Question

Based only on the information given in the diagram, which congruence theorems could be given as reasons why ABC DEF? Check all that apply.

Answer 1

what types of triangles are these?

Answer 2

i put up a picture of the triangles

Answer 3

I know, I'm asking you what kind they are

are they acute triangles? obtuse triangles? right triangles?

Answer 4

im guessing they are right angles

Answer 5

they are (the square angles)

Answer 6

so they are right triangles

Answer 7

because of this, we can use two special congruence theorems that only apply to right triangles

Answer 8

any ideas what they are?

Answer 9

hypotenuse- leg,and side angle side?

Answer 10

close

Answer 11

HL and LL

HL = hypotenuse leg

LL = leg leg

Answer 12

but since we don't know anything about the hypotenuse from the drawing, we can't use HL

so we can only use LL

Answer 13

what else can we use?

Answer 14

ha, and la?

Answer 15

correct, this also only applies to right triangles (sry just had to confirm that)

so if you know the hypotenuse and an acute angle, then you can use HA

if you know one leg and an acute angle, then you can use LA


HA = hypotenuse angle
LA = leg angle

Answer 16

what else

Answer 17

i can use others? angle angle side?

Answer 18

good, there's a lot you can use actually

you can also use SAS

the only thing you can't use is HL and HA since we know nothing about the hypotenuse

Answer 19

but because we have info about both legs, the right angle, and we have one acute angle, we can use those other theorems

Answer 20

so the answer to my question would be LA, SAS, AND LL?

Answer 21

AAS as well (I guess you didn't write that out since you already picked it)

Answer 22

THANK YOU very much!!!

Answer 23

you're welcome