Parallel lines have so much in common...it's a shame they'll never meet.
Solve it!
Angle Relationships
Triangles
100
Non coplanar lines that are not parallel and do not intersect
What are skew lines?
100
Refer to diagram A
Name a line parallel to AF
DG
CH
BE
100
Refer to diagram B.
m<1 = 2x+6 and m<8 = 42
Solve for x
x = 18
100
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship?
Supplementary
100
Refer to Diagram C
Name the theorem that supports this statement:
if <1 and <3 are congruent, then c//d
Converse of the Corresponding Angles Theorem.
200
Non adjacent angles that lie between two lines and are on opposite sides of the traversal.
Draw a picture.
What are alternate interior angles?
200
Refer to diagram A
Name a Segment skew to HG.
BE
AF
DA
CB
200
Refer to diagram B.
m<5 = 98 and m<3 = 3x - 17
Solve for x
x=33
200
One way to prove that lines are parallel is through understanding that corresponding angles are...
Congruent
200
Refer to Diagram C
Name the theorem that supports this statement:
m<10 + m<6=180, then a // b.
Converse of the Same-Side Interior Angles Postulate.
300
Angles that lie on the same side of the transversal in the same position. (HINT: "one inside, one outside"
Draw a picture.
What are corresponding angles?
300
Refer to diagram A.
Name a segment parallel to plane ADG.
CB
BE
EH
HC
300
Refer to diagram D.
Solve for the "?" angle.
?=130
300
To prove that lines are parallel, one must understand that same side interior angles are....
Supplementary
300
Special angle pairs formed by parallel lines and a traversal are congruent except....
Same side interior angles
400
Non adjacent exterior angles that lie on opposite sides of the transversal.
Draw a picture.
What are alternate exterior angles?
400
Refer to diagram A
Name 2 sets of parallel planes.
Planes are named using 3 points!
ABCD // EFGH
ADFG // CDHE
ABEF // DCGH
400
Refer to diagram B.
m<4 = 3x+10 and m<2 = 4x - 5
Solve for x
x=25
400
Congruent angles across from each other are...
Vertical Angles
400
Refer to Diagram C.
Name the theorem that supports this statement:
If m<10 + m<11 = 180, then c // d.
Converse of Same Side Interior Angles Theorem.
500
A line that intersects two or more co-planar lines at distinct points.
Draw a picture.
What is a transversal?
500
Refer to Diagram A.
Wongo says AB // HG. Gordon says AB and HG are skew. Who is correct? Why?
Wongo because they are coplainar lines that do not intersect.
500
Refer to diagram E
Solve for the "?" angle.
?=31
500
In diagram C, if angle 4 is congruent to angle 15 what two lines must be parallel? What line is the transversal?
a // b
Transversal: d
500
If two lines are cut by a traversal and the corresponding angles formed are congruent then the lines are parallel. Name the theorem and state when it is used.
Converse Corresponding Angles Theorem.
When proving two lines are parallel.