wmhs geometry - lesson 17 - sas and sss criteria.notebook...5) vertical, alt int, aa 1) shared...
TRANSCRIPT
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
Once we know that two figures are similar, what can we conclude about their
Angles?
Sides? calculator
8) NO 9) x = 5.5, y = 9.42
10) x = 4, y = 4 1a) isosceles
5) Vertical, alt int, AA
1) Shared angle, perp, AA 2) FE = 10, FL = 4.8
p 26
p 27
p 28
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
But first we need to establish two more similarity criteria this time using sides
What is our general plan going to be? (based off how we established AA yesterday)
p 24...
(goal 7)
Today we are going to justify why two triangles are similar (goal 1)
lvl 3 today, lvl 4 tomorrow
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
Establishing SAS Similarity
A
B
CD
E
F
Given:
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
SAS is a valid similarity criteria because we can _________ the first figure to make it the same size as the second. Because the scale factors are the same and the angles are equal, this image is __________ to the second triangle by ______. Since congruence means there is a mapping of ______________, there is a sequence of _______________ and _____________ that maps one triangle to the other.
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2 3
4
5 6
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
Establishing SSS Similarity
A
B
CD
E
F
Given:
Prove: ABC ~ DEF
SF = DEABso once we perform the dilation we get A'B'C'
What do we know about this triangle?Dilation so
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
p 31Goal 1
Which criteria should we look for? sides
find ratios
angles need equal
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
show like proof ish
p 32
Which criteria should we look for?
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
p 32
Which criteria should we look for?
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
p 32
talk about why some may say these are similar (+2)
A lot of people say these are similar. Why might that be the case?
(what mistake did they make)
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
p 33
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2B Lesson 17 SAS and SSS Criteria.notebook
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February 05, 2019
p 33
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2B Lesson 17 SAS and SSS Criteria.notebook
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p 3133 # 510 (if we didn't get to them)
p 34 35
p 37 #6, 7
exit 15
30
10
45
Are these triangles similar? Justify
Page 1: Feb 9-2:12 PMPage 2: Feb 9-2:14 PMPage 3: Feb 3-7:46 PMPage 4: Feb 5-8:39 AMPage 5: Feb 3-7:46 PMPage 6: Feb 9-2:21 PMPage 7: Feb 9-2:23 PMPage 8: Feb 9-2:23 PMPage 9: Feb 9-2:23 PMPage 10: Feb 9-2:24 PMPage 11: Feb 9-2:25 PMPage 12: Feb 4-1:52 PM