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.

Answer 1

what do u think is the answer?

Answer 2

i think is b

Answer 3

that's not the right one. first of all, those are not chords. simply because a chord is a segment whose BOTH end points lie on the circle. now look again at the diag. OP and OR are actually the radii of the circle.

Answer 4

ok one sec

Answer 5

what about c i mean angles are congruent

Answer 6

yup! that's the right one!

Answer 7

sweet thank you!

Answer 8

can u tell me, what will come in box 1 and 3 ?

Answer 9

im not sure

Answer 10

how can u prove those 2 triangles to be congruent? u already have one factor out of 3 - the right angles. what will be the remaining two?

Answer 11

by the angles or measurements
can you help me with a like 2 more questions?

Answer 12

sure, i'll try.

Answer 13

Look at the figure and the conditional statement based on it.



If angle AXO is 23° and angle BXO is 44°, then angle AOB is 134°.

Samantha wrote a two column proof as shown.

Answer 14

Which statement describes the error she made in the proof?

She made an error in statement 5. Measure of angle XOB = 2 x 23° + 44° = 90°.

She wrote an incorrect reason for statement 6. She should have written the sum of angles around a point is 360°.

She wrote an incorrect reason for statement 5. She should have written the sum of the base angles of an isosceles triangle is 90°.

She made an error in statement 5. Measure of angle XOA = 90° + 44° = 134°.

Answer 15

wrong reason for statement 6.

Answer 16

thanks!

Answer 17

i think intersecting lines postulate.

Answer 18

THANK YOU!
do you think this one is c?

Answer 19

actually that makes no sense i think is d

Answer 20

yea, it is d.

Answer 21

thanks :)

Answer 22

np!