Question

Based only on the information given in the diagram which congruence theorems could be given as reasons why JKL QRS?

Answer 1

A. LL
B.LA
C. HA
D.HL
E.SAS
F.SSS

Answer 2

notice that, both are Right triangles.

Answer 3

All 3 corresponding sides are given congruent

Answer 4

So it can be SSS but i can apply all that apply

Answer 5

Yes many will apply

Answer 6

lets go one by one

Answer 7

A. LL

Are two corresponding Legs congruent between the two triangles ?

Answer 8

yes

Answer 9

good :) so tick LL

Answer 10

next,

B.LA

we dont have any idea about Angles other than the 90 degree right angle.
so this wont work.

Answer 11

C. HA

Same reason as above.
this wont work.

Answer 12

D.HL

tell me this, Are Hypotenuse and Leg congruent between both the triangles ?

Answer 13

yes

Answer 14

so tick HL

Answer 15

E.SAS

this works, cuz the sides including right angle are congruent between both the triangles