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 below would prove the two triangles are congruent?
ANSWER CHOICES:
SSS
SAS
ASA
HL

Answer 1

The correct answer is:

HL

Explanation:

These will both be right triangles, as angle Q and angle Q' are both 90 degrees.

Since Q and Q' are the right angles, this means that RS and R'S' are the hypotenuses of the two right triangles.

Since Q'R'S' was created by translating QRS, a corresponding leg of both triangles will be congruent; this gives us hypotenuse-leg, or HL.