Question

https://static.k12.com/nextgen_media/assets/8074849-NG_GMT_A_02_U01_Quiz_DP024_102_002_prompt.jpg

Which lines are parallel in the triangular prism?

Select each correct answer.

A. CD←→ and BA←→

B.​ AD←→ ​ and AE←→

C. AD←→ and BC←→

D. DE←→ and ​ BA←→ ​

Answer 1

@Vocaloid

Answer 2

well as usual let's go through the answer choices one by one - are CD and BA parallel?

Answer 3

yes

Answer 4

good so let's mark the first choice as a possible solution

what about AD and AE?

Answer 5

no

Answer 6

good, let's keep going

AD and BC?

Answer 7

yes

Answer 8

good, one more choice
DE + BA?

Answer 9

nope

Answer 10

good so options 1 and 3 are your solution

Answer 11

https://static.k12.com/nextgen_media/assets/1541442-IM1_141006_050213.jpg

The figure shown is a rectangular prism.

Which edges are parallel to HK¯¯¯¯¯¯ ?



Select each correct answer.


A. YD¯¯¯¯¯

B. HA¯¯¯¯¯¯

C. PB¯¯¯¯¯

D. BM¯¯¯¯¯¯

E. AM¯¯¯¯¯¯

Answer 12

any ideas? i've marked all the parallel segments in blue

Answer 13

hm? try looking at the diagram i posted, the only possibilities are PB, AM, and YD

Answer 14

OH I'M SORRY that's wrong from another question on my quiz

Answer 15

YD, PB, and HA

Answer 16

it's asking for parallel segments not perpendicular

Answer 17

BM, AM, and HA

Answer 18

notice how HA is not included in the segments I circled

PB, AM, and YD are the only possibilities

Answer 19

PB, AM, and YD are parallel

Answer 20

yes

Answer 21

well let's take the original statements and see what we can conclude

AK is perp. to KB
AK is parallel to EF

according to our theorem from before, EF must be perpendicular to KB

AK is parallel to CB

which means AK CB and EF are parallel and they're all perpendicular to KB

Answer 22

that being said it says nothing about DJM so we can't conclude that <JFB is 90

Answer 23

thoughts on statement 2? are CB and KB perpendicular? try to review what I have said so far

Answer 24

KB←→⊥CB←→
m∠JFB=90°

Answer 25

I believe those are the answers cause i looked at it and i've seen it could be true

Answer 26

though i might be wrong

Answer 27

refer back to my statement\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
that being said it says nothing about DJM so we can't conclude that <JFB is 90
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 28

so KB being perp to CB is the only solution

Answer 29

KB and CB THAT'S IT cause i thought KB//DM was 2

Answer 30

cause if you look at it, they are on different lines and they will never touch

Answer 31

keep in mind it just "looks" that way but there's no formal proof, it could be like 1 degree off and they wouldn't be parallel

Answer 32

ok but do they go sideways for eternity ?

Answer 33

yes but that doesn't mean they're parallel

if one is drawn at a 180 degree angle but the other is drawn at a 179 degree angle they look parallel to the naked eye but they will eventually intersect.

Answer 34

they would need to prove that they are parallel by parallel angle marks or by showing that the corresponding angles are equal

Answer 35

so therefore KB to CB is the only solution ?

Answer 36

none of the others ?

Answer 37

yes

Answer 38

wait

Answer 39

derp i'm an idiot <JFB is equal to 90 since KB and EF are perpendicular so the first and second choices only

Answer 40

was looking a t the other angle

Answer 41

so both KB and CB and KB//DM are both or just KB and CB ?

Answer 42

<JFB is equal to 90
KB and CB are perpendicular

Answer 43

ok just that then final answer?

Answer 44

yes

Answer 45

well let's go one by one

we don't know anything about QR so we don't know whether it's parallel or perp. to ST so the first statement is inconclusive

Answer 46

first is Cannot Be Determined

Answer 47

second is perpendicular correct ?

Answer 48

3rd and 4th is cannot be determined

Answer 49

good that's what i got too

Answer 50

correct thank you Vocaloid for all your help yesterday and today i really appreciate it everytime

Answer 51

yeah np

Answer 52

you really help me out in situations even though when you don't have much time most of the time