Using Alternate exterior angles to prove two lines are parallel

Using Alternate exterior angles to prove two lines are parallel

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if two lines, M and N, are parallel using the theorem of alternate exterior angles. It demonstrates setting up and solving an equation to find the value of X that makes the lines parallel. The process involves assuming the angles are equal, forming an equation, and solving for X. The tutorial concludes that when X equals 29, the lines are parallel, illustrating the application of alternate exterior angles in proving parallelism.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to determine if lines M and N are parallel?

Corresponding Angles Theorem

Vertical Angles Theorem

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for X to prove the lines are parallel?

Add 14 to both sides

Set the equations equal to each other

Subtract 2X from both sides

Multiply both sides by 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value of X makes the lines M and N parallel?

14

25

35

29

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many values of X make the lines M and N parallel?

Four

Three

Two

One

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when the alternate exterior angles are equal?

The lines are skew

The lines intersect

The lines are parallel

The lines are perpendicular