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Reflection in the line y = x 2010-07-21
From tousif:
Find the 2 x 2 matrix which represents a reflection in the line y = x? Please help....
Answered by Penny Nom.
An altitude of the triangle intersect a side of the triangle 2010-01-23
From Sarah:
In what type of triangle does an altitude of the triangle intersect a side of the triangle at its midpoint??
-Sarah

Answered by Walter Whiteley.
Symmetries of a polyhedron 2009-03-02
From Vincent:
I want to ask is there a formula to find out the number of axes of rotation & plane of reflection of a 3D figure, like pentagon, pyramid?
Answered by Chris Fisher.
A reflected line segment 2008-07-14
From Peter:
Segment AB has endpoints A(-1,2) and (3,1). Segment AB is reflected over the y-axis such that A becomes A' and B becomes B'. What is the positive difference between the lengths of segment AA' and segment BB'?
Answered by Janice Cotcher.
Two mirrors 2007-10-24
From Peter:
The reflecting surfaces of two intersecting flat mirrors are at an angle θ (0 < θ < 90). For a light ray that strikes the horizontal mirror, show that the emerging ray will intersect the incident ray at an angle β = 180 2θ.
Answered by Stephen La Rocque.
Mini Golf 2006-08-17
From Sarah:
I am a sixth grade teacher in Minnesota. I want to have my students explore mini golf and calculate the reflections and angles so that they can figure out how to hit a hole in one. I know that my daughter had various problems like this in eighth grade geometry, but I can't seem to find any internet activities of the appropriate level.
Answered by Stephen La Rocque.
Mini Golf geometry 2006-07-18
From Sarah:
I want to have my students explore mini golf and calculate the reflections and angles so that they can figure out how to hit a hole in one. I know that my daughter had various problems like this in eighth grade geometry, but I can't seem to find any internet activities of the appropriate level. If you can steer me towards any resources, I'd be most grateful.
Answered by Natasha Glydon.
A sequence of transformations 2005-01-03
From Abraham:
Please go to this web site and look at number 31.

http://www.nysedregents.org/testing/mathre/matharch/mathbtestau02.pdf

That is the New York state education web site. Can you tell me if my answer would be marked correct? My answer was Transformation of 4,-3 (T 4,-3) followed by a reflection in the x-axis.If I graphed the question and wrote that, would I get full credit

Answered by Harley Weston.
Transformations of pattern blocks 2003-02-06
From Cheryl:
I am trying to help my 8th grade son with Transformations - use of patttern blocks. He has to trace a figure and reflect it across the x-axis, which I can do, but then it indicates include ordered pairs - that confuses me.
Answered by Penny Nom.
Moving a triangle 2002-04-18
From A student:
find the verticles of a triangle after it is translated 2 units to the left and then is reflected across the graph of y=x+2. The original verticles of the triangle are (2,0), (3,2), and (6,2).
Answered by Peny Nom.
Reflection off a sphere 2000-05-12
From Mark Adami:
Given two points P,E and a sphere. Find a point on the sphere, T, so that a line from P that bounces off the sphere at T goes through point E.
Answered by Chris Fisher and Harley Weston.
The three jugs problem 1999-09-02
From Kent Lane:
I wonder if you could help me figure out this secondary Discrete Math Problem. I cannot figure out where this comes from.

Here's the question:

You have three containers. Container 1 is a three (3) liter container. Container 2 is a five (5) liter container. Container 3 is an eight (8) liter container that is full of liquid. The goal is to get 4 liters in one of the containers.

Stipulations: There are no marks on the containers to measure out the liquid.

All you know is that 1 is 3 l., 2 is 5 l., and 3 is 8 l. full of liquid.
Answered by Chris Fisher.

Shape-preserving transformations 1999-05-04
From J McAndrew:
A shape preserves its shape if a rotation, translation or scaling is performed on it. Are these the only continuous transformations which have this property? These transformations if performed on the parts and then summed have the same effect as the transformation being applied to the whole; are these linear transformations? Who, and what area of mathematics has classified all transformations of this type completely?
Answered by Chris Fisher.
Frieze Patterns 1998-08-19
From Brian Bairstow:
I am doing a research project on frieze patterns (also called band patterns or border patterns). I know that there are exactly seven different types of frieze patterns, but I have been unable to find a proof for this. If you could tell me this proof, or tell me some internet sites on which I can find material on this, I would be very grateful.
Answered by Chris Fisher.
 
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