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.
What is the relationships of the slopes of parallel lines?
They are equal
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 of a line perpendicular to the equation y=-3x+4
m = 1/3
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 of the line parallel to 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 measure 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.
What is the equation of a line perpendicular to y = 7/5x + 2 that goes through the point (7,3)?
y = -5/7x + 8