Triangle similarity review (article) | Khan Academy (2024)
Review the triangle similarity criteria and use them to determine similar triangles.
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grace.mews
5 years agoPosted 5 years ago. Direct link to grace.mews's post “i dont get most of this s...”
i dont get most of this stuff
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(28 votes)
KhanAcademy101
5 years agoPosted 5 years ago. Direct link to KhanAcademy101's post “Try to practice upon it a...”
Try to practice upon it and you might get it, or just use khan academy's practice a lot. Hope it helps
(23 votes)
meowcatmeow
7 years agoPosted 7 years ago. Direct link to meowcatmeow's post “How can you tell the diff...”
How can you tell the difference between SAS and SSA? (Assume you had a problem and had to chose if it was sim. because of SAS or SSA, how would you figure it out?)
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(12 votes)
Ezra
4 years agoPosted 4 years ago. Direct link to Ezra's post “SAS means that the angle ...”
SAS means that the angle is in between the two sides in question. SSA means the angle is not in between.
4 years agoPosted 4 years ago. Direct link to Martinez, Rayleen; 200807072's post “The videos im watching is...”
The videos im watching is not adding up to the working you guys are giving me. Im so lost.
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(14 votes)
beauregard42
2 years agoPosted 2 years ago. Direct link to beauregard42's post “Yo, man. This is how we d...”
Yo, man. This is how we do da thing. Firstly, if the triangles have 2+ matching corresponding angles, then it is similar. If it has side lengths that can be divided by a number, say X, and then match the side lengths of your other triangle, then it is similar. If it has 2 matching corresponding(see last sentence) sides, and the angle between these is the same, then it is similar. -Beauregard42. If this helps you, your welcome.
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(9 votes)
JAKE617
4 years agoPosted 4 years ago. Direct link to JAKE617's post “Define Equation”
Define Equation
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(2 votes)
Evan
4 years agoPosted 4 years ago. Direct link to Evan's post “An equation is a statemen...”
An equation is a statement with an equals sign.
So 3 + 5 = 8 and 5x + 12 = (x / 4) + 3 are both equations, but 24 * 9 and 3y ≥ x - 8 are not equations.
(13 votes)
Tim O
a year agoPosted a year ago. Direct link to Tim O's post “What other triangle simil...”
What other triangle similarity criteria can be used?
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(3 votes)
annasusan.pra
a year agoPosted a year ago. Direct link to annasusan.pra's post “I believe AA, SAS, and SS...”
I believe AA, SAS, and SSS are the only triangle similarity theorems
(6 votes)
Michelle Banks
8 months agoPosted 8 months ago. Direct link to Michelle Banks 's post “I thought I thought I wou...”
I thought I thought I would need a calculator for quiz 1, But I got a 100% Without even trying. *And I never did this before!*
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(5 votes)
Lynn
5 months agoPosted 5 months ago. Direct link to Lynn's post “Good job!”
Good job!
(2 votes)
∘◇Σuπ◇∘
2 months agoPosted 2 months ago. Direct link to ∘◇Σuπ◇∘'s post “Couldn't ASA also work?”
Couldn't ASA also work?
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(2 votes)
Barrett Southworth
2 months agoPosted 2 months ago. Direct link to Barrett Southworth's post “erm, well ok ASA shows th...”
erm, well ok ASA shows that two triangles are congruent which means they are similar. However, if you want two similar triangles that are not congruent then ASA does not work.
(5 votes)
zachary.foret
2 years agoPosted 2 years ago. Direct link to zachary.foret's post “These lessons do not expl...”
These lessons do not explain SSS similar triangles very well. What lesson would help me understand the basics?
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(2 votes)
connormoorhouse51
a year agoPosted a year ago. Direct link to connormoorhouse51's post “I suppose trying the Tria...”
I suppose trying the Triangle Similarity postulates/criteria lesson, or going back and reading the articles and doing all of the practice problems may help you. Ultimately, in summary, the SSS similarity is used when every side can be multiplied by a constant to get the new side, for example, if AB/XY was 4, AC/AZ was 4, and BC/YZ was 4, it would be a SSS similarity because each value can be multiplied either by 4 or 1/4 (depending on which number is larger) which is defined as the constant. I hope this helps!
(4 votes)
djackson0094
3 years agoPosted 3 years ago. Direct link to djackson0094's post “i don't get it sometimes”
i don't get it sometimes
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(3 votes)
lily.m.2203
3 years agoPosted 3 years ago. Direct link to lily.m.2203's post “Is there anything I can d...”
Firstly, if the triangles have 2+ matching corresponding angles, then it is similar. If it has side lengths that can be divided by a number, say X, and then match the side lengths of your other triangle, then it is similar.
Two shapes are similar if we can change one shape into the other using rigid transformations (like moving or rotating) and dilations (making it bigger or smaller).
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
By definition, two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional. It is not necessary to check all angles and sides in order to tell if two triangles are similar.
The side-angle-side (SAS) similarity theorem states that triangles are similar if: The ratios of two of the corresponding sides of the triangles are proportional to one another. The included angle, or angle between the proportional sides, is congruent in the two triangles.
Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
Similar triangles are easy to identify because you can apply three theorems specific to triangles. These three theorems, known as Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS), are foolproof methods for determining similarity in triangles.
Similar triangles have the same shape but different sizes. In similar triangles, corresponding angles are equal. Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides.
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.
Similar triangles have the same shape but are not of the same size. Each corresponding pair of angles of the two similar triangles is equal. The ratio of any pair of corresponding sides of similar triangles is the same.
The concept of similar triangles is very much of use in our lives. If we want to find the height of an object, say a building or a tower, we can do so by measuring the length of the shadows and then using the similar triangles, we can find the height of the required object.
As we said, when two shapes are similar, they have the same shape, but differ in size. In other words, we can obtain one shape from the other by resizing one of the shapes. Because of this, similar shapes have two important properties that have to do with the measures of their angles and the lengths of their sides.
Step 1: Transform one of the triangles such that the orientation of the triangles is the same. Step 2: Identify the corresponding sides of the triangles and write each set of corresponding sides as a ratio. If the ratios of the side lengths are the same for all 3 sides, then the triangles are similar.
Theorem: If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. This proves that the ratio of the area of two similar triangles is proportional to the squares of the corresponding sides of both the triangles.
Similar Right triangles: Two right triangles are similar if the corresponding sides are proportional to each other, and the corresponding angles are congruent.
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