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#1 2017-08-15 11:05:20

DarkTangent
Member
Registered: 2017-07-03
Posts: 20

Geometry-Transformations

Quadrilateral

has vertices with coordinates
and
. When the figure is rotated clockwise
around point
and then reflected across the line
, what are the coordinates of the final image of point
? Express your answer as an ordered pair.

I am stuck and don't know where to begin. Please help!

Thanks,

DarkTangent


All our dreams can come true if we have the courage to pursue them - Walt Disney

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#2 2017-08-15 19:11:32

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,168

Re: Geometry-Transformations

hi DarkTangent

First draw a diagram.  Then make use of some tracing paper.  In the UK in GCSE exams, tracing paper is allowed.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2017-08-15 21:02:24

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Geometry-Transformations

Last edited by thickhead (2017-08-15 21:36:15)


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#4 2017-08-16 13:01:37

DarkTangent
Member
Registered: 2017-07-03
Posts: 20

Re: Geometry-Transformations

That answer is not correct. The method looked right though.


All our dreams can come true if we have the courage to pursue them - Walt Disney

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#5 2017-08-16 19:43:42

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,168

Re: Geometry-Transformations

hi Dark Tangent

I get this:

yUKxOOd.gif

Q (2,7) rotates to Q' ((0,5) and then reflects to (2,5)

thickhead wrote:

So the coordinates of  various points will be  N(0,-4)  ,P( 2,-4)  and Q(2,0).

Is this correct?  The rotation is 270 clockwise.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#6 2017-08-17 03:40:24

DarkTangent
Member
Registered: 2017-07-03
Posts: 20

Re: Geometry-Transformations

Yes! Thanks so much for your help!


All our dreams can come true if we have the courage to pursue them - Walt Disney

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#7 2017-08-17 07:01:44

DarkTangent
Member
Registered: 2017-07-03
Posts: 20

Re: Geometry-Transformations

Can you please also help me with this problem too?

Segment

has endpoints at
and
. Segment
is obtained by translating
by
units to the right and
units down. Find the midpoint of segment
. Express your answer as
with
and
integers.


All our dreams can come true if we have the courage to pursue them - Walt Disney

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#8 2017-08-17 07:09:31

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,130
Website

Re: Geometry-Transformations

You can either find the midpoint of
and perform the translation, or translate
and then determine the midpoint.

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#9 2017-08-21 04:59:30

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Geometry-Transformations

I overlooked "clockwise". My answer is for counterclockwise 270 degrees rotation.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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