Question

7. Look at the figure below.

Which theorem can be used to show that triangles QSN and LEJ are congruent?

A. HL
B. ASA
C. SAS
D. SSA

Answer 1

I'm pretty sure that ' HL ' stands for "hypotenuse and leg". That's the one.

-- We see the little boxes in the lower left corners, so we know that these are right triangles, and we can use the rules we know about for right triangles.

-- The hypotenuses of both triangles are marked with the same length.

-- The base legs of both triangles are marked with the same length.

-- So we have (the hypotenuse and one leg of one right triangle) equal to (the hypotenuse and corresponding leg of another right triangle). That's exactly the description of the HL conguence theorem, so we know that these two triangles are congruent.