transversals and angle pair properties day 2 14­15 9th.notebook
10/7/11
10­21­14
Geo opener
Learning
Targets
October 21, 2014
transversals and special angle pair theorems (cont. from 10­17)
A.I.A are iff the 2 lines cut by the transversal are //.
lines cut by a transversal AIA are Boxes
shorthand???
Alternate Interior Angles Theorem
Alternate interior angles are congruent if and only if the two lines cut by the transversal are parallel.
are //.
? Corr. post.
If a//b, then 1
2
4
3
lines cut by a transversal are //.
Corr.
are a
b
6
5
8
7
c
proof?
??
Transitive property of congruence
If and , then
If and , then
Alternate exterior angles are congruent if and only if the two lines cut by the transversal are parallel.
A.E.A are iff the 2 lines cut by the transversal are //.
boxes
shorthand???
Alternate Exterior Angles Theorem
AEA are lines cut by a transversal are //.
transversals and angle pair properties day 2 14­15 9th.notebook
October 21, 2014
Consecutive Interior Angles Theorem
C.I.A are supp. iff the 2 lines cut by the transversal are //.
boxes
shorthand???
Consecutive interior angles are supplementary if and only if the two lines cut by the transversal are parallel.
CIA are supp. lines cut by a transversal are //.
If a//b and m<1= 50o, then find the measure of the rest of the angles
c
m< 2 =
m< 3 =
m< 4 =
m< 5 =
m< 6 =
m< 7 =
m< 8 =
1 2
4 3
56
87
a
b
transversals and angle pair properties day 2 14­15 9th.notebook
October 21, 2014
In the figure at the right p is parallel to q. Find the measure of each angle. <1=78, <2=47
1. m<3 4 6
2. m<4
3. m<5 3
5
4. m<6
5. m<7 2 8
7
1
9
q
6. m<8 10
p
7. m<9 8. m<10
Solve for the variable if p//q
(3x+10)o
p
(4x­5)o
q
transversals and angle pair properties day 2 14­15 9th.notebook
October 21, 2014
Solve for the variable if p//q
(12x+25)o
p
(3x­10)o
q