3.4 Proofs with Perpendicular Lines

Parallel

Perpendicular

Not Enough Information

Skew

Linear Pair Perpendicular Theorem

Lines Perpendicular to a Transversal Theorem

Corresponding Angles Theorem

Definition of Congruent Angles

$$a\parallel b$$

$$c\parallel d$$

$$a\parallel e$$

None of the lines are parallel.

$$l\parallel m$$

$$n\parallel p$$

$$m\parallel p$$

None of the lines are parallel.

there is exactly one line through the point parallel to the given line.

there are many lines through the point parallel to the given line.

there is exactly one line through the point perpendicular to the given line.

there are many lines through the point perpendicular to the given line.

there is exactly one line through the point parallel to the given line.

there are many lines through the point parallel to the given line.

there is exactly one line through the point perpendicular to the given line.

there are many lines through the point perpendicular to the given line.

The length of the perpendicular segment from the point to the line.

The length of the parallel segment from the point to the line.

The circumference of the semi-circle from the point to the line.

None of the above.

16 units

5.7 units

32 units

6.8 units

$$m<1=m<2$$  

$$m<1=90\degree$$  

$$g\perp h$$  

$$m<2=110\degree$$  

Copy a segment.

Perpendicular Bisector

Copy an angle

Angle Bisector

an angle bisector

a line parallel to a given line

an angle congruent to a given angle

a perpendicular bisector of a segment

AB=CD

AE=EB

CE=ED

AC=BC