Geometry
Name______________________
Assignment #1: Basic Concepts
Due: Sept. 6
Directions: Please show your work and thought process for every problem.
1) In the diagram below, consider the angles PQS and RQS . Are these angles adjacent
angles? Justify your answer.
S
R
P
Q
2) Using the figure below, answer the following questions:
F
t
I
s
r
P
G
u
w
H
J
a) Name the following angles using capital letters: p , u , w ,  t , s
b) Why should GIH not be referred to as I ? Name an angle in the figure that may be
appropriately indicated using only one capital letter.
3) Consider a pair of gloves. Are the gloves congruent?
Geometry
4) Consider three angles, F , U , and N . Suppose F is congruent to U and U is
congruent to N . What conclusion can you draw from this information?
5) Suppose you are given two line segments. T is on the segment RF and J is on the
segment DC . State a conclusion (if one is possible) based on the following given information:
a) RF  DC and TR  DJ
b) RT  DJ and TF  CJ
c) RF  DC and TF  CJ
6) Suppose you are given two angles, LUV and DOG . UB is a ray in the interior of LUV
and OA is a ray in the interior of DOG . State a conclusion (if one is possible) based on the
following given information:
a) LUV  DOG and LUB  DOA
b) LUB  DOA and BUV  AOG
c) LUV  DOG and BUV  AOG