Question

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 @Hero

Answer 2

Can you help?

Answer 3

Hint:

look at this page

http://www.mathopenref.com/chordsintersecting.html

Answer 4

I'm still not understanding it

Answer 5

here's a circle

Answer 6

here are 2 chords that intersect in the circle

Answer 7

Okay I got that

Answer 8

the theorem says that if we label the pieces of the chords like this



then we can say

x*y = p*q

Answer 9

what this means in your case (and this problem) is that

PT * TR = QT * TS

Answer 10

Why is it x*y and p*q

Answer 11

basically the pieces of the chord multiply to the same value

Answer 12

that's what the intersecting chord theorem says

Answer 13

Oh okay

Answer 14

here is a page that has some examples

http://www.mathwarehouse.com/geometry/circle/product-segments-chords.php

Answer 15

Thanks