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]
Its right but the way u answer it not right make it more appropriate
hmm?
sorry for late reply my ipad died , for 4 u can say congruent triangle
oh, congruent triangles theorem?
yes u can use that too or u can use similar triangles that makes life easier and saves u time in exam
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. ------------------------ 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.
that's so clear. thank you! :D
@Directrix , at #4.. can it be Chord Bisects Arc Theorem?
>> 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.
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 :)
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
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.
Oh, I see. Its not an option but its what the lesson written before these questions so I thought it might be connected.
That is a good thing to consider. That theorem popped up as the answer to number 2 above.
Oh alright.. I'll go with definition of central angle measure. thanks :)
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.
I saw "Arc-Central Angle Equal Theorem" which suits exactly to what you say. Got it all already. Thank you again :)
Alrighty, then. That is good news.
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