Parallel and Perpendicular lines and proofs

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.

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

• 16 units

• 5.7 units

• 32 units

• 6.8 units

Tags

CCSS.HSG.GPE.B.7

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.C.9

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.4.G.A.1

CCSS.HSG.CO.A.1

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.4.G.A.1

CCSS.HSG.CO.A.1

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.7.G.B.5

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Definition of Right Angle
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

 $If\ p\parallel q,\ then\ \angle3\cong\angle6.$  Which Theorem?

• Corresponding Angles Theorem

• Alternate Interior Angles Theoren

• Alternate Exterior Angles Theorem

• Consecutive Interior Angles Theorem

Tags

CCSS.8.G.A.5

 $If\ p\parallel q,\ then\ \angle2\cong\angle6.$  Which Theorem?

• Corresponding Angles Theorem

• Alternate Interior Angles Theoren

• Alternate Exterior Angles Theorem

• Consecutive Interior Angles Theorem

Tags

CCSS.8.G.A.5

 $If\ p\parallel q,\ then\ \angle3\ \&\angle5\ are\ \sup plementary.$  Which Theorem?

• Corresponding Angles Theorem

• Alternate Interior Angles Theoren

• Alternate Exterior Angles Theorem

• Consecutive Interior Angles Theorem

Tags

CCSS.8.G.A.5