Question

The figure below shows a circle with two chords PR and QS intersecting at point T.



Amanda took the measurements of the line segments and wrote them down as shown.

Segment PT is 2.8 cm, segment TR is 2.5 cm, segment QT is 1.6 cm, and segment TS is 3.5 cm.

Describe the method you use to prove that Amanda took incorrect measurements. Use geometric theorems to write a two-column proof.

Answer 1

@jim_thompson5910

Answer 2

final question!!!!!!!!!!!!!!!!

Answer 3

@jim_thompson5910

Answer 4

would you agree?
Theorem: If two chords intersect inside a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

The given information violates this theorem:

PT*TR = QT*TS
but
2.8 * 2.5 is not equal to 1.6 * 3.5

Answer 5

not sure how to put it into a two column proof though

Answer 6

@jim_thompson5910

Answer 7

you are correct, you're using the intersecting chords theorem

Answer 8

so you would start with this theorem, use substitution, then show there's a contradiction

Answer 9

ok thx

Answer 10

just wondering..why aren't you at 100 smart score yet

Answer 11

no clue, but I don't mind it really

Answer 12

dont' really understand how it works and I don't really know what the medals are for tbh

Answer 13

got a 95 btw lol i learned a lot more from taking this than i did from learning the lessons

Answer 14

thats great, glad you did

Answer 15

thanks again, adios