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Mathematics 23 Online
OpenStudy (anonymous):

In the image, point A is the center of the circle. Which two line segments must be equal in length? AH¯¯¯¯¯ and BC¯¯¯¯¯ HI¯¯¯¯ and BC¯¯¯¯¯ EF¯¯¯¯¯ and HI¯¯¯¯ EF¯¯¯¯¯ and AI¯¯¯¯ Done

OpenStudy (mathstudent55):

Do you have a figure?

OpenStudy (anonymous):

yes but how to show do i cop and past it to this

OpenStudy (amorfide):

if the image is on a webpage, right click it, save image as, save it somewhere click on thiis website, click attach file, post the image

OpenStudy (anonymous):

OpenStudy (mathstudent55):

In a circle, all radii are congruent.

OpenStudy (mathstudent55):

Also, in a circle, all diameters are congruent.

OpenStudy (mathstudent55):

Look at all your choices. If one choice has two radii, then they must be congruent. If a choice has two diameters, then they must be congruent.

OpenStudy (anonymous):

so its b

OpenStudy (amorfide):

that would be incorrect you are trying to compare a diameter HI is the diameter as it touches the edges of the circle, but also passes throught he centre

OpenStudy (amorfide):

however BC does not cross the centre

OpenStudy (anonymous):

o right

OpenStudy (anonymous):

ok so if they cross the center that's the answer

OpenStudy (mathstudent55):

HI is a diameter. BC is not a diameter. HI and BC are not congruent. Answer is not b.

OpenStudy (amorfide):

not necessarily if you find 2 lines that go from one side, through the centre to the other side then that would be the answer however the circle also has radius the radius starts at the centre and touches the edge of the circle so if you find 2 lines that look like that, then that could also be the answer

OpenStudy (amorfide):

for example AD and AH are both a line that represent the radius, that means they are congruent as they are the same, therefore they are equal length

OpenStudy (anonymous):

i think i got it c look like it crosses

OpenStudy (amorfide):

well done :)

OpenStudy (mathstudent55):

|dw:1429489234891:dw|

OpenStudy (anonymous):

thanks man i fill a little way better i was probably over thinking it as always

OpenStudy (mathstudent55):

There are 5 radii shown. They are all congruent to each other. Notice that none of the choices have two of the radii. |dw:1429489343654:dw|

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