Two planes that do not intersect are called ______________ planes.
Parallel Planes
100
Two lines that meet at a right angle are called ___________ lines.
Perpendicular Lines
100
When two lines are cut by a transversal, two angles are ___________________ if they are on alternate sides of the tranversal and are outside of the parallel lines.
Alternate Exterior Angles
100
Name a pair of angles that are CONGRUENT if two parallel lines are cut by a transversal. (multiple correct answers)
If two lines are cut by a transversal and corresponding angles are congruent, what can you conclude about the two lines?
What theorem / postulate does this come from?
Two angles are ______________ angles if they lie on the alternating sides of the transversal and are inside the lines.
Alternate Interior Angles
200
Determine whether the lines in the picture on the Promethean are parallel, perpendicular, or neither.
Perpendicular
200
When two lines are cut by a transversal, two angles are ___________________ angle if they lie on the same side of the transversal and are inside of the parallel lines.
Same-Side Interior Angles
200
What type of angles are supplementary if two parallel lines are cut by a transversal?
Same-Side Interior
200
If two lines are cut by a transversal so that the same-side interior angles are supplementary, what can you conclude about the two lines?
What postulate / theorem does this come from?
Parallel ;
Theorem 3.10 -- Same Side Interior Angles Converse
300
Two lines that do no lie in the same plane and do not intersect are ______________ lines.
Skew Lines
300
Name a pair of skew lines in the picture on the Promethean board.
Lines r and p
300
What type of angles are featured in the picture on the Promethean Slide?
Corresponding Angles
300
Find the measure of the numbered angle in the picture on the Promethean Board.
m<1 = 35°
300
Write the converse of the following sentence AND determine of the converse is true or false.
If m<1 + m<2 = 180, then <1 and <2 are supplementary.
If <1 and <2 are supplementary, then m<1 + m<2 = 180. ;
True
400
The ____________ of a statement is when you switch the hypothesis and conclusion of the statement.
Converse
400
Describe a pair of parallel planes in the picture before, which models a cage.
top and bottom of cage
400
Name a pair of alternate interior angles from the picture on the Promethean Slide.
<3 and <6 or <4 and <5
400
Find the measure of the numbered angle in the picture from the Promethean Board.
m<1 = 110°
400
Look at the picture on the Promethean Board. Is there enough infomation to show that lines m and n are parallel?
If yes, what theorem / postulate did you use?
Yes, by the Corresponding Angles Converse
500
The _________ is a line that intersects two or more coplanar lines at different points.
Transversal
500
Name a pair of perpendicular lines in the picture on the Promethean, which models a cage.
bars and bottom of cage / bars and top of cage
500
What type of angles are <4 and <6 in the picture on the Promethean Slide?
Same-Side Interior
500
Find the value of x in the picture on the Promethean Board.
x = 85
500
Look at the picture on the Promethean. Is there enough information to show that lines m and n are parallel?
If yes, what theorem / postulate did you use?