Parallel Lines and Planes
Sometimes, always, or never?
Skew lines ______ intersect.
Never
If two parallel lines are cut by a transversal, what is the relationship between the same side interior angles formed?
Same side interior angles add up to 180.
If two parallel lines are cut by a transversal, what is the relationship between the corresponding angles formed?
Corresponding angles are congruent.
Two lines are cut by a transversal. If angles A and B are corresponding and the measure of angle A is 80 degrees and the measure of angle B is 90, does that prove that the lines are parallel? Why?
No. Angles A and B must be congruent.
What is the general equation for a line?
y=mx+b
Sometimes, always, or never?
Skew lines are _________ parallel.
Sometimes
If two parallel lines are cut by a transversal, what is the relationship between the alternate interior angles formed?
Alternate interior angles are congruent.
Two parallel lines are cut by a transversal, angles 1 and 2 are corresponding, if angle 1 measures 95 degrees, what is the measure of angle 2?
95 degrees.
Two lines are cut by a transversal. If angles A and B are same side interior angles and the measure of angle A is 80 degrees and the measure of angle B is 100, does that prove that the lines are parallel? Why?
Yes. Same side interior angles add up to 180 degrees.
In the equation y=mx+b, what do the variables "m" and "b" represent?
"m" represents the slope and "b" represents the y-intercept
Sometimes, always, or never?
Two parallel lines __________ lie in the same plane.
Sometimes
If two parallel lines are cut by a transversal, what is the relationship between the vertical angles formed?
Vertical angles are congruent.
Two parallel lines are cut by a transversal and angles 1 and 2 are corresponding. If angle 1 measures 40 degrees, what is the angle measure of the angle complementary to angle 1?
50 degrees.
Two lines are cut by a transversal. If angles A and B are alternate interior angles and the measure of angle A is 80 degrees and the measure of angle B is 100, does that prove that the lines are parallel? Why?
No. Alternate interior angles are congruent.
Identify the slope in the equation y=-3x+4
Plane A is parallel to plane B, and plane B is parallel to plane C. Is Plane A parallel to Plane C?
Yes.
If two parallel lines are cut by a transversal, what is the relationship between the same side exterior angles formed?
Same side exterior angles add up to 180.
Two parallel lines are cut by a transversal and angles 1 and 2 are corresponding. If angle 1 measures 40 degrees, what is the angle measure of the angle supplementary to angle 1?
140 degrees
Two lines are cut by a transversal. If angles A and B are same side exterior angles and the measure of angle A is 80 degrees and the measure of angle B is 80, does that prove that the lines are parallel? Why?
No. Same side exterior angles must be supplementary.
Identify the slope in the equation 2x+y=43
-2
Describe a real-world example or model of parallel lines.
Ex: Skis on a skier's feet.
Two parallel lines are cut by a transversal. If Angles 3 and 4 are alternate exterior angles and the measure of angle 3 is 80 degrees, what is the mesure of angle 4?
80 degrees
Two parallel lines are cut by a transversal and angles 1 and 2 are corresponding. If angle 1 measures 40 degrees, what is the angle measure of the angle complementary to angle 2?
50 degrees.
Two lines are cut by a transversal. If angles A and B are same side exterior angles and are supplementary, does that prove that the lines are parallel? Why?
Yes. Same side exterior angles are supplementary.
slope = -4
y-int = 20