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Is the pentagon ABCDE whose point A is on the circle a regular pentago

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Joined: 04 Jul 2017
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Location: India
Concentration: Marketing, General Management
GPA: 1
WE: Analyst (Consulting)
Is the pentagon ABCDE whose point A is on the circle a regular pentago [#permalink]

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New post 26 Aug 2017, 09:43
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Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

Source: Mitul Gada's Class Handout.
OA: I don't have the OA as its not mentioned, part of Home Work.

Kudos [?]: 13 [0], given: 60

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Joined: 02 Aug 2009
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Kudos [?]: 5472 [0], given: 112

Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago [#permalink]

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New post 26 Aug 2017, 09:49
aashishagarwal2 wrote:
Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

Source: Mitul Gada's Class Handout.
OA: I don't have the OA as its not mentioned, part of Home Work.



Hi..

statement I just tells you that all the points are on the circle..
statement II tells us two angles are 108 but the points other than A could be anywhere..

combined..
for a regular pentagon, all angles should be 108..
we do not know about the sides too, if they are equal or not..

various combinations can be made
insuff

E
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Kudos [?]: 5472 [0], given: 112

Manager
Manager
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Joined: 04 Jul 2017
Posts: 59

Kudos [?]: 13 [0], given: 60

Location: India
Concentration: Marketing, General Management
GPA: 1
WE: Analyst (Consulting)
Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago [#permalink]

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New post 26 Aug 2017, 12:57
chetan2u wrote:
aashishagarwal2 wrote:
Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

Source: Mitul Gada's Class Handout.
OA: I don't have the OA as its not mentioned, part of Home Work.



Hi..

statement I just tells you that all the points are on the circle..
statement II tells us two angles are 108 but the points other than A could be anywhere..

combined..
for a regular pentagon, all angles should be 108..
we do not know about the sides too, if they are equal or not..

various combinations can be made
insuff

E


I may be wrong. But Stmt I says that points of pentagon (it's vertices) are equidistant from the center. Can that mean its sides are equal and/or something?

Kudos [?]: 13 [0], given: 60

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Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago [#permalink]

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New post 26 Aug 2017, 13:18
aashishagarwal2 wrote:
chetan2u wrote:
aashishagarwal2 wrote:
Is the pentagon ABCDE whose point A is on the circle a regular pentagon?

Stmt 1: All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.
Stmt 2: Angle ABC is equal to Angle CDE is equal to 108 degrees.

Source: Mitul Gada's Class Handout.
OA: I don't have the OA as its not mentioned, part of Home Work.



Hi..

statement I just tells you that all the points are on the circle..
statement II tells us two angles are 108 but the points other than A could be anywhere..

combined..
for a regular pentagon, all angles should be 108..
we do not know about the sides too, if they are equal or not..

various combinations can be made
insuff

E


I may be wrong. But Stmt I says that points of pentagon (it's vertices) are equidistant from the center. Can that mean its sides are equal and/or something?


statement 1 : All the points on the pentagon A, B, C, D, E are equidistant from the center of the circle.

As given A lies on circumference of circle and all the points are equidistant from circle => that all other points lie on circumference of circle as well.
That is the given pentagon is Cyclic pentagon (`Can be regular or irregular pentagon)

Kudos [?]: 59 [0], given: 59

Re: Is the pentagon ABCDE whose point A is on the circle a regular pentago   [#permalink] 26 Aug 2017, 13:18
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