Math 8: similarity
Notes #46
Section #6: Similar Figures, Sequence of Transformation 8.G.4.
Corresponds with Module 3, Lessons 8.
_____________________________
Example#1: In the picture below we have a triangle 𝐴𝐵𝐶, that has been dilated from center 𝑂. It is
noted by 𝐴′𝐵′𝐶′. We also have triangle 𝐴′′𝐵′′𝐶′′, which is congruent to triangle 𝐴′𝐵′𝐶′
(i.e., ∆𝐴′𝐵′𝐶′ ≅ ∆𝐴′′𝐵′′𝐶′′).
Describe the sequence that would map triangle 𝐴𝐵𝐶 onto triangle 𝐴′′𝐵′′𝐶′′.
Exercises: 𝑨𝑩𝑪 was dilated from center 𝑶 denoted by 𝑨′𝑩′𝑪′. Another 𝑨′′𝑩′′𝑪′′ is congruent
to 𝑨′𝑩′𝑪′. Describe the sequence that would map triangle 𝑨𝑩𝑪 onto triangle. 𝑨′′𝑩′′𝑪′′
Key Concept!
Similar Figures can be mapped onto two each other by a sequence of a ______________ followed by
a congruence (_________________________________________).
 If two figures are similar then:

Their corresponding angles are ___________________.

Their corresponding sides are _________________________
1.
Describe the sequence that would show ∆𝐴𝐵𝐶~∆𝐴′ 𝐵′ 𝐶 ′ .
A
B
B’
C
A’
2.
C’
Are the two triangles shown below similar? If so, describe the sequence that would prove ∆𝐴𝐵𝐶~∆𝐴′𝐵′𝐶′. If not,
state how you know they are not similar.
Lesson Summary
Similarity is defined as mapping one figure onto another as a sequence of a ____________________ followed by a
_________________________ (a sequence of rigid motions).
The notation, ∆𝐴𝐵𝐶~∆𝐴′ 𝐵′ 𝐶 ′ , means that ∆𝐴𝐵𝐶 is ______________ to ∆𝐴′𝐵′𝐶′.
Math 8: similarity
HW #46
Section #6: Similar Figures, Sequence of Transformation 8.G.4.
Corresponds with Module 3, Lessons 8.
_____________________________
1.
Describe the sequence of a dilation, followed by a congruence (a sequence of one or more rigid motions), that would
map triangle 𝐷𝐸𝐹 onto triangle 𝐷′′𝐸′′𝐹′′.
2.
Describe the sequence that would show ∆𝐴𝐵𝐶~∆𝐴′ 𝐵′ 𝐶 ′ .
A
B
3.
Are the two figures shown below similar? If so, describe the sequence that would prove the similarity. If not, state
how you know they are not similar.
4.
Triangle 𝐴𝐵𝐶 is similar to triangle 𝐴′𝐵′𝐶′, (i.e, ∆𝐴𝐵𝐶~∆𝐴′𝐵′𝐶′). Prove the similarity by describing the sequence that
would map triangle 𝐴′𝐵′𝐶′ onto triangle 𝐴𝐵𝐶.
5.
Are the two figures shown below similar? If so, describe the sequence that would prove ∆𝐴𝐵𝐶~∆𝐴′𝐵′𝐶′. If not,
state how you know they are not similar.