Question

**HELP***I
complete the following statements by writing one of the following: AAS ASA HL SAS SSS
1)if AB≅CB and BD bisects∠ABC, then ΔABD≅ΔCBD by________
2)If∠ADB≅∠CDB and ∠A≅∠C,then ΔABD≅ΔCBD by______
3)BD is an altitude and AB≅CB, then ΔABD≅ΔCBD by______then∠A≅∠C because corresponding parts of ≅ Δs are ≅
4)if∠ABD≅∠CBD and BD is perpendicular to AC, then ΔABD≅ΔCBD by_______
5)if AB≅CD and BD bisects AC, then ΔABD≅ΔCBD by______and ∠ADB≅∠CDB since corresponding parts of ≅ Δs are ≅, so BD is perpendicular to AC by theorem 3.8

Answer 1

1-HL
2-AAS
3-SAS
4-SSS
5-SAS

Answer 2

Yes this is all one hundred percent correct.

Answer 3

@Directrix @Hero could you double cheek

Answer 4

Uh, hold on.

Answer 5

@Preetha could you double cheek my answers :) plezz

Answer 6

@texaschic101 @e.mccormick could ya cheek my answers if ya could

Answer 7

SAS = Side Angle Side, stuff like that?

Answer 8

ASA is Angle Side Angle Congruency theorem
AAS is Angle Angle Side Congruency theorem
SSS is Side Side Side Congruency theorem

Answer 9

@heather040200
I'm just now reading this. Were the statements in the posted problem given or did you create them?

Answer 10

Right. @magbak Handle it then.

Answer 11

SAS is Side Angle Side Congruency theorem

Answer 12

HL is Hypotenuse LEG

Answer 13

the statements were given i just have to find if the blanks i have are AAS ASA HL SAS SSS i have what i think the are above

Answer 14

the picture was also given

Answer 15

I already told her that it is correct

Answer 16

@heather040200 Okay, good to know. I'm ready to check now.

Answer 17

@magbak there is nothing wrong with a second oppionion

Answer 18

Yes I know of course it is not wrong.

Answer 19

@heather040200 For #1, I got SAS. You put HL to which @magbak agreed.
So, I am asking both of you, how did you get HL for #1. The H in HL is for hypotenuse which indicates the presence of a right angle. I don't see any right angles or any reason to assume that there are right angles involved in #1.

Answer 20

She said that BD bisects and if it Bisects then 2 right angles are created when the angel bisectors intersect with the opposite side.

Answer 21

Looks like Side and Angle and Side to me.

Answer 22

@magbak Angle B is the angle bisected. There is no reason to assume <ABD and <DBC are right angles. Furthermore, IF they were right angles, then the hypotenuse in each case would be segment AD and segment DC, neither of which we know to be congruent. I am saying that #1 HL is a wrong answer.

Answer 23

@heather040200 For #2, I agree with AAS.

Answer 24

It is not trust me.