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

pt ts
-- = -- ; similar triangles i think, hence; pt*tr = qt*ts if i remember it right
tq tr

Answer 2

writing the proof tho, never was good at that part

Answer 3

i would rather do calculas then proofs :(
but thank you for help

Answer 4

lol, yeah, hope its useful :P

Answer 5

@happykiddo Would you state the theorem that is to be proved?
> Use geometric theorems to write a two-column proof.
Two-column proof of what?

Answer 6

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 7

@Hero please help i still dont understand

Answer 8

@Directrix @amistre64