# What are the different coordinate transformation conjectures?

Traditionally, we consider these four transformations:

*Rotation, Reflection, Translation, Dilation*.

However, one can invent some other types as well as a combination of them.

By signing up, you agree to our Terms of Service and Privacy Policy

The different coordinate transformation conjectures include:

- The Polar Coordinate Transformation Conjecture
- The Cylindrical Coordinate Transformation Conjecture
- The Spherical Coordinate Transformation Conjecture

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Circle A has a radius of #1 # and a center of #(2 ,4 )#. Circle B has a radius of #2 # and a center of #(4 ,5 )#. If circle B is translated by #<1 ,4 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
- A triangle has corners at #(1, 6 )#, ( 1 , 2)#, and #( 7, -1)#. If the triangle is reflected across the x-axis, what will its new centroid be?
- A line segment has endpoints at #(7 ,3 )# and #(1 ,2 )#. The line segment is dilated by a factor of #3 # around #(3 ,4 )#. What are the new endpoints and length of the line segment?
- Points A and B are at #(9 ,3 )# and #(7 ,8 )#, respectively. Point A is rotated counterclockwise about the origin by #pi # and dilated about point C by a factor of #2 #. If point A is now at point B, what are the coordinates of point C?
- Circle A has a radius of #2 # and a center of #(3 ,1 )#. Circle B has a radius of #6 # and a center of #(8 ,5 )#. If circle B is translated by #<-4 ,-1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7