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 BDC and Angle BCA = Angle BCD
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 = AB ÷ AC because triangle ABC is similar to triangle ABD
5. AB2 + BC2

Answer 1

Is it a true or false question??

Answer 2

4. AB2 = AC • AD 4. AB ÷ AD = AB ÷ AC because triangle ABC is similar to triangle ABD
5. AB2 + BC2 = AC • AD + AC • DC = AC (AD + DC) 5. Adding Statement 1 and Statement 2
6. AB2 + BC2 = AC2 6. AD + DC = AC

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

Answer 3

@Mrs.ambrose614 sorry, some of the problem got cut off. i need to know the justification

Answer 4

It's two

Answer 5

ok, thank u. can you check 3 more of my questions. I have them answered I just need them checked @Mrs.ambrose614