Question

CIRCLE THEOREMS:
Check if my answers are correct and answer #3 & #4 please?

You may want to choose on:
Arc-Chord Equal T., Radius Bisects Chord T., Diameter Perpendicular to Chord T., Chord Bisects Arc T. if possible. :)
Please.
[See attachment]

Answer 1

Its right but the way u answer it not right make it more appropriate

Answer 2

hmm?

Answer 3

sorry for late reply my ipad died , for 4 u can say congruent triangle

Answer 4

oh, congruent triangles theorem?

Answer 5

yes u can use that too or u can use similar triangles that makes life easier and saves u time in exam

Answer 6

I don't know what this means:
You may want to choose on: Arc-Chord Equal T., Radius Bisects Chord T., Diameter Perpendicular to Chord T., Chord Bisects Arc T. if possible.
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Here is how I know them:

1. In the same circle or in congruent circles, congruent chords have congruent arcs.

2. If the diameter of a circle is perpendicular to a chord of the same circle, it bisects the chord and its arcs.

3. In a circle, a radius (diameter) that bisects a chord is perpendicular to the chord.

4. Two minor arcs in the same circle or in congruent circles are congruent if and only if their central angles are congruent.

@stupidinmath See what you think.

Answer 7

that's so clear. thank you! :D

Answer 8

@Directrix , at #4.. can it be Chord Bisects Arc Theorem?

Answer 9

>> can it be Chord Bisects Arc Theorem?

What does that theorem say? See, I had to learn the statements of the theorems and I don't know the names of the theorems.

Answer 10

If a chord of a circle bisects a 2nd chord and its arc, then the 1st chord is a diameter and is perpendicular to the 2nd chord :)

Answer 11

But, the question in number four talks about two congruent arcs and the central angles that cut them off.

I would go with a definition of central angle measure if that is one of your options.

This --> If a chord of a circle bisects a 2nd chord and its arc, then the 1st chord is a diameter and is perpendicular to the 2nd chord --> is not correct, I think.

Because it talks about perpendiculars and no perpendiculars are given on #4, just congruent arcs and therefore congruent central angles. @stupidinmath

Answer 12

Was this stuff here given as the options from which to choose:

You may want to choose on: Arc-Chord Equal T., Radius Bisects Chord T., Diameter Perpendicular to Chord T., Chord Bisects Arc T. if possible.

Answer 13

Oh, I see.
Its not an option but its what the lesson written before these questions so I thought it might be connected.

Answer 14

That is a good thing to consider.

That theorem popped up as the answer to number 2 above.

Answer 15

Oh alright.. I'll go with definition of central angle measure. thanks :)

Answer 16

Well, I would recast my answers to fit these options as follows:

1. Arc Chord Theorem
2. Diameter Perpendicular to Chord Theorem
3. Radius Bisects a Chord Theorem


I don't see Chord Bisects Arc T. as the reason for #4.

Look and see if you wrote the statement correctly.

I'll look for a statement of the Chord Bisects Arc Theorem. Maybe it says something about central angles.

Answer 17

I saw "Arc-Central Angle Equal Theorem" which suits exactly to what you say. Got it all already. Thank you again :)

Answer 18

Alrighty, then.
That is good news.