Hello again! Still working on my sister's geometry homework (it's complicated -- She's gotta work on literature exams, so I'm doing all of her geometry stuff. I finished geometry with nearly perfect grades a few years ago but I've forgotten quite a bit!) Without further ado, here's the question: [It's a 'fill-in-the-blank' type question. My answers will be underlined and in blue.]

7-11: Using the diagram below and the given information, complete the following statements by writing one of the following:

AAS ASA HL SAS SSS

7. Ifand bisects ∠ABC, then ΔABD≅≅ΔCBD bySAS

8. If ∠ADBCDB and A≅ ∠C, then ΔABD≅≅ΔCBD byASA

9. is an altitude and, then ΔABD≅≅ΔCBD bySSSThen ∠A.∠C because Corresponding parts of ≅ Δs are ≅.≅

10. If ∠ADBCDB and ┴ , then ΔABD≅ ∠≅ΔCBD byAAS

11. Ifand bisects , then ΔABD≅≅ΔCBD by.HL

And ∠ADBCDB since Corresponding parts of ≅ Δs are ≅, so ┴ by Theorem 3.8 [If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.]≅ ∠

I have a horrible feeling I got this abysmally wrong...

As always, any help or explanation would be appreciated!