Question

based on only the information given in the diagram
which congruence theroems could be given as reasons why abc is congruent to def

a la

b hl

c sas

d ha

e aas

Answer 1

i need help

Answer 2

We can see both the triangle's corresponding sides are equal. Do you see this?

Answer 3

yeah i see it

Answer 4

so we could SSS theorem. But I wonder it's not in the options

Answer 5

is RHS an option?

Answer 6

no

Answer 7

oh yeah, we have both right triangles
90 degree is between two sides
all corresponding sides are equal so it'd be??

Answer 8

could it be side angle side and hypotenuse leg

Answer 9

you're correct:D

Answer 10

is it only two

Answer 11

what's ha?

Answer 12

its hypotenuse acute

Answer 13

no it can't be

Answer 14

ok

Answer 15

The Hypotenuse-Acute Angle Theorem is a rule specially designed for use with right triangles. (If anyone cares, it is actually the Angle-Angle-Side rule.) It states if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, the two triangles are congruent.

Answer 16

we are not given acute angle equal

Answer 17

could it be leg acute

Answer 18

We are not given any info on angles, wait if we prove that angles are equal, then we could use O_o
Let me think

Answer 19

C) SAS

I'd go with this one

Answer 20

Since the right angle is given, as well as the two short legs, we could simply use pythagorean's theorem to find the third side.

Answer 21

theres no numbers on the triangles

Answer 22

There's a square :D

(which means 90 degrees)

Answer 23

@ash2326 Agree?

Answer 24

it could be hypotenuse leg also


The Hypotenuse-Leg Postulate is a rule that you can use with right triangles only. This rule is considered a postulate because it is not based on any other rules, as the theorems discussed above have been. It states if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
courtesy: http://library.thinkquest.org/20991/geo/crtri.html

Answer 25

i dont know i think im gonna give up on this one thanks for both of your help

Answer 26

No don't give up
It's SAS and HL

Answer 27

thanks i still got it wrong because i was missing side side side

Answer 28

yeah, but it wan't an option:(

Answer 29

it was my fault i forgot to include it

Answer 30

no problem :)