We assume that, since the lines are parallel, Corresponding Angles are congruent - for example ∠ 5 ≅ ∠ 1 \angle5\cong\angle1 ∠ 5 ≅ ∠ 1 . Check any box with Corresponding Angles.

∠ 3 a n d ∠ 7 \angle3\ and\ \angle7 ∠ 3 a n d ∠ 7

∠ 4 a n d ∠ 8 \angle4\ and\ \angle8 ∠ 4 a n d ∠ 8

∠ 2 a n d ∠ 6 \angle2\ and\ \angle6 ∠ 2 a n d ∠ 6

∠ 1 a n d ∠ 2 \angle1\ and\ \angle2 ∠ 1 a n d ∠ 2

Suppose we assume that ∠ 5 ≅ ∠ 1 \angle5\cong\angle1 ∠ 5 ≅ ∠ 1 . What is true about ∠ 1 a n d ∠ 4 \angle1\ and\ \angle4 ∠ 1 a n d ∠ 4 ?

∠ 1 ≅ ∠ 4 \angle1\cong\ \angle4 ∠ 1 ≅ ∠ 4 because they are vertical angles

∠ 1 a n d ∠ 4 \angle1\ and\ \angle4 ∠ 1 a n d ∠ 4 form a linear pair, so are supplementary

∠ 1 a n d ∠ 4 \angle1\ and\ \angle4 ∠ 1 a n d ∠ 4 are adjacent angles which share a side

∠ 1 a n d ∠ 4 \angle1\ and\ \angle4 ∠ 1 a n d ∠ 4 are right angles

If ∠ 5 a n d ∠ 4 \angle5\ and\ \angle4 ∠ 5 a n d ∠ 4 and ∠ 3 a n d ∠ 6 \angle3\ and\ \angle6 ∠ 3 a n d ∠ 6 are both pairs of Alternate Interior Angles, click any Alternate Exterior Angles below.

∠ 2 a n d ∠ 7 \angle2\ and\ \angle7 ∠ 2 a n d ∠ 7

∠ 1 a n d ∠ 8 \angle1\ and\ \angle8 ∠ 1 a n d ∠ 8

∠ 3 a n d ∠ 2 \angle3\ and\ \angle2 ∠ 3 a n d ∠ 2

∠ 7 a n d ∠ 8 \angle7\ and\ \angle8 ∠ 7 a n d ∠ 8

If ∠ 2 a n d ∠ 4 \angle2\ and\ \angle4 ∠ 2 a n d ∠ 4 form a linear pair, then

m ∠ 2 + m ∠ 4 = 180 ° m\angle2+m\angle4=180\degree m ∠ 2 + m ∠ 4 = 1 8 0 °

∠ 2 ≅ ∠ 4 \angle2\cong\angle4 ∠ 2 ≅ ∠ 4

∠ 2 a n d ∠ 4 \angle2\ and\ \angle4 ∠ 2 a n d ∠ 4 are right angles

So, if m ∠ 2 + m ∠ 4 = 180 ° m\angle2+m\angle4=180\degree m ∠ 2 + m ∠ 4 = 1 8 0 ° and m ∠ 6 = m ∠ 2 m\angle6=m\angle2 m ∠ 6 = m ∠ 2 , we can substitute to get this equation: m ∠ 6 + m ∠ 4 = 180 ° m\angle6+m\angle4=180\degree m ∠ 6 + m ∠ 4 = 1 8 0 ° . Conclude

∠ 6 a n d ∠ 4 \angle6\ and\ \angle4 ∠ 6 a n d ∠ 4 are supplementary (sum to 180 ° 180\degree 1 8 0 ° )

∠ 6 a n d ∠ 4 \angle6\ and\ \angle4 ∠ 6 a n d ∠ 4 are complementary (sum to 90 ° 90\degree 9 0 ° )

∠ 6 a n d ∠ 4 \angle6\ and\ \angle4 ∠ 6 a n d ∠ 4 are adjacent

∠ 6 a n d ∠ 4 \angle6\ and\ \angle4 ∠ 6 a n d ∠ 4 form a linear pair

If lines are parallel, same side interior angles like ∠ 4 a n d ∠ 6 \angle4\ and\ \angle6 ∠ 4 a n d ∠ 6 are supplementary. Name another pair of same side interior angles.

∠ 3 a n d ∠ 5 \angle3\ and\ \angle5 ∠ 3 a n d ∠ 5

∠ 3 a n d ∠ 2 \angle3\ and\ \angle2 ∠ 3 a n d ∠ 2

∠ 5 a n d ∠ 7 \angle5\ and\ \angle7 ∠ 5 a n d ∠ 7

∠ 2 a n d ∠ 8 \angle2\ and\ \angle8 ∠ 2 a n d ∠ 8

Math 10 5.5B

Authored by Matt Kaun

Mathematics

8th - 11th Grade

CCSS covered

Used 500+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

12 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In this picture, two parallel lines are cut by a third line, called a transversal. How many vertical angle pairs can you find?

2 pairs of vertical angles

3 pairs of vertical angles

4 pairs of vertical angles

8 pairs of vertical angles

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In this picture, two parallel lines are cut by a third line, called a transversal. What is the maximum number of Linear Pairs of angles you can find?

2 Linear Pairs

4 Linear Pairs

6 Linear Pairs

8 Linear Pairs

Tags

CCSS.7.G.B.5

MULTIPLE SELECT QUESTION

45 sec • 1 pt

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example $\angle5\cong\angle1$ . Check any box with Corresponding Angles.

$\angle1\ and\ \angle2$

$\angle2\ and\ \angle6$

$\angle4\ and\ \angle8$

$\angle3\ and\ \angle7$

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Suppose we assume that $\angle5\cong\angle1$ . What is true about $\angle1\ and\ \angle4$ ?

$\angle1\ and\ \angle4$ form a linear pair, so are supplementary

$\angle1\ and\ \angle4$ are adjacent angles which share a side

$\angle1\cong\ \angle4$ because they are vertical angles

$\angle1\ and\ \angle4$ are right angles

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

So, if $\angle5\cong\angle1$ , and $\angle4\cong\angle1$ , what can we conclude?

$\angle5\cong\angle4$ These are called Alternate Interior Angles. They are congruent if they are formed by parallel lines!

Sweet!

Cool.

Right on.

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $\angle5\ and\ \angle4$ are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

$\angle3\ and\ \angle2$

$\angle6\ and\ \angle8$

$\angle3\ and\ \angle6$

$\angle1\ and\ \angle9$

Tags

CCSS.8.G.A.5

MULTIPLE SELECT QUESTION

45 sec • 1 pt

If $\angle5\ and\ \angle4$ and $\angle3\ and\ \angle6$ are both pairs of Alternate Interior Angles, click any Alternate Exterior Angles below.

$\angle1\ and\ \angle8$

$\angle2\ and\ \angle7$

$\angle3\ and\ \angle2$

$\angle7\ and\ \angle8$

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If these lines are parallel, $\angle2\cong\angle6$ because they're Corresponding Angles.
What is true about $\angle2\ and\ \angle4$ ?

They are congruent

They form vertical angles

They form a linear pair

They are non-adjacent angles

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $\angle2\ and\ \angle4$ form a linear pair, then

$\angle2\cong\angle4$

$m\angle2+m\angle4=180\degree$

$\angle2\ and\ \angle4$ are right angles

They are non-adjacent angles

Tags

CCSS.7.G.B.5

10.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

If $\angle6\cong\angle2$ then $m\angle6=m\angle2$ . This means that we can substitute $m\angle6$ for $m\angle2$ anywhere!

Roger that!

Huh?

Tags

CCSS.8.G.A.5

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

11 questions

Linear Relationships

Quiz

•

8th Grade

15 questions

Compare and order Rational Numbers H.W

Quiz

•

8th Grade

10 questions

Term2 revision for the monthly test y3

Quiz

•

3rd Grade - University

10 questions

Topic 11 Graphs (11.1 - 11.4)

Quiz

•

8th Grade

12 questions

Revision - BOMDAS, Rates, Ratios, Best buys and Percentages

Quiz

•

9th - 10th Grade

10 questions

Topic 13 Probability (13.1 - 13.2)

Quiz

•

8th Grade

15 questions

SUMMATIVE TEST #5 (QUARTER 2)

Quiz

•

10th Grade

15 questions

Grade 8 - Geometry Terms

Quiz

•

7th - 8th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

14 questions

finding slope from a graph

Quiz

•

8th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

12 questions

8th U5L9 Linear Models

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

18 questions

SAT Prep: Ratios, Proportions, & Percents

Quiz

•

9th - 10th Grade

20 questions

Volume of cylinders, Cones and Spheres

Quiz

•

8th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

One Step equations addition and subtraction

Quiz

•

5th - 8th Grade

Math 10 5.5B

In this picture, two parallel lines are cut by a third line, called a transversal. How many vertical angle pairs can you find?

In this picture, two parallel lines are cut by a third line, called a transversal. What is the maximum number of Linear Pairs of angles you can find?

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example ∠5≅∠1\angle5\cong\angle1∠5≅∠1 . Check any box with Corresponding Angles.

Suppose we assume that ∠5≅∠1\angle5\cong\angle1∠5≅∠1 . What is true about ∠1 and ∠4\angle1\ and\ \angle4∠1 and ∠4 ?

So, if ∠5≅∠1\angle5\cong\angle1∠5≅∠1 , and ∠4≅∠1\angle4\cong\angle1∠4≅∠1 , what can we conclude?

If ∠5 and ∠4\angle5\ and\ \angle4∠5 and ∠4 are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

If ∠5 and ∠4\angle5\ and\ \angle4∠5 and ∠4 and ∠3 and ∠6\angle3\ and\ \angle6∠3 and ∠6 are both pairs of Alternate Interior Angles, click any Alternate Exterior Angles below.

If these lines are parallel, ∠2≅∠6\angle2\cong\angle6∠2≅∠6 because they're Corresponding Angles.What is true about ∠2 and ∠4\angle2\ and\ \angle4∠2 and ∠4 ?

If ∠2 and ∠4\angle2\ and\ \angle4∠2 and ∠4 form a linear pair, then

If ∠6≅∠2\angle6\cong\angle2∠6≅∠2 then m∠6=m∠2m\angle6=m\angle2m∠6=m∠2 . This means that we can substitute m∠6m\angle6m∠6 for m∠2m\angle2m∠2 anywhere!

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example $\angle5\cong\angle1$ . Check any box with Corresponding Angles.

Suppose we assume that $\angle5\cong\angle1$ . What is true about $\angle1\ and\ \angle4$ ?

So, if $\angle5\cong\angle1$ , and $\angle4\cong\angle1$ , what can we conclude?

If $\angle5\ and\ \angle4$ are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

If $\angle5\ and\ \angle4$ and $\angle3\ and\ \angle6$ are both pairs of Alternate Interior Angles, click any Alternate Exterior Angles below.

If these lines are parallel, $\angle2\cong\angle6$ because they're Corresponding Angles.
What is true about $\angle2\ and\ \angle4$ ?

If $\angle2\ and\ \angle4$ form a linear pair, then

If $\angle6\cong\angle2$ then $m\angle6=m\angle2$ . This means that we can substitute $m\angle6$ for $m\angle2$ anywhere!