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?)
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.
(22 votes)
Martinez, Rayleen; 200807072
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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(8 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)
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...”
Is there anything I can do to help you?
(2 votes)
AHHHHH, MONSTERS!
2 years agoPosted 2 years ago. Direct link to AHHHHH, MONSTERS!'s post “gelp im in 8 doing this w...”
gelp im in 8 doing this while other people are doing calculus rn :sob:
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).
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.
If we look at two figures and see the following characteristics, we know that the two figures are similar: They have the same shape. Their corresponding angles are congruent. The ratios of the lengths of their corresponding sides are equal.
Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
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.
AA (Angle-Angle): If triangles have two of the same angles, then the triangles are similar. SAS (Side-Angle-Side): If triangles have two pairs of proportional sides and equal included angles, then the triangles are similar.
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.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
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.
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.
You may see triangles that are flipped, or rotated, but they can still be similar if there's only a difference in their size. Another thing to note is that with two similar triangles, their corresponding sides have the same ratio.
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.
In summary, congruent shapes are those that have the same shape and the same size.Similar shapes have the same angles and proportional sides, but are different sizes.
Two triangles are similar if they have the same shape but not necessarily the same size. The corresponding angles are equal, and the corresponding sides are proportional. We can think of one similar triangle as an enlargement or a reduction of the other. (See the figures below.)
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.
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