isn't she just going to fail her geometry tests?
7) is correct
8) is incorrectSpoiler:
9) is incorrectSpoiler:
10) is correct
11) is incorrectSpoiler:
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. If ≅ and bisects ∠ABC, then ΔABD ≅ ΔCBD by SAS
8. If ∠ADB ≅ ∠CDB and A ≅ C, then ΔABD ≅ ΔCBD by ASA
9. is an altitude and ≅ , then ΔABD ≅ ΔCBD by SSS. Then ∠A ≅ ∠C because Corresponding parts of ≅ Δs are ≅.
10. If ∠ADB ≅ ∠CDB and ┴ , then ΔABD ≅ ΔCBD by AAS
11. If ≅ and bisects , then ΔABD ≅ ΔCBD by HL.
And ∠ADB ≅ ∠CDB 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!
Anyway, if you are alright with helping me, I'll keep all my questions in one thread. I'm still pretty good at plug-and-chug Geometry but I'm bad at proof stuff. So that's what I'll need help with but I promise I will always make an attempt to answer before requesting help/double-checking. So here's another proof question. Again, fill-in-the-blank. My answers will be in blue.
Finish the proof that ≅ by filling in the missing statements and reasons.
Statements Reasons 1. ≅ 1. Given 2. ∠BAC ≅ ∠DAE 2. Reflexive [because ∠A = ∠A right?] 3. ≅ 3. Given 4. ΔEAD ≅ ΔCAB 4. SAS 5. ≅ 5. Corresponding parts of ≅ Δs are ≅.
**Statement 1 is a question/blank -- I can't make overlined text blue.**
How was that? Thank you as always.
Alright I only have two or three more proofs to do then I should be able to go a good long while without any assistance. Thanks for checking over my work, I'm just not too confident since I'm rushing through this.
Here we go again!
Prove that ≅ (Not a fill in the blank, gotta come up with all the reasons and statements)
Statements Reasons ∠ABC ≅ ∠BAD Given ≅ Reflexive Property of segment congruence ∠BAC ≅ ∠ABD Given ΔBAC ≅ ΔABD ASA ≅ Corresponding parts of ≅ Δs are ≅
Oh hey, that was pretty easy. I guess I didn't need help with that after all
Howdy, this should be the last proof I'll need help with for a while Fill-in-the-blank, my answers are in blue.
Based on the diagram, finish the following proof that ≅
Statements Reasons 1. ┴ 1. Given 2. ∠AEB and ∠CEB are right angles 2. Given 3. ΔAEB and ΔCEB are right Δs 3. Definition of Right triangles 4. ≅ 4. Given 5. ≅ 5. Reflexive Property of Segment Congruence 6. ΔABE ≅ ΔCBE 6. Hypotenuse-Leg Congruence Theorem 7. ≅ 7. Corresponding parts of ≅ Δs are ≅ 8. ┴ [I'm kinda confused by this, but ┴ has already been stated.] 8. Definition of Perpendicular lines 9. ΔAED and ΔCED are right Δs 9. Definition of a Right Triangle 10. ≅ 10. Reflexive Property of Segment Congruence 11. ΔAEB≅ ΔCEB 11. Leg-Leg Congruence Theorem 12. ≅
12. Corresponding parts of ≅ Δs are ≅
I'm not completely sure I did that right....