....
-
/
Geometry Chapter 3 Pre-test Worksheet
Chapter 3 Standards
•
Dilate a figure with a specific center of dilation and scale factor
•
Identify angles and their corresponding
•
Determine
•
Use a flow chart or 2-column proof to demonstrate
sides in any triangle
if two triangles are similar using triangle similarity conjectures
the steps needed to prove two triangles are similar
1) Dilate the shape using a zoom factor of 2 from B.
,
\
/
J
'I'
;B
2. Find the value of x in each of the following
a)
ABC RFED
A
b)
(NOT DRAWN TO SCALE) Show your work.
ABCDE R TUVWX
x
D
C
B
pairs of similar figures:
V.
E
6
E
3.~
V
X)T
U
F
7
C
D
Geometry
Chapter 3 Pre Test Worksheet
Page 1
'
c)
d)
L'1ABC ~ L'1PRX
X
A
18
6
C
B
12
R
P
3x+ 1
f) ABCDE ~ JKLMN
e)
ABCD ~ KGHJ
J
H
D
~
L
N
7
14
c
A
K
3. Name the three triangle similarity conjectures.
a)
b)
c)
4. Draw a pair of similar triangles to illustrate each ofthe three triangle similarity conjectures. You do not
have to draw the figures to scale, just put in symbols or or measurements
to show the necessary
information.
a)
Geometry Chapter 3 Pre Test Worksheet
b)
c)
Page 2
,
3. c) Determine if each of the triangle pairs are similar. If similar, state the similarity (name similar triangles
correctly) and reason (state the triangle similarity conjecture). If not, state why they are not similar. NOTE:
Figures may not be drawn to scale.
P
12
T
d).
c
K
L
77°
A
R
L
B
X
M
Similarity statement
w
Similarity statement
Reason
Reason
e)
A
e)
16.5
Similarity statement
4.
_
Reason
-------
Determine whether the triangle pairs below are similar. Use the back of this page to draw a flow chart to prove your
answers.
R
a)
b)
H
p
a
w
27
7.5
c
p
H
16.5
X
Geometry Chapter 3 Pre Test Worksheet
T
Page 3
~
Geometry Chapter 3 Pre-test Worksheet
Chapter 3 Standards
•
Dilate a figure with a specific center of dilation and scale factor
•
Identify angles and their corresponding
•
Determine if two triangles are similar using triangle similarity conjectures
•
Use a flow chart or 2-column proof to demonstrate
sides in any triangle
the steps needed to prove two triangles are similar
1) Dilate the shape using a zoom factor of 2 from B.
\1: i~:';), ,;9
'~·.Ij.r.:
11:)"
2. Find the value of
a}
-
x in each of the following pairs of similar figures: (NOT DRAWN TO SCALE)Show your work.
ABC RFED
E,D:::.X
A
b)
ABCDE R TUVWX
x
D
B
if,ifm
~~~
C
V.
E
6
M::~
FE.
E~
Rct - 'X
12-X=}'1
Geometry Chapter 3 Pre Test Worksheet
TV::
U
?<
CD
4L)
----:
-----
F
7
v
E
C
~"
D
J:L -
l)
~I
liS ~
14·
T
X ::
y' 3,5
II.! x
':
1'1
Page 1
LlABC ~ LlPRX
X
A
c)
d)
:PR<~x+1
1>,
7R
i3~IO
XP
A"B::;AE
6
,t >< ':. S- 2I
14
l~:~~]
3;<tl ~ 14
c
-C- iq
B
12
P
R
_ (9'14
3J(t 1- Tcf
3x+ 1
',;xtl ~ 4.21
l.0!l
~?b
e)
8
ABCD ~ KGHJ
f) ABCDE ~ JKLMN
J
H
D
~
L
N
7
14
c
A
k~G-::
't: 2/ S . 1 ~ \1. I)
y:.
-~c
kG
AI?> -
\1J
(::
t) .~,£j
=\).6
D
)( -
~-
~
\0
3. Name the three triangle similarity conjectures.
a)
SSS
b)
AA
c)
SA S tV
rV
fV
4. Draw a pair of similar triangles to illustrate each ofthe three triangle similarity conjectures.
have to draw the figures to scale, just put in symbols or or measurements
You do not
to show the necessary
information.
a)
S5 S
b)
tV
AA
N
Q3"
~v
~lo
.
~
9~o
vY1
4
11t1.(..
Geometry Chapter 3 Pre Test Worksheet
7
Cj ~P.:;,'m4.. q
it 7~:'ffi ~
3
III
lot 1
Page 2
3. c) Determine if each of the triangle pairs are similar. If similar, state the similarity (name similar triangles
correctly) and reason (state the triangle similarity conjecture). If not, state why they are not similar. NOTE:
Figures may not be drawn to scale.
p r- __
c)
-:!;1=-2
~
d).
----,0---
x
M
Similarity statement
Similarity statement
Reason -----"'---""-'~---
Reason ---'------
e)
jJ. AC B
IV
A l-M l<
R
B
tGS:::
1/
1,5 J
J
5" :: I. 5' .
1
LO.
A
e)
Similarity statement
4.
p-----_-.J
16.5
A ABC,
tv
M
.6 P M R
SA 5
Reason
1\/
Determine whether the triangle pairs below are similar. Use the back of this page to draw a flow chart to prove your
answers.
R
a)
b)
H
p
"'tel
0
w
7.5
c
~s 5rv
27
p
H
16.5
x
Geometry Chapter 3 Pre Test Worksheet
T
Page 3
4- ~ Y( C
~ .1. x QT
~ho.xed
j.£e/p
l'_
'1
O~l'\
'e
::. !::!.":. I. 5
18
..e.t!" HI·
I".)
ij"=
I t:
,J
Cory-e;por'kiili''1
-S {)./!/V\
e.
n7.J; 0
~idt» ha.!lt- ~