Download 15-2 linear and angles hw

Name: ____________________________________
Geometry Pd. _____________
15-2 HW
Date: _____
Lines and Angles – Linear Relationships Review Homework
1. Given
shown below, with
and is parallel to
and
, what is an equation of the line that passes through point
?
1)
2)
3)
4)
2. An equation of a line perpendicular to the line represented by the equation
3. The equations of lines k, p, and m are given below:
Which statement is true?
1)
2)
3)
4)
4. Which equation represents a line parallel to the x-axis?
1)
2)
3)
4)
5. What is the distance between the points (-5,3) and (-3,1)?
1) √68
2)
3)
4)
√20
√8
√10
and passing through
is
6. Which geometric principle is used to justify the construction below?
1)
A line perpendicular to one of two parallel lines is perpendicular to the other.
2)
Two lines are perpendicular if they intersect to form congruent adjacent angles.
3)
When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are
parallel.
4)
When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are
parallel.
7. Given that lines AB and CD intersect to form the angles below solve for the angle marked r.
8. In the diagram below, quadrilateral DEFG has vertices D(1,3), E(5,3), F(7,-1), and G(1,-1).
What are the coordinates of the midpoint of diagonal ̅̅̅̅
𝐺𝐸 ?
9.
In the following diagram, line e is parallel to line f.
a) Solve for angle X.
b) State what special parallel angle theorem(s) you used and
what relationship that angle pair is.
c) Is line c parallel to line d? Justify your answer using details from the diagram.
10. In circle O, diameter RS has endpoints R (2a, 5b) and S (6a, -2b).
a) Find the coordinates of point O, the midpoint of the diameter, in terms of a and b. Express your answer in
simplest form.
b) Solve for the slope of diameter RS.
11. Write an equation of the perpendicular bisector of the line segment whose endpoints are
and
.