This document contains a geometry drill with questions about angle relationships and parallel lines. It asks students to identify corresponding angles, same-side interior angles, alternate interior angles, and alternate exterior angles in a diagram. It also contains problems asking students to determine angle measures, state converses of theorems, and identify whether statement justify postulates or theorems. The document aims to help students practice applying concepts related to parallel lines and angle relationships formed by a transversal.

1. Hon Geom Drill #2.03 11/11/14
 Use the picture and locate all the
corresponding angles, same side interior
angles, alternate interior angles, and alternate
exterior angles
1 2
3
4
5
7
6
8

2. Hon Geom Drill #2.03 11/11/14
 Name all angles that must be congruent to
angle 2
1 2
3
4
5
7
6
8

3. Find the value of x or y
 61
 x

4. Find the value of x or y
 60
 x

5. Write the converse
 If two lines are
perpendicular to the same
line, then the two lines are
parallel

6. State the Postulate or theorem that
justifies each statement
1.m4m6 180
2.k  p

7. 1. In the diagram of movie
theater seats, the incline of
the floor, f, is parallel to the
seats, s. If m1  68°, what is x?

8. 2. In the diagram, roads a
and b are parallel.
What is the measure of PQR?

9. In the diagram of the gate,
the horizontal bars
are parallel and the vertical
bars are parallel.
Find x and y.
3. x=
4. y=

10. Use the diagram of a staircase railing for Exercises 4 and 5.
AD || FJ. AG ||CJ
and Choose the best answer.
4.Which is a true statement
about the measure of DCJ?
A It equals 30°, by the Alternate
Interior Angles Theorem.
B It equals 30°, by the
Corresponding Angles Postulate.
C It equals 50°, by the Alternate
Interior Angles Theorem
D It equals 50°, by the
Corresponding Angles Postulate.

11. 5. Which is a true statement
about the value of n?
F It equals 25°, by the
Alternate Interior Angles Theorem.
G It equals 25°, by the
Same-Side Interior Angles
Theorem.
H It equals 35°, by the
Alternate Interior Angles Theorem.
J It equals 35°, by the
Same-Side Interior Angles
Theorem.

12. Are These Lines Parallel?
t
a
40º 140º b

13. Are These Lines
Parallel?
40º
t
a
140º b

14. Are These Lines
Parallel?
80º
t
a
80º b

15. Are These Lines
Parallel?
t
a
b
70º
70º

16. Yes or No!!
Are the converses of the
corresponding angles
postulate, alternate int. angles
thm, alt. Ext. angles thm and
same side interior angles thm
true?

17. Yes or No!!
Are the converses of the
corresponding angles postulate,
alternate int. angles thm, alt.
Ext. angles thm and same side
interior angles thm true?

18. OBJECTIVE
To PROVE THAT
LINES ARE
PARALLEL.

19. Converse of the Corresponding
Angle post
If two lines are cut by a
transversal such that
corresponding angles are
congruent, then two lines
are parallel.

20. Converse of the Alternate
Interior Angle Theorem
If two lines are cut by a
transversal such that
alternate interior angles
are congruent, then the
lines are parallel.

21. Converse of the Same Side
Interior Angle Theorem
If two lines are cut by a
transversal such that same
side interior angles are
supplementary, then the
lines are parallel.

22. STATE EARLIER THEOREM
t
a
b

23. THEOREM
If two lines are
perpendicular to the same
line, then the lines are
parallel to each other.

24. NEW THEOREM
If a || b
and
a || c,
then?????????

25. THEOREM
If two lines are parallel
to the same line, then
the lines are parallel
to each other.

26. Conclusions
 1) State the converses
 2) If two lines are
perpendicular to the same
line then…
 3) If two lines are parallel
to the same line then...