Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 11 www.jmap.org
Page 1
Name: __________________________________
CC.G.GPE.5: Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
1 The coordinates of the endpoints of are
and . The equation of the
4 If is defined by the endpoints and
, write an equation of the line that is the perpendicular bisector of is
1)
2)
3)
4) perpendicular bisector of .
2 Which equation represents the perpendicular
and
5 Write an equation of the line that is the perpendicular bisector of the line segment having endpoints and . [The use of the grid below is optional] bisector of whose endpoints are
?
1)
2)
3)
4)
3 Triangle ABC has vertices ,
. Which equation represents the perpendicular bisector of ?
1)
2)
3)
, and
4)

Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 11 www.jmap.org
Page 2
Name: __________________________________
6 Write an equation of the perpendicular bisector of the line segment whose endpoints are
7 Determine the distance between point and point . Write an equation of the and . [The use of the grid below is optional] perpendicular bisector of . [The use of the accompanying grid is optional.]

Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 11 www.jmap.org
1 ANS: 4
is a vertical line, so its perpendicular bisector is a horizontal line through the midpoint of , which is
.
REF: 011225ge
2 ANS: 1
REF: 081126ge
3 ANS: 3 midpoint: . slope: .
REF: 081327ge
4 ANS:
REF: 081536ge
5 ANS:
. .
REF: 011334ge
6 ANS:

Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 11 www.jmap.org
. The perpendicular bisector goes through and has a slope of .
.
REF: 080935ge
7 ANS:
10, . calculate midpoint and slope.
. To find the equation of the perpendicular bisector,
. The perpendicular bisector of goes through
(2,1) and has a slope of .
REF: 080235a
.