Yes. Corresponding angles of the two triangles are always equal,
and lengths of corresponding sides are always in the same ratio.
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Increasing the dimensions of the smaller of the similar triangles (if they are not already congruent) by a suitably chosen constant factor.
No.
Yes. Imagine an equilateral triangle. If two vectors are in the directions - and lengths - of two of the sides, the resultant will be the third side (depending on the directions chosen, of course).
what is the type of sample in which each member of the sample set or group has an equal chance of being chosen
what is the type of sample in which each member of the sample set or group has an equal chance of being chosen