My Math Forum glide reflection help.

 Algebra Pre-Algebra and Basic Algebra Math Forum

May 20th, 2012, 04:29 AM   #1
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glide reflection help.

Hey guys, could you please help me with this question and explain how you got the answer? I'm doing this self study and it's super difficult without a teacher.
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 May 21st, 2012, 01:55 AM #2 Newbie   Joined: Mar 2012 Posts: 24 Thanks: 0 Re: glide reflection help. anyone??
 May 22nd, 2012, 02:10 PM #3 Newbie   Joined: Mar 2012 Posts: 24 Thanks: 0 Re: glide reflection help. bump?
 May 22nd, 2012, 02:20 PM #4 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,963 Thanks: 1148 Math Focus: Elementary mathematics and beyond Re: glide reflection help. Do you have any links to online resources regarding glide reflection? There doesn't seem to be enough information in the image you posted to solve the problem.
 May 22nd, 2012, 05:22 PM #5 Global Moderator   Joined: Dec 2006 Posts: 20,973 Thanks: 2223 1. The translation is approximately (x, y) → (x - 4.5, y - 4.5). 2. Reflection in the line y = x and a translation that is approximately (x, y) → (x + 4.5, y + 4.5). Last edited by skipjack; November 5th, 2014 at 09:14 AM.
 May 23rd, 2012, 01:39 AM #6 Newbie   Joined: Mar 2012 Posts: 24 Thanks: 0 Re: glide reflection help. don't know if any of this info will help but these are the previous questions: a) a photo that measures 5cm by 12 cm is enlarged to a width of 7cm i) what is the scale factor of enlargement? = 7/5 ii) find length of enlargement. = 16.8cm iii) find area of photo and enlargement. = photo= 60cm^2, enlargement= 117.6cm^2 iv) how many times larger is the enlargement? = 1.36x v) how many times larger is the perimeter of enlargement? = 1.4x b) calculate the coordinate of image P' of the point (3;5) after clockwise rotation about the origin through an angle of 210 degrees. I've also been having difficulty with this. (Could anyone perhaps help with this as well? Thanks.)
 May 23rd, 2012, 02:05 PM #7 Global Moderator   Joined: Dec 2006 Posts: 20,973 Thanks: 2223 (b) The rotation matrix would be $\begin{pmatrix} \cos{\theta}&\sin{\theta} \\ -\sin{\theta}&\cos{\theta} \end{pmatrix}$, where $\theta$ is the clockwise rotation angle. Last edited by skipjack; November 5th, 2014 at 09:16 AM.

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