Question

Look at the right triangle ABC:

Right triangle ABC has a right angle at B. Segment BD meets segment AC at a right angle.

A student made the following chart to prove that AB2 + BC2 = AC2:


Statement Justification
1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BCD and Angle BCA = Angle DBC
2. BC2 = AC • DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC
3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle ADB and Angle BAC = Angle BAD
4. AB2 = AC • AD 4. AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ADB
5. AB2 + BC2

Answer 1

@duckerstar146 @mathstudent55 @3mar

Answer 2

Well, I am here.
How could I help you?

Answer 3

I think its D, but im really bad at math

Answer 4

You will be very good at maths In Sha' Allah!
Where are you stuck?

Answer 5

the whole thing

Answer 6

are these choices you should pick one of them?

Answer 7

yes

Answer 8

That is good!

What about A?
Do you think that is correct?

Answer 9

it sounds correct to me

Answer 10

How is that?

"Angle ABC = Angle BCD"
Does it make sense?

Answer 11

i am so sorry, here are the actual answers.

Which justification is incorrect?
Justification 4
Justification 1
Justification 2
Justification 3

Answer 12

@3mar

Answer 13

What are these?
Justification 4
Justification 1
Justification 2
Justification 3

Answer 14

they are the answer choices for the question. I didnt know that they got cut out. The numbers above are the statements. I need to know which is incorrect

Answer 15

@jhonyy9 @mathstudent55

Answer 16

I really need help

Answer 17

angle BCD not equal angle ABC - yes ?

Answer 18

and same angle BCA not equal angle DBC - yes ?

Answer 19

uhh, yeah

Answer 20

so the first justification is false sure

Answer 21

So its A?

Answer 22

justification 4?

Answer 23

i think will be more easy than you try prove them step by step

Answer 24

what? i dont understand

Answer 25

justification 4 how you think can being true ?

please check this image


AB +AD = AC + AB this is true ?

Answer 26

AB +AD = AC +AB subtract from both sides AB and you will get

AD = AC please see this posted image

how you think AD is equal AC ?

Answer 27

Krissy please collaborate i like help you understanding the way - ok. ?

Answer 28

sorry but than you dont like collaborate i not can help you

bye bye

Answer 29

im sorry, i was helping my sister with her homework, isnt AD congruent to AC @jhonyy9

Answer 30

yes right so this mean that justification 4 is false - yes ?

Answer 31

the 3rd justification can being true ?

Answer 32

i think so, because it doesnt look congruent to me

Answer 33

yes sure

please check the 3rd justification

Answer 34

umm, im not sure. Im trying to look for the one thats incorrect

Answer 35

please try the 3rd

angle ABC is congruent angle ADB ?

Answer 36

than yes so why ?

Answer 37

because its similar??

Answer 38

Krissy angle ABC is a right angle - yes ?
so angle ADB what angle is ?

Answer 39

Krissy

angle ADB is a right angle too

do you see it please ?

Answer 40

yes i see it

Answer 41

so and the second part of justification 3 how is ?

Answer 42

im not sure, i just get really confused when it comes to geometry and angles

Answer 43

angle BAC = angle BAD - this is true or false ?

Answer 44

i think its true

Answer 45

Krissy please think little

angle BAC mean angle A

angle BAD mean angle A so how are them ?

Answer 46

im sorry, but i really dont know. I keep getting confused, and its my last question, i already failed this once

Answer 47

bc. every two angles mean angle A so these are congruent angles

from these result that the justification 3rd is true sure

ok. ?

Answer 48

hope helped

was my pleasure

good luck

bye bye

Answer 49

wait, isnt the answer supposed to be which one is incorrect?

Answer 50

@jhonyy9