Question

Ben uses a compass and a straightedge to bisect angle PQR, as shown below:
https://learn.flvs.net/webdav/assessment_images/educator_lamath_v16/0110a_g4_q2.jpg
Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?

BQ = BS when ∠AQS ≅ BQS.
AQ = AS when ∠AQS ≅ BQS.
∠AQS ≅ BQS when AS = BS and AQ = BQ.
∠AQS ≅ BQS when AS = BQ and BS = AQ.

Answer 1

Can Someone help me out with this aswell thank you so much

Answer 2

Can someone please help me if it has to come with it i will send you a box of cereal in good condition worth 15-34 dollars and will send it to you if you can help me

Answer 3

Please upload the image

Answer 4

to it

Answer 5

will do!!

Answer 6

it is not letting me upload the image only the image address {:[

Answer 7

Could you take a screenshot of the image?

Answer 8

ohh yess i can attack a file XDD

Answer 9

ty

Answer 10

uh... is this even the same problem as you posted?

Answer 11

OOFERS

Answer 12

im sorry

Answer 13

Uh..

Answer 14

I still don't think that's the right graph

Answer 15

@Hero Alright, I leave this in your hands, I'ma get back to coding

Answer 16

it is i just checked

Answer 17

..?
I'm lost. That's it.

Answer 18

None of the angles mentioned in the question are in that graph though...

Answer 19

oh my Chainsaw

Answer 20

Okay, let me see if I can reproduce the given scenario.

Answer 21

i am offing myself i swear

Answer 22

That's the correct one. :D

Answer 23

Okay, very good.

Answer 24

thank you so much for being standup human beings and assisting me

Answer 25

Thank You

Answer 26

First off, allow me to post something which will help with reviewing this concept.

Answer 27

i had a substitute teacher as my main teacher when i was taught this and ig he didnt seem to care because he didnt seem to care at all

Answer 28

he is the reason why i am failing my class and now i realized that

Answer 29

he tought the 3rd step as the 2nd

Answer 30

taught************8

Answer 31

So these are the steps to bisect an angle. Observe that we are tasked with bisecting \(\angle ABC\) which is done by first drawing an arc through both sides of the angle. This creates two congruent segments:

Answer 32

yes ofc

Answer 33

So using the compass you place the point of the compass at vertex A and then extend the width of the compass to create segments AM and AN. So \(\overline{AM} \cong \overline{AN}\)

Answer 34

because they are the same right?

Answer 35

Now we shift the point of the compass to points M and N then create two intersecting arcs in the interior of the angle as follows:

Answer 36

The width of the compass is used to create the arcs have the same width therefore we know that \(\overline{MP} \cong \overline{NP}\)

Answer 37

So what we have here is two sets of congruent segments. But let me reveal more of what this creates. One moment.

Answer 38

ohhh so not just equal to??

Answer 39

please do

Answer 40

What we have now is two triangles that are congruent by SSS (Side-Side-Side) Postulate

Answer 41

Forgive my drawing. I know its not perfect. But I'm rushing here.

Answer 42

its fine thank you

Answer 43

So we have two congruent triangles
\(\triangle{AMP} \cong \triangle{ANP}\)

Answer 44

right cause Am and An are the same

Answer 45

Because remember we created the first two sets of congruent segments using the compass and arcs of the same width which were
\(\overline{AM} \cong \overline{AN}\) and \(\overline{NP} \cong \overline{MP}\) and it is obvious that \(\overline{AP}\) is congruent to itself

Answer 46

So by this same logic, you can figure out which answer is correct.

Answer 47

ohh

Answer 48

Remember, by rule of CPCTC, we can say that \(\angle{MAP} \cong \angle{NAP}\)

Answer 49

And from all this we can conclude that \(\overline{AP}\) bisects \(\angle{ABC}\)

Answer 50

it isnt supposed to start out with three lines??

Answer 51

its the same type of question as the one listed up above?

Answer 52

I wonder what you are confused about.

Answer 53

i am confused because starting off that problem does not contain the third line

Answer 54

in the middle

Answer 55

The third line is not necessary, but I used it here for demonstration purposes to shew you the justification for why the angles are congruent. It would help you understand if you were familiar with triangle congruency theorems.

Answer 56

i used to be i completely forgot about that because i had another math class aswell and i had to catch up on my credits in order to graduated

Answer 57

I take that back. The third angle is necessary. It's the last step in the process.

Answer 58

ohhh

Answer 59

to graduate

Answer 60

The third segment is necessary*

Answer 61

yes

Answer 62

please

Answer 63

please

Answer 64

Because we need to conclude that \(\angle{MAP} \cong \angle{NAP}\)

Answer 65

oh

Answer 66

so then no

Answer 67

The explanation is complete, but your understanding doesn't seem to be.

Answer 68

The given problem only gives you a part of the proof, but not the whole thing. I explained the entirety of it. It should be enough for you to be able to reason which option is correct.

Answer 69

ohhhh

Answer 70

right

Answer 71

ohh

Answer 72

soo i just have to plug in the numbers

Answer 73

soo i just have to plug in the numbers

Answer 74

I don't think I'll be able to help you any further.

Answer 75

thank you for attemping

Answer 76

it means alot not alot of people do

Answer 77

bqs is equal or greater to aqs??

Answer 78

aqs is less than or equal to bqs when as=bs and aq = bq

Answer 79

is this it??

Answer 80

is that the answer

Answer 81

angle aqs

Answer 82

with the angle sign

Answer 83

"less than or equal to" is not even part of the options which means you are not familiar with the symbols

Answer 84

yeah it is

Answer 85

greater than equal too?? if its not less than

Answer 86

I assure you it is not.

Answer 87

It is neither greater than equal or less than equal. You are mis-interpreting the symbols

Answer 88

i was talking about my equation

Answer 89

What equation?

Answer 90

This is constructions using compass and straightedge.

Answer 91

Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?

BQ = BS when ∠AQS ≅ BQS.
AQ = AS when ∠AQS ≅ BQS.
∠AQS ≅ BQS when AS = BS and AQ = BQ.
∠AQS ≅ BQS when AS = BQ and BS = AQ.

Answer 92

The symbol = means EQUAL
\(\angle{AQS}\) means ANGLE AQS
\(\cong\) means CONGRUENT

Answer 93

really??

Answer 94

Yes, really

Answer 95

i thought that meant less than or greater too??

Answer 96

OOOFFFFFF

Answer 97

AHHHHHHHHHHHHHHHHHHH

Answer 98

https://en.wikipedia.org/wiki/Congruence_(geometry)#Congruence_of_triangles

Answer 99

WAIT BUT IT IS THE RIGHT ANSWER YES

Answer 100

It's one thing to be stuck on something when attempting to solve a problem. It's another thing to be unfamiliar with no part of the problem at all. It is difficult to help someone if they have not understood any of the basics.

Answer 101

I don't even know which answer you are proposing to be correct.

Answer 102

MAP is congruent to NAP

Answer 103

Which answer are you proposing to be correct?

Answer 104

It's probably best to copy and paste which one you think is correct.

Answer 105

THE THIRD OPTION

Answer 106

THE THIRD OPTION

Answer 107

the third answer******

Answer 108

Which statement best explains why Ben uses the same width to draw arcs from A and B which intersect at S?

BQ = BS when ∠AQS ≅ BQS.
AQ = AS when ∠AQS ≅ BQS.
∠AQS ≅ BQS when AS = BS and AQ = BQ.
∠AQS ≅ BQS when AS = BQ and BS = AQ.

Answer 109

The third option is correct, but you need a ton of tutoring.

Answer 110

please just tell me the answer if im wrong i spent literally 7 hours on this test while multitasking

Answer 111

oh

Answer 112

thank you

Answer 113

i know

Answer 114

dont want to make my mom pay for it and theres no way i can work while catching up on classes and doing my regular work while chasing my dreams of making it big in the music buisness even though i definitely can because of the fact i have broken down the industry and know exactly ehat i have to do in order to make it

Answer 115

and im so close

Answer 116

imagine dragons' manager and writer is keeping tabs on me because my vision is different

Answer 117

and big sean some rappers

Answer 118

Don't make that mistake. There's nothing wrong with your mom investing in your success.

Answer 119

If she's offering to help, let her help.

Answer 120

i would but shes in debt already and i honestly am trying to help her by eventually making it and paying it off

Answer 121

and im already a senior about to graduate and every little thing counts

Answer 122

i was the kid that they passed just cause and now a teacher who doesnt like me because of circumstances i cant control failed me even though i had time to make it up and failed me

Answer 123

i didnt attend everyday because my dad almost died and i got really depressed and almost caused my self to die

Answer 124

and i was going to night school even though i was really tired

Answer 125

but at the same time i learned something no human has ever known

Answer 126

and it has to do with the science of your mind and how and why we as humans have a soul

Answer 127

and i discovered it all

Answer 128

i knew way before one side of the story but in order to keep balanced and increase i had to discover the other side of the story

Answer 129

if it makes since

Answer 130

and i have been defying physics and anatomy by me just living

Answer 131

because i was supposed to die and there is no way that any other person besides a select few would be able to survive

Answer 132

and i am

Answer 133

2 years have gone by

Answer 134

wow

Answer 135

it sounds like this is coming completely out of an anime; but its true

Answer 136

and honestly

Answer 137

would never change my life for another persons;

Answer 138

besides my owns

Answer 139

other life path

Answer 140

path(s)

Answer 141

you might think im crazy but

Answer 142

its not

Answer 143

that really

Answer 144

honestly you can criticize me all you want

Answer 145

idc anymore

Answer 146

Nope, you're just a young adult trying to figure out life. Nothing wrong with that.

Answer 147

Thank You

Answer 148

thanks for listening loll

Answer 149

to the 4 of you

Answer 150

3 of you

Answer 151

No problem. Just keep studying and learning.

Answer 152

it meat alot

Answer 153

No problem, it's the least I could do. :)

Answer 154

ofc i never do stop

Answer 155

even when i couldve died

Answer 156

that is in our nature and we are genetically coded to do that

Answer 157

every decision you make has a plethora of reactions that can occur

Answer 158

everything you manifest you receive back

Answer 159

depending on how bad you want it

Answer 160

there is more out there; more than meets the eyes

Answer 161

and wow

Answer 162

my dog almost died because of a good intention ive had

Answer 163

just minutes ago

Answer 164

i put a protection crystal on her neck and she almost choked on it

Answer 165

even though i put the same object when it was just me and her alone and nothing happened

Answer 166

she was sleeping with my mom which proves that they are socailly intelligent and remember the difference in the way we interact with them

Answer 167

or in the difference in how one person interacts with the dog compared to another

Answer 168

the little differences even how you sleep

Answer 169

so the dog can adjust to body position

Answer 170

depending on the dogs capacity overall not just mental

Answer 171

even when taught the same command depending on the person if the dog has the capacity to and if it remembers it depending on how much energy you oth have experienced with eachother

Answer 172

even when taught the same command depending on the person if the dog has the capacity to and if it remembers it depending on how much energy you oth have experienced with eachother

Answer 173

both

Answer 174

it will remember

Answer 175

gathered all of that just now

Answer 176

our world is going to Chicken because of those in powers agendas severely differ than ours

Answer 177

s

Answer 178

and they know alot that we dont

Answer 179

and have constantly been testing us by dropping information at times when the overall majority of us werent expecting

Answer 180

to not only tell but to enact precisely as how was presented and given to us

Answer 181

it

Answer 182

and honesly there is a chance how we can save this planet

Answer 183

yet it would take all of us to unite together to stop what is happening to us

Answer 184

hopefully i impacted someones understanding of life or the world positively

Answer 185

even though

Answer 186

most of the time it doesnt happen that way

Answer 187

f trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
[hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]

Answer 188

can someone help me solve this

Answer 189

ik no one will

Answer 190

Please ask that in a new question