If I have two triangles, and they are similar but different sizes, how would I write a similarity statement for them?

Answer 1

Let the 2 similar triangles have vertices A,B,C and D,E,F respectively.
Then we write : #DeltaABC|||DeltaDEF#,

When 2 triangles are similar, then all their corresponding angles are equal, and all their corresponding sides are in proportion.

So for example, if triangle ABC is similar to triangle DEF, then we write #DeltaABC|||DeltaDEF#, and it imples that angles #hatA=hatD, hatB=hatE and hatC=hatF#.
Furthermore sides #(AB)/(DE)=(BC)/(EF)=(AC)/(DF)#.
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Answer 2

If two triangles are similar but different in size, you can write a similarity statement by identifying the corresponding angles and sides.

For example, if triangle ABC is similar to triangle DEF, you can write the similarity statement as:

Triangle ABC ~ Triangle DEF

You can also specify the corresponding vertices, indicating which angles and sides correspond:

∠A ≅ ∠D ∠B ≅ ∠E ∠C ≅ ∠F

And you can denote the corresponding sides:

AB/DE = BC/EF = AC/DF

This statement asserts that the corresponding angles are congruent and the corresponding sides are proportional, indicating similarity between the two triangles.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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