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
0
