What additional information is needed to prove that the triangles are similar? to prove △xyz ~ △mno using sss, you need to know that . now that you know the length of xz, you need to know that angle o is congruent to to prove △xyz ~ △mno using sas.

For SSS all three sides must be known and for SAS two sides and  a angle between these two sides of both triangles must be known.

Step-by-step explanation:

To prove two triangles congruent  using SSS rule we need to know all the three sides of triangle that are XY, YZ and XZ of XYZ and also all the three sides of triangle MNO that are MN, NO and MO.

To prove two triangles congruent using SAS rule we need to know the two sides and the angle formed between these two lines of both the triangles.

If XY and YZ sides are known then for SAS rule angle ∠XYZ must be known for using SAS rule.

Similar triangles may or may not be congruent.

From the question, we have:

by SSS

The above means that:

Triangle XYZ and triangle MNO are congruent by SSS postulate

So, the following must be true

So, for by SSS to be true, all corresponding sides of the two triangles must be congruent

Similarly, for SAS postulate,

Two corresponding sides and the angle between these two sides must be congruent

Read more about similar triangles at:'

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step-by-step explanation: