Conjectures and Counter Examples
Find the FIFTH term in the sequence 6,12,18...
30
What are two coplaner lines that do not intersect?
Parallel Lines
If <A and <B are alternate interior angles, and <A=4x+10 and <B=6x-10, what value of x makes those lines parallel?
x=10
If two lines are parallel, and line 1 have a slope of 3... what is line 2's slope?
3
If <A and <B are complementary, then they are congruent.
False! <A=40 <B=50
What are two lines that are not coplaner, do not intersect and are not parallel?
Skew Lines
If <W and <C are same side interior angles, and <W=3x+16 and <C=7x+4, what value of x makes these lines parallel?
x=16
If two lines are perpendicular, and line 1's slope is 4... what is line 2's slope?
-1/4
Make a conjecture about the product of two odd numbers.
The product of two odd numbers is an odd number.
What are angles that are on the exterior of parallel lines, on the opposite sides of the transversal?
For DOUBLE points, how are these angles related?
Alternate Exterior
They are congruent!
If <G and <Y are alternate exterior angles, and <G=35 and <Y=3x+5
x=10
Name a line parallel to y=3x+2.
y=3x+(anything but 2!)
Find a counter example, for "All even numbers are positive"
-6
What are two lines that cross or touch at a point called?
Intersecting Lines
If <K and <J are same side interior, and <K=2x+2 and <J=68, find the value of x that makes the lines parallel
x=33
Are y=-4/5x+3 and y=5x+4 parallel, perpendicular, or neither?
neither!
Find a counter example:
All lines that never intersect are parallel. (HINT think 3D)
Skew Lines!
On parallel lines, what are angles that are in the same location on the same side of the transversal?
are <B and <Z are corresponding angles, <B=7x-2 and <Z=2x+33, what value of x makes the lines parallel?
x=7
Are Line AB and Line CD parallel, perpendicular, or neither?
A(-6,8) B(-4,-2) and C(6,4) D(8,-6)
Parallel!