WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures...
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Transcript of WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures...
![Page 1: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/1.jpg)
WARM-UP
1.What triangle structures do Similarity and Congruence have in common?
2.Which structures are used only for Congruence?
3.Which structures are used only for Similarity?
4.Why are the ones for congruence not used for Similarity
![Page 2: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/2.jpg)
A TA L E O F M A N Y K I TT E N S …
CAN I HAZ SIMILARITY?
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TWO WAYS TO THINK ABOUT SIMILARITY
• Things you can say once you already know two shapes are similar
• How to determine whether or not two figures are similar
![Page 4: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/4.jpg)
IF YOU KNOW TWO SHAPES ARE SIMILAR:
• You can use the similarity statement to:1. Identify Corresponding Parts2. Create proportions3. Determine congruent
Correct!
Incorrect!
![Page 5: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/5.jpg)
IF YOU KNOW TWO SHAPES ARE SIMILAR:
• You can use the similarity statement to:1. Identify Corresponding Parts2. Create proportions3. Determine congruent angles
Correct!
Incorrect!
![Page 6: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/6.jpg)
IF YOU KNOW TWO SHAPES ARE SIMILAR:
• You can use the similarity statement to:1. Identify Corresponding Parts2. Create proportions3. Determine congruent angles
Correct!
Incorrect!
![Page 7: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/7.jpg)
IF YOU KNOW TWO SHAPES ARE SIMILAR:
• You can use the similarity statement to:1. Identify Corresponding Parts2. Create proportions3. Determine congruent angles
Next
![Page 8: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/8.jpg)
IF YOU KNOW TWO SHAPES ARE SIMILAR:
• You can use the similarity statement to:1. Identify Corresponding Parts2. Create proportions3. Determine congruent angles
1
2
3
![Page 9: WARM-UP 1.What triangle structures do Similarity and Congruence have in common? 2.Which structures are used only for Congruence? 3.Which structures are.](https://reader036.fdocuments.us/reader036/viewer/2022062408/56649f2b5503460f94c46a7a/html5/thumbnails/9.jpg)
IN ORDER TO SHOW TWO FIGURES ARE SIMILAR
• You need to:1. Identify Corresponding parts2. Create Proportions3. Identify Congruent Angles • Using one of the
following “structures”i. AAii. SASiii. SSS
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CORRESPONDING… KITTENS?
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WHICH PAIR OF CATS ARE CORRESPONDING? WHY?
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QUALITY/QUANTITY VS. STRUCTURE
• “Biggest side” (Quantity or quality of the side) vs.• “The included side of the smallest and medium
angles” (Location of the side in the structure of the triangle)• Note: Structure
makes use of quantity and quality, but just goes a step further.
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RATIOS: ONE ITEM OVER ANOTHER
We usually try to compare two things that correspond
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RATIOS, PROPORTION, SIMILARITY, AND CONGRUENCE
• If two ratios are equal, we say they are proportional• If all of the corresponding sides of a figure are
proportional, the figures are similar.• If two figures are similar, their corresponding
angles are congruent.
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ANY QUESTIONS?