Advertisement Upgrade to remove ads

Chapter 3

Postulate 3-1
Corresponding Angles Postulate

If a transversal intersects two parallel lines, then corresponding angles are congruent

Theorem 3-1
Alternate Interior Angles Theorem

If a transversal intersects two parallel lines, then alternate interior angles are congruent

Theorem 3-2
Same-Side Interior Angles Theorem

If a transversal intersects two parallel lines, then same-side interior angles are supplementary.

Theorem 3-3
Alternate Exterior Angles Theorem

If a transversal intersects two parallel lines, then alternate exterior angles are congruent

Postulate 3-2
Converse of the Corresponding Angles Postulate

If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel

Theorem 3-4
Converse of the Alternate Interior Angles Theorem

If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel

Theorem 3-5
Converse of the Same-Side Interior Angles Theorem

If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel

Theorem 3-6
Converse of the Alternate Exterior Angles Theorem

If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel

Theorem 3-7

If two lines are parallel to the same line, then they are parallel to each other

Theorem 3-8

In a plane, if two lines are perpendicular to the same line, then they are parallel to each other

Theorem 3-9
Perpendicular Transversal Theorem

In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other

Postulate 3-3
Parallel Postulate

Through a point not on a line, there is one and only one line parallel to the given line

Theorem 3-10
Triangle Angle-Sum Theorem

The sum of the measures of the angles of a triangle is 180

Theorem 3-11
Triangle Exterior Angle Theorem

The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles

Postulate 3-4
Perpendicular Postulate

Through a point not on a line, there is one and only one line perpendicular to the given line.

Please allow access to your computer’s microphone to use Voice Recording.

Having trouble? Click here for help.

We can’t access your microphone!

Click the icon above to update your browser permissions above and try again

Example:

Reload the page to try again!

Reload

Press Cmd-0 to reset your zoom

Press Ctrl-0 to reset your zoom

It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

Please upgrade Flash or install Chrome
to use Voice Recording.

For more help, see our troubleshooting page.

Your microphone is muted

For help fixing this issue, see this FAQ.

Star this term

You can study starred terms together

NEW! Voice Recording

Create Set