Equations of Parallel and Perpendicular Lines 1 and 2

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Name: ___________________________________ Date: _____________
Directions: Determine whether
and
are parallel, perpendicular, or neither. (3 pt)
1. A(3, -1)
B(6, 1)
C(-2, -2)
D(2, 4)
2. A(-3, -11)
B(3, 13)
C(0, -6)
D(8, -8)
3. A(15, -9)
B(9, -9)
C(-4, -1)
D(3, -1)
4. A(-3, -2)
B(9, 1)
C(3, 6)
D(5, -2)
5. A(1, 1)
B(9, 8)
C(-6, 1)
D(2, 8)
Directions: Write an equation of a line that satisfies each condition. (3 pt)
6. Contains A(6, 4), perpendicular to
7. Contains R(-4, 2), parallel to
with M(5, 0) and N (1, 2)
with P(0, -3) and Q(4, -2)
SCORE: _______/35 pts
Directions: Graph the following conditions on the graph provided and answer the questions. (14pt)
a. Graph
such that A(-2, 4) and B(2, -2)
b. Graph a line that is parallel to
and contains C(2, 4)
c. Graph a line that is perpendicular to
and contains D(-3, -1).
d. Graph
e. The four lines all intersect to form a quadrilateral. If one of the angles of the quadrilateral is
three angles and explain your reasoning.
, state the other
Name: ___________________________________ Date: _____________
SCORE: _______/90 pts
1. Given points A, B, C, and D of quadrilateral ABCD in the Figure below, answer the following
questions: (15 pt)
1a) State which sides, if any, of quadrilateral QRST in the Figure are parallel or
perpendicular. Explain.
1b) If
and
, solve for and state a reason for the equation.
2. Directions: Graph the following conditions on the graph provided and answer the questions. (25 pts)
a. Graph
such that A(1, -6) and B(-2, 3)
b. Graph a line that is parallel to
and contains C(2, 1)
c. Graph a line that is perpendicular to
and contains D(3, 8).
d. Graph
Questions: Answer the following:
1. Write the equation in slope-intercept form for all the above lines.
2. The four lines all intersect to form a quadrilateral. If one of the angles of the quadrilateral is
other three angles and explain your reasoning.
, state the
3. Directions: Graph the following conditions on the graph provided and answer the questions. (25 pts)
a. Graph
such that A(0, 0) and B(6, 4)
b. Graph a line that is parallel to
and contains C(-6, -2)
c. Graph a line that is perpendicular to
and contains D(-2, 6).
Questions: Answer the following:
1. Write the equation in slope-intercept form for all the above lines.
2. The three lines intersect and form eight angles. State all angles and explain your reasoning’s.
4. Directions: Graph the following conditions on the graph provided and answer the questions. (25 pt)
a. Graph
such that A(4, 8) and B(-4, 6)
b. Graph a line that is parallel to
c.
Graph
and contains C(0,-4)
such that D(-1, 4) and E(2, -2)
d. Graph a line that is parallel to
and contains F(7, -3)
Questions: Answer the following:
1. Write the equation in slope-intercept form for all the above lines.
2. The four lines all intersect to form a quadrilateral. If one of the angles of the quadrilateral is
other three angles and explain your reasoning.
, state the
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