Math Is Fun Forum

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

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,634

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

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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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Geometry-Transformations

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

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{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.}

DarkTangent

Member

Registered: 2017-07-03

Posts: 20

Re: Geometry-Transformations

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

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,634

Re: Geometry-Transformations

hi Dark Tangent

I get this:

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

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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

DarkTangent

Member

Registered: 2017-07-03

Posts: 20

Re: Geometry-Transformations

Yes! Thanks so much for your help!

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

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.

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

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,438

Website

Re: Geometry-Transformations

You can either find the midpoint of

and perform the translation, or translate

and then determine the midpoint.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Geometry-Transformations

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

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{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.}