#3.4 Proofs with Perpendicular Lines

What is the shortest distance between a point and a 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.

Tags

CCSS.HSG.CO.A.1

Find the distance from point P to $\overline{AB}$  

• 16 units

• 5.7 units

• 32 units

• 6.8 units

Tags

CCSS.HSG.GPE.B.4

Find the distance from point P to $\overline{QS}$  

• 4.8 units

• 8.9 units

• 20 units

• 16 units

Based on the diagram which statement is FALSE?

•  $n\perp\overline{PQ}$  

• Line n is the perpendicular bisector of $\overline{PQ}$  

•  $\overline{PM}\cong\overline{Mn}$  

•  $M$  is the midpoint of  $\overline{PQ}$  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Determine which lines, if any, must be parallel.

• $a\parallel b$

• $b\parallel c$

• $c\parallel d$

• None of the lines are parallel.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Determine which lines, if any, must be parallel.

• $l\parallel m$

• $n\parallel p$

• $m\parallel p$

• None of the lines are parallel.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

How do you know that $g\parallel h$  ?

• Linear Pair Perpendicular Theorem

• Lines Perpendicular to a Transversal Theorem

• Corresponding Angles Theorem

• Definition of Congruent Angles

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Determine which lines, if any, must be parallel.

• $a\parallel b$

• $c\parallel d$

• $a\parallel e$

• None of the lines are parallel.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Given: $<1\cong<2$  

What statement is NOT true?

•  $m<1=m<2$  

•  $m<1=90\degree$  

•  $g\perp h$  

•  $m<2=110\degree$  

Tags

CCSS.HSG.CO.C.9

Find $m<2$  

•  $15\degree$  

•  $30\degree$  

•  $45\degree$  

•  $75\degree$  

Tags

CCSS.7.G.B.5