Parallel Lines

1
Parallel Lines
Day 1

• Find the slope of the line passing through
• A(-3, 8) and D(4, 2)
• Use the formula
• Is the line increasing or decreasing?
• Is the line more horizontal or more vertical than
  the parent graph?

2

• Graph the line.
• d. Write the equation of a line parallel to AD.
• e. Write the equation of a line perpendicular to
  AD.

3
Day 1

• Determine whether the lines
• are parallel. Justify!
• M(-3, -4)
• A(7, -10)
• T(-1, 6)
• H(4, 3)

Are they congruent segments? Hint!!
4
Day 1

• Determine the value of x, so that a line through
  the points with the given coordinates had the
  given slope.
• (x, 2) , (-4, -6) slope

In Class Assignment Part I
5
Day 1

• Find the distance between y 2x 8 and a
  line parallel to it through (5, 3)
• using the point (4, 1), using your compass.
• See the class set for instructions!

6
Day 2 Angle Bisectors and Parallel Lines

• Reminder (use patty paper or compass)
• a. Draw an obtuse angle. Bisect it!
• b. Draw a large triangle. Bisect all of the
  angles. Where do the bisectors intersect?

7
Day 2

• www.utdanacenter.org/mathtoolkit/downloads/geoasse
  ss/geo_3_angle.pdf

8
Day 3 Angles formed by Parallel Lines and a
Transversal

• http//regentsprep.org/Regents/math/angles/Lparall
  el.htm
• www.keymath.com/DG/dynamic/parallel_lines.html
• www.mathisfun.com/geometry/parallel-lines.html

9
Identifying angles and the transversal
Day 5
10
Day 5

• Which line is the transversal?

11
Day 5

• ? 6 and ? 8 are what type of angles?

12
Day 5

• ??7 and ?5 are what type of angles?

13
Day 5

• ?7 and ?2 are what type of angles?

14
Day 5

• ?6 and ?3 are what type of angles?

15
Day 5

• ? 8 and ? 3 are what type of angles?

16
Day 5

• ?4 and ?8 are what type of angles?

17
Day 5
a
1
2
5
3
b
6
7
4
8
c

• ?3 and ?4 are what type of angles?

18
Day 5

• Which line is the transversal if ?6 and ?10 are
  corresponding angles

19
Day 5

• Which line is the transversal if ?5 and ?9 are
  corresponding angles

20
Day 5

• Which line is the transversal if ?5 and ?4 are
  alternate interior angles