Question

The figure below shows a circle with two chords JM and KL intersecting at point S.

The figure shows a circle with two chords JM and KL intersecting at point S.

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

Segment KS is 1.8 cm, segment SM is 2.5 cm, segment JS is 4.5 cm, and segment SL is 1.2 cm.

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

Answer 1

@ganeshie8 how do i write a two column proof for this?

Answer 2

figure ?

Answer 3

sorry

Answer 4

its okay :) jumped to circles is it...
there is a theorem, intersecting chords or somthing... do u remember ? we can use that in two column proof... can u refer ur notes and see if u can find it ? :)

Answer 5

one sec :)

Answer 6

oki

Answer 7

http://www.mathopenref.com/chordsintersecting.html like this?

Answer 8

yes ! wat it says btw ?

Answer 9

A×B is always equal to C×D no matter where the chords are.

Answer 10

would it be something like this:
1.Segment KS is 1.8 cm, segment SM is 2.5 cm, segment JS is 4.5 cm, and segment SL is 1.2 cm
-Given
2.JS x SM = KS x SL
-Intersecting Chords Theorem
3.5(2.5)=1.8(1.2)
-Given
4.11.25 ≠ 2.16
JS x SM ≠ KS x SL
-Grace's measurements are incorrect

Answer 11

Yes ! so in our problem it must be,

JS x SM = KS x KL

Answer 12

wow ! thats brilliant !!!!

Answer 13

is it right?

Answer 14

that looks neat, good work :)

Answer 15

yes 100% right

Answer 16

AWESOME! one last problem i promise? :)

Answer 17

okay lol u dont hav to promise :)