1. Review Sheet Chapter Threek l 1 2 3 4 5 6 7 8
Special Angle Pairs:
Alternate Interior: (if //, then angles equal) 3 and 6 or 4 and 5
Alternate Exterior: (if //, then angles equal)
1 and 8 or 2 and 7
Corresponding: (if //, then angles equal)
1 and 5 or 3 and 7 or 2 and 6 or 4 and 8
Consecutive Interior: (if //, then angles add to 180)
3 and 5 or 4 and 6
Slopes
Slope is change in y / change in x
Parallel lines have the same slope
slope = 3  parallel slope = 3
Perpendicular lines have negative inverse (reciprocal) slopes
slope = 3  perpendicular slope = -1/3
Slope – Intercept Form: y = mx + b
Point Slope Form: y – y1 = m(x – x1)
Use Pythagorean triangles to work with slope m = y / x = 3/7
Test Taking Tips:
Stop and think – don’t hurry through;
Use graph paper to draw things Angle = Angle or Angle + Angle = 180 solves 90% of angle problems
Acute = Acute or Obtuse = Obtuse or Acute + Obtuse = 180
Alternate – opposites sides of transversal t
C’s – same side of transversal t y x 3 7
slope of solid line: 3/7
slope of  line: -7/3

2. Must use a and b and only one transversal
Ch 3
Coordinate Relations and Transformations
SSM:
Must use a and b and only one transversal
Option B shows consecutive “exterior” angles which are supplementary
Option D shows corresponding angles between c and d.

3. x is a medium to large acute angle
Ch 3
Coordinate Relations and Transformations
SSM:
x is a medium to large acute angle
Corresponding angles of parallel lines are congruent

4. SSM: plot points use slope definition
Ch 3
Coordinate Relations and Transformations
SSM:
plot points
use slope definition
Parallel lines have the same slope. Use points given to figure out the slope of line t (rise = -8 and run = 16), which is -1/2. Use that slope and rise/run to draw a line through point P and plot a point along that line.

5. 3x + 14 = 143 (alternate exterior angles) 3x = 129 x = 43
Ch 3
Coordinate Relations and Transformations
SSM:
by eyes: angles equal 43
3x + 14 = 143 (alternate exterior angles)
3x = 129
x = 43

6. slope = m = ------------- = ------------- = 1/2 5 – (-3) 8
Ch 3
Coordinate Relations and Transformations
SSM:
draw points on graph
find slope
7 –
slope = m = = = 1/2
5 – (-3)

7. Angle CBA is a large obtuse angle
Ch 3
Coordinate Relations and Transformations
SSM:
Angle CBA is a large obtuse angle
Angle CBA = angle ABH + angle HBC
= supplementary with 115 (consecutive interior) =
= 155

8. parallel lines have same slope rise 3
Ch 3
Reasoning, Lines, and Transformations
SSM:
parallel lines have same slope
rise
slope = m = =
run

9. two pairs of segments parallel
Ch 3
Reasoning, Lines, and Transformations
SSM:
two pairs of segments parallel
Regular quadrilateral is a square and has four lines of symmetry
Even numbered regular polygons have a point of symmetry

10. draw line on graph paper
Ch 3
Reasoning, Lines, and Transformations
SSM:
draw line on graph paper
draw answers and check with scrap paper corner
Find slope of line k (rise/run = 6/4), then flip and negate it (-run/rise = -4/6). Compare with slopes of the answers.

11. find equal special angle pairs
Ch 3
Reasoning, Lines, and Transformations
SSM:
all acute measures
find equal special angle pairs
Angles between m and n are alternate interior angles for both transversal p and q.
Angles between p and q would be supplementary angle pairs if parallel

12. 25 SSM: no help 3x + 5 = 180 – (61 + 39) 3x + 5 = 80 3x = 75 x = 25
Ch 3
Reasoning, Lines, and Transformations
SSM:
no help 25
3x + 5 = 180 – ( )
3x + 5 = 80
3x = 75
x = 25

13. eyes tell us that x is a medium acute angle measure opposite sides
Ch 3
Triangles
SSM:
eyes tell us that x is a medium acute angle
measure opposite sides
Other acute angle in triangle containing x is supplementary with 132 (=48) . Angle x and that angle are complementary (x + 48 = 90; so x = 42)