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!
Wow, I did poorly on that! Thank you. And, no she won't fail any tests (other than the SAT maybe :P). She's homeschooled, we're doing a correspondence course (sent through the mail). She's getting extremely close to her deadline, she has to finish American Literature, British Literature, World History, French I & II and Geometry before May or she'll fail (which would be a big waste of money). It's not a situation I'm proud of but things are the way they are. Believe me, I don't want to do her homework Just gotta power through this so I can get back to learning JavaScript
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....