Question

The figure below shows a circle with center O. Segment PQ is tangent to the circle at P and segment RQ is a tangent to the circle at R.



A flowchart proof with a few blank boxes shows that angle ROQ is congruent to angle POQ.



Which statement and reason is most appropriate for box 4?

Triangle OPQ is congruent to triangle ORQ by the side-angle-side triangle congruence theorem.

Triangle OPQ is similar to triangle ORQ by the side-side-side triangle similarity theorem.

Triangle OPQ is similar to triangle ORQ by the side-angle-side triangle similarity theorem.

Answer 1

Triangle OPQ is congruent to triangle ORQ by the hypotenuse-leg triangle congruence theorem.

Answer 2

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_19/image0074e8da980.jpg

Answer 3

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_19/image0064e8da980.jpg

Answer 4

Hi Pan!

Answer 5

May you drop a hint?

Answer 6

yes

Answer 7

..... well, pretty please, with a cherry on top? You're my favorite monkey! :)

Answer 8

OPR is 90

Answer 9

Which means the arc PR is 90?

Answer 10

hmm..

Answer 11

no

Answer 12

degrees and radians aren't the same

Answer 13

ok.... it's the first option, right?

Answer 14

Thanks!!!

Answer 15

sure

Answer 16

you have two scalene triangle

Answer 17

that are congruent

Answer 18

well yeh

Answer 19

look at this closely: POQ=ROQ=90= Right Triangle

Answer 20

:) Thanks! You're the best!