Geometry
Ch 1: Lesson #1 Homework
Name: _______________________
Use the letter in each of the choices boxes to find the figure that matches the geometric name. “None” will be
the correct answer for a few problems. Note: When there is an answer, there is only one correct answer.
1) GTP
4) G
6) GPT
2)  P
5) T
3) GP
7)
8)
9)
(B)
(C)
10)
12) TGP
11)
Choices:
(A)
P
G
P
R
(D)
P
P
T
(F)
G
P
T
G
(E)
G
P
G
Drawings: Complete each drawing paying close attention to the correct labeling. Use capital letters for points
but note that there is a way to name lines with a lower case letter that is not a point. Use a straight edge to make
your drawing neat.
13) Draw
and then add Y and U
so that points R, T and Y are all on
the same line but U is not on the
line.
14) Draw
and
form GEY .
so that they
15) Draw line a and line b so that
they intersect at D.
Note: R, Y, and T are said to
be collinear since they are on
the same line.
16) Draw FR and GY so they
intersect at G.
17) Draw two separate angles.  B
and TVC
18) Label the ray below so that it is
If you were reading out loud a math problem with these figure names, what would you say for each?
20) A
21)
22)
19) TVC
Example: FR
“segment F R”
23) Collinear and Coplanar:
a) Which point is collinear with H and J? ____
b) Which point is coplanar with A, D, and C? ____
K
c) State all the points that are on the top face. _____, _____, _____, _____
d) Choose any three of those points to name the top face: Plane __ __ ___
e) State all the points that are on the left face: ____, ____, ____, ____
f) Which points are on both the top and the left face? ____ and _____
g) The intersection of front face and the left face is a line that is on both
faces, name the line:
Algebra Practice – Show all steps.
24) Simplify the expressions. Show all work vertically completing only one operation per step.
3
2
2
a) 10  4(3  8)
b) 3  5(1  4)
c) 10  3  8  6 
10  4 


10  4 
2
3  5

3  5 
10  ____
3  ___
____
____
2
25) Evaluate each expression by substituting in the value and simplifying.
a)
4 x 2  2 x  5, x  3
4  ___   2  ___   5
2
4  ___   ____  5
b)
c) 5 x  2 x  1,
2
4x  2 y  3 y , x  3 y  2
2
4
  2    3 
b)
3x  5  4  3 x  8 
x  2
2
____  ____  5
____  5
____
26) Solve the following equations.
a) 5x  2  3x  14
c)
4  4a  3 11a  8
Jumbled Answers to (with extras) 24-26: –35, –14, –4, –1, 3, 4, 6, 8, 25, 48, 90