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Similarity Definition (G.SRT.2 Wkst 2) Guide
What is a transformation?
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What is the definition of similarity?
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What are the similarity transformations?
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Determine two similartiy transformations that
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G.SRT.2 WORKSHEET #2
NAME: _______________________________
1
1. Name the similarity transformations - What makes them different from the isometric transformations?
2. Why are isometric transformation a part of the similarity transformations?
3. Determine whether the following are (T)rue or (F)alse.
a) Similarity transformations are all isometric transformations.
b) Rotation is a similarity transformation.
c) All transformations are isometric.
d) Dilation is a non-isometric transformation.
e) Stretch is not a similarity transformation.
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T
T
T
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or
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4. Given that ∆AFG ∼ ∆DRH. Complete the following.
∠H ≅ ∠ ______
DR DH
=
AF
______
∠D ≅ ∠ ______
RH
______
5. Pentagon ABCDE is similar to Pentagon RYMNT. Complete the following.
∠C ≅ ∠ ______
AB ED
=
RY
______
MN CD
=
RT
______
A
C
M
N
B
Y
R
E
∠T ≅ ∠ ______
NT RT
______
=
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AB RY
=
BC
______
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6. ∆ABC is similar to another triangle. Provided is some information about the two triangles,
BC AB
. From
=
DR TD
this information determine the triangle similarity statement.
∆ABC ∼ ∆_________
7. The two figures in each question are similar. Create the similarity statement from the diagram.
a) Pentagon GYKMR ∼ ____________
b)
∆JMT ∼ __________
c)
T
∆BAC ∼ __________
G.SRT.2 WORKSHEET #2
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8. Determine the sequence of similarity transformations that map one figure onto the other thus establishing that the
two figures are similar.
a) Determine two similarity transformations that would
map Quad. OBCD onto Quad. OHTE.
b) Determine two similarity transformations that would
map ∆OBC onto ∆ΟGT.
____________________ followed by _________________
____________________ followed by _________________
c) Determine two similarity transformations that would
map Quad. GHIJ onto Quad. RKYT.
d) Determine two similarity transformations that would
map ∆MNT onto ∆RFH.
____________________ followed by _________________
____________________ followed by _________________
G.SRT.2 WORKSHEET #2
3
9. Jose claims that he was able to do 4 different double similarity transformations to map ∆CDE onto ∆MPN. Let us see
if you can do 4 as well. (Show the steps)
a) Method #1
b) Method #2
____________________ followed by _________________
____________________ followed by _________________
c) Method #3
d) Method #4
____________________ followed by _________________
____________________ followed by _________________
G.SRT.2 WORKSHEET #2
4
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1. Name the similarity transformations - What makes them different from the isometric transformations?
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3. Determine whether the following are (Tlrue or (F)alse.
a) Similarity transformations are all isometric transformations.
b) Rotation is a similarity transformation.
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T
T
T
c) All transformations are isometric.
d) Dilation is a nor]i-isometric transformation.
e) Stretch is not a similarity transformation.
4. Given that AAFG
- ADRH. Complete
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AF
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F
@
F
F
the following.
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E
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A
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5. Pentagon ABCDE is similar to Pentagon RYMNT. Complete the following.
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BC AB
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this information determine the triangle similarity statement.
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a)
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c)
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G.SRT,IWORKSHEET #2
sequence of similarity transformations that map one figure onto the other thus establishing that the
two figures are similar.
g. Determine the
a) Determine two similarity transformations that would
map Quad. OBCD onto Quad. OHTE.
b) Determine two similarity transformations that would
map AOBC onto AOGT.
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G,SRT.2 WORKSHEET
#2
3
9. Jose claims that he was able to do 4 different double similarity transformations
if you can do 4 as well. (Show the steps)
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