Perpendicular

B
c

What is the relationship between the lines $r$r and $s$s?

Parallel

A

Perpendicular

B
Easy
1min

In the following figure it is given that $m\perp p$mp and $m\parallel n$mn.

Which two of the following relationships are true?

Easy
< 1min

In the following figure $a\perp d$ad.

Which of the following conditions would make $c\parallel d$cd?

Easy
< 1min

Select the two relationships that can be deduced from the given figure.

Easy
< 1min
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Outcomes

M1.G.CO.B.3

Use definitions and theorems about lines and angles to solve problems and to justify relationships in geometric figures.

M1.G.CO.C.5

Perform formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

M1.G.CO.C.6

Use geometric constructions to solve geometric problems in context, by hand and using technology.*

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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