Building Blocks of Geometry

1
Parthenon Athens
Dallas City Hall I.M. Pei
Havasu Falls I.M. Pei
Parallel Lines and Planes
Lesson 3.2 Classroom Exercises
2
Mr. Sabias Favorite Theorem
Vertical angles are congruent.
X marks the spot.
3
Mr. Sabias 2nd Favorite Theorem
Linear pairs are supplementary.
Lps are suppl.
a
b
4
Mr. Sabias Third Favorite Theorem
If 2 lines are //, then the Alternate Interior
angles are congruent.
5
If two lines are parallel.
The corresponding angles are congruent.
The alternate interior angles are congruent.
The alternate exterior angles are congruent.
The same-side interior angles are supplementary.
The same-side exterior angles are supplementary.
6
1
If a//b, name all angles that must be congruent
to angle 1
7
2
If c//d, name all angles that must be congruent
to angle 1
8
3
Assume a//b and c//d. Name all angles that must
be congruent to angle 2
9
4
Assume a//b and c//d. Name all angles that must
be supplementary to angle 2
10
5
Assume a//b and c//d.
110
70
110
110
11
6
Assume a//b and c//d.
70
x
x
180-x
x
110
12
7
13
8
14
9
15
10
16
11
17
12
18
13
t
Given Transversal t cut L and N
1
L
2
N
Given
Substitution property
19
14
20
14
y 56 24 180
21
15
22
16
23
Cest fini.
Good day and good luck.