Question

Segment GL is 3.7 cm, segment LF is 1.2 cm, segment DL is 1.8 cm, and segment LE is 2.6 cm.


Why are the measurements incorrect?

Answer 1

the product of intercepts if intersecting chards are equal

DL x LE = 1.8 x 2.6 =4.68
GL x LF = 3.7 x 1.2 = 4.44

Answer 2

how could i show that in a proof?

Answer 3

the numeric proof is above

for a theoretical proof

join GD and FE

you now have 2 triangles in which you will prove are similar

angle D = angle F angles in the same segment

Angle G = ange E as above

equal angles at L vertically opposite

therefore the triangles are similar

then using the ratios of corresponding sides in similar triangles

\[\frac{DL}{FL} = \frac{GL}{EL}\]

or EL x DL = FL x GL

Answer 4

Would i use transitive property of equality when writing EL x DL = FL x GL? and also when multiplying would my reason be the commutative property of multiplication?

Answer 5

this seems really complex for a very simple numeric problem... I would state the circle geometry property about chords... and then just show it