Identifying Relationships
Based on Image I, what is the relationship between angles 1 and 5?
(Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior)
What is Corresponding
Based on Image II, name a plane that is parallel to plane AEF.
Plane DHG
Plane HGC, etc
Based on Image I, which Theorem or Postulate states that angles 1 and 8 are congruent?
(Corresponding Angle Postulate, Alternate Interior Angle Theorem, Alternate Exterior Angle Theorem, Consecutive Interior Angle Theorem)
Alternate Exterior Angle Theorem
Based on Image I, set up an equation if the measure of angle 2 is 4x + 5, and the measure of angle 7 is 2x + 24.
4x + 5 = 2x + 24
True or False: If two parallel lines are cut by a transversal, then consecutive interior angles are always congruent.
False
Based on Image I, what is the relationship between angles 1 and 8?
(Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior)
Alternate Exterior
Based on Image II, name a plane that is parallel to plane AEH.
Plane BFG
Plane FGC, etc
Which Theorem talks about supplementary angles?
Consecutive Interior Angle Theorem
Based on image I, set up an equation to solve for y if angle 4 is 5y - 2 and angle 6 is 10y + 6.
5y - 2 + 10y + 6 = 180
If two parallel lines are cut by a transversal, then alternate interior angles are always supplementary.
True
Based on Image I, what is the relationship between angles 4 and 5?
(Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior)
Alternate Interior
Line segments AB, DC, HG
Which is the only Postulate we have learned?
Corresponding Angles Postulate
Based on Image I, if angle 2 is 3x and angle 7 is 5x - 30, solve for x.
x = 15
Supplementary angles are angles that add up to 90 degrees.
False
Based on Image I, what is the relationship between angles 3 and 5?
(Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior)
Consecutive Interior
Based on Image I, if angle 4 is 105 degrees, then by the Consecutive Interior Angle Theorem, angle 6 must be?
75 degrees
Based on Image I, if angle 3 is 3x and angle 5 is 10x + 50, solve for x.
x = 10
If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.
True
Based on Image I, name all the pairs of corresponding angles.
1 and 5, 2 and 6, 3 and 7, 4 and 8
Name a line segment that is skew to FG and includes point E.
Line segment AE.
Based on Image III, if angle 6 is 110 degrees, and angle 11 is 85 degrees, what is angle 14?
Which Postulate or Theorem tells you this?
110 degrees/ Corresponding Angles Postulate
Based on Image I, if angle 6 is 4x and angle 5 is 7x + 20, find the measure of angle 8
118 degrees
False... the lines have to be parallel.