Podcast
Questions and Answers
Given $\bigtriangleup YES \sim \bigtriangleup NOT$, which statement must be true?
Given $\bigtriangleup YES \sim \bigtriangleup NOT$, which statement must be true?
- $\frac{EN}{YO} = \frac{ST}{EO} = \frac{YN}{TS}$
- $\frac{NO}{YE} = \frac{OT}{ES} = \frac{NT}{YS}$
- $\frac{EY}{ON} = \frac{SE}{TO} = \frac{SY}{TN}$
- $\frac{YE}{NO} = \frac{ES}{OT} = \frac{YS}{NT}$ (correct)
If $\bigtriangleup ABC \sim \bigtriangleup DEF$, with AB = 8, DE = 12, and BC = 10, what is the length of EF?
If $\bigtriangleup ABC \sim \bigtriangleup DEF$, with AB = 8, DE = 12, and BC = 10, what is the length of EF?
- 15 (correct)
- 7.5
- 6.67
- 16
In $\bigtriangleup ABC$ , D is a point on AB and E is a point on AC such that DE is parallel to BC. If AD = 4, DB = 6, and AE = 5, what is the length of EC?
In $\bigtriangleup ABC$ , D is a point on AB and E is a point on AC such that DE is parallel to BC. If AD = 4, DB = 6, and AE = 5, what is the length of EC?
- 6
- 8
- 7.5 (correct)
- 12.5
Two similar triangles have areas of 36 $cm^2$ and 81 $cm^2$. If a side of the smaller triangle is 8 cm, what is the length of the corresponding side of the larger triangle?
Two similar triangles have areas of 36 $cm^2$ and 81 $cm^2$. If a side of the smaller triangle is 8 cm, what is the length of the corresponding side of the larger triangle?
Flashcards
What are similar triangles?
What are similar triangles?
Triangles with the same shape but possibly different sizes. Their corresponding angles are equal, and corresponding sides are in proportion.
What are corresponding sides?
What are corresponding sides?
Sides that occupy the same relative position in two similar figures.
What are corresponding angles?
What are corresponding angles?
Angles that occupy the same relative position in two similar figures. They are equal in measure.
What is the side ratio in similar triangles?
What is the side ratio in similar triangles?
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How to do scale factor?
How to do scale factor?
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Scale factor greater then 1 equals smaller or bigger?
Scale factor greater then 1 equals smaller or bigger?
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Scale factor less then 1 equals smaller or bigger?
Scale factor less then 1 equals smaller or bigger?
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Dilating by 3?
Dilating by 3?
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Dilating by 1/3?
Dilating by 1/3?
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90 degrees clockwise
90 degrees clockwise
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180 degrees clockwise or counter
180 degrees clockwise or counter
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270 degrees clockwise or 90 degrees counter
270 degrees clockwise or 90 degrees counter
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Study Notes
- Given that triangle ∆YES is similar to triangle ∆NOT, find which statement must be true.
- The correct statement is NO/YE = OT/ES = NT/YS.
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Description
This content focuses on similar triangles, specifically ∆YES and ∆NOT. The key concept is understanding the proportionality of corresponding sides in similar triangles. Learn how to set up correct ratios to solve for unknown side lengths or determine similarity.
