Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 6
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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 What is the slope of a line perpendicular to the
line whose equation is
?
8 What is the slope of the line perpendicular to
the line represented by the equation
?
2 What is the slope of a line perpendicular to the
line whose equation is
?
9 What is the slope of a line perpendicular to the
line whose equation is
?
3 What is the slope of a line perpendicular to the
line whose equation is
?
10 What is the slope of a line perpendicular to the
line whose equation is
?
4 What is the slope of a line perpendicular to the
line whose equation is
?
11 The equation of a line is
. What is
the slope of the line perpendicular to the given
line?
5 What is the slope of a line that is perpendicular
to the line whose equation is
?
6 What is the slope of a line that is perpendicular
to the line whose equation is
?
7 What is the slope of a line that is perpendicular
to the line represented by the equation
?
12 The lines whose equations are
and
will be perpendicular when m is
13 Find the slope of a line perpendicular to the
line whose equation is
.
14 The slope of
. If
x.
is
and the slope of
is
, determine and state the value of
Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 6
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1 ANS:
REF: 061022ge
2 ANS:
The slope of
is
. Perpendicular lines have slope that are opposite reciprocals.
REF: 080917ge
3 ANS:
Perpendicular lines have slope the opposite and reciprocal of each other.
REF: 081024ge
4 ANS:
The slope of a line in standard form is
so the slope of this line is
that are the opposite and reciprocal of each other.
REF: fall0828ge
5 ANS:
The slope of
REF: 061127ge
6 ANS:
REF: 011025ge
7 ANS:
2
is
.
.
Perpendicular lines have slope
Regents Exam Questions CC.G.GPE.5: Parallel and Perpendicular Lines 6
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The slope of
is
.
.
REF: 081122ge
8 ANS:
2
The slope of
is
REF: 011310ge
9 ANS:
.
REF: 061219ge
10 ANS:
REF: 081414ge
11 ANS:
REF: 061417ge
12 ANS:
REF: 011610ge
13 ANS:
.
REF: 011134ge
14 ANS:
REF: 011534ge
.
.
.