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.
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.
Triangles that have all sides equal
What is equalateral triangles
True or False:
Polygons always h
False
Sometimes, always, or never?
Skew lines are _________ parallel.
Never
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 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.
Triangles that have no equal sides
What is scalene triangles
What is the sum of the interior angles of a polygon with n sides?
(n - 2)180
Sometimes, always, or never?
Two parallel lines __________ lie in the same plane.
Always
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 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.
Triangles that have two equal sides
What is isosceles triangles
What is the sum of the exterior angles of any polygon?
360 degrees
Plane A is parallel to plane B, and plane B is parallel to plane C. Is Plane A parallel to Plane C?
Yes.
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 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.
Triangles that have three angles less than 90 degrees
What is acute triangles
How can you find the measure of each interior/exterior angle if you know the sum of the interior/exterior angles?
Divide the sum by the number of int./ext. angles (n)
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 and angles 1 and 2 are corresponding. If angle 1 measures 40 degrees, what is the angle measure of the angle supplementary to angle 2?
140 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.
Triangles that have one angle greater than 90 degrees
What is obtuse triangles
Regular polygons are ____________ and __________.
equiangular and equilateral