Question

Triangle QRS has been translated to create triangle Q'R'S'. RS= R'S' = 10 units, angles Q and Q' are both 90 degrees. Which postulate or theorem below would prove the two triangles are congruent?

Answer 1

@sammixboo

Answer 2

@pooja195

Answer 3

@mathmate

Answer 4

SSS
SAS
ASA
HL

Answer 5

@mathmale

Answer 6

We are given one side and one angle congruent, which are insufficient for using SAS or ASA (and not SSS).
Please remind me what HL stands for.
However, we know that Q'R'S' is translated from QRS, so by properties of translations, all side lengths are preserved, as well as angles. Using this information, any one of SSS, SAS, ASA would fit the bill.