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How can we use dilating and congruence transformation to prove two triangles are similar?
Wiki User
∙ 9y ago
Recall that two triangles are similar if one is simply a larger or smaller version of the other. So if you can make one bigger or smaller (this is called dilating) so that it looks exactly the same as another (and would fit exactly if moved with a congruence transform), then this would show similarity.
Wiki User
∙ 9y ago
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Which pair of triangles must be similar?
Pairs of triangles, in general, do not have to be 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.
How are similar triangles useful for indirect measurement?
NO
What are two triangles that have the same shape but are different sizes called?
Those would be SIMILAR triangles.
How can similar triangles be made into congruent triangles?
dilating them.
Similar triangles can be made into congruent triangles by?
Dilating them
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.
If you have two boxes 12cmhigh12cmlong 12cmwide are they congruent or not similar?
No. Congruence implies similarity, so they are also similar. Though similarity is not enough for congruence.
Are congruent figures always similar figures?
Yes, congruence is a stronger condition than similarity.
How do you make a flowchart for congruent or similar triangles?
Here guys Thanks :D Congruent triangles are similar figures with a ratio of similarity of 1, that is 1 1 . One way to prove triangles congruent is to prove they are similar first, and then prove that the ratio of similarity is 1. In these sections of the text the students find short cuts that enable them to prove triangles congruent in fewer steps, by developing five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and HL ! , illustrated below.
If two figures are congruent then they are similar?
Yes. Congruence implies similarity. Though similarity is not enough for congruence.
Why is there an AA similarity postulate but not an AA congruence postulate?
The AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. However, the AA congruence postulate is not needed because knowing two angles of one triangle are congruent to two angles of another triangle doesn't guarantee that the triangles are congruent, as the side lengths can still be different.
Why cant you use AA or ASS properties to prove triangles congruent?
There is no AA congruence property. Two triangles with the same angles are similar, but need not be congruent. In other words, they are the same 'shape' but different sizes. For example, an equilateral triangle can be big or small, but all equilateral triangles have 60 degree angles. Although it is often said that there is no ASS congruence theorem in geometry, this isn't quite true. For prescribed values of angle, side, side, there are at most two different "congruence classes" of triangles realizing these values. In other words, there are really only at most two different types of triangles with those given values: any other triangle with the same values is congruent to one of those two. When you study trigonometry, you will learn something called the "Law of Sines." It will give you at most two possible values for the angle opposite the middle S in aSs (they are supplementary to each other.) Then the ASA congruence theorem can be applied.
If two shapes are congruent then are they also similar?
Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.
What do you call two triangles with proportional sides?
They are said to be similar but not congruent triangles.
Which pair of triangles must be similar?
Pairs of triangles, in general, do not have to be similar.
