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No. That's why they are called "similar" and not "congruent".
Here's a list of 12 different triangles. Every one of them is similar
to all the other 11, but no two of them are congruent:
Lengths of sides:
=> 1, 1.5, 2
=> 2, 3, 4
=> 3, 4.5, 6
=> 4, 6, 8
=> 5, 7.5, 10
=> 6, 9, 12
=> 7, 10.5, 14
=> 8, 12, 16
=> 9, 13.5, 18
=> 10, 15, 20
=> 11, 16.5, 22
=> 12, 18, 24
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If two triangles are congruent are they similar?
yes
Two triangles that have the same angles?
The triangles are similar, but not necessarily congruent.
Are two triangles with corresponding congruent angles congruent?
No, they are similar. They may be congruent, but they need not be.
Are similar triangles always congruent?
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
If the vertex angles of two isosceles triangles are congruent are the triangles always similar?
Yes, they are.
The term for two triangles that are congruent after a dilation is?
The term for two triangles that are congruent after a dilation is similar.
What do you call two triangles with proportional sides?
They are said to be similar but not congruent triangles.
If two triangles are congruent are they similar?
yes
Two triangles that have the same angles?
The triangles are similar, but not necessarily congruent.
Are two triangles with corresponding congruent angles congruent?
No, they are similar. They may be congruent, but they need not be.
What is the term for two triangles that are congruent after a dilation?
Similar
What are two isosceles triangles with congruent vertex angles?
They're similar triangles.
Is sss a way to find if triangles are similar?
Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.When two triangles have corresponding sides with identical ratios, the triangles are similar.Of course if triangles are congruent, they are also similar.
Are similar triangles always congruent?
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Can you always cut a right triangle into two congruent triangles?
Similar, YES. Congruent, NO.
Why congruence is a special case of similarity?
Term similar is more wide than term congruent. For example: if you say that two triangles are congruent that automatically means that they are similar, but if you say that some two triangles are similar it doesn't have to mean that they are congruent.
