How do you find scale factor?
Scale factor is the ratio between the length of any linear component of the image to the length of its corresponding original component.
Scaling proportionally changes all the lengths of straight segments, preserves the angles and, in particular, preserves parallelism and perpendicularity between straight lines.
A concept of similarity is completely based on scaling. See UNIZOR menu items Geometry - Similarity many details, theorems and problems.
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To find the scale factor, divide the length, perimeter, area, or volume of one object by the corresponding length, perimeter, area, or volume of a similar object.
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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.
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 ,9 )#. 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?
- What is the equation for the line of reflection that maps the trapezoid onto itself?
- A line segment has endpoints at #(2 ,0 )# and #(1 , 3 )#. If the line segment is rotated about the origin by # pi /2 #, translated horizontally by # 1 #, and reflected about the y-axis, what will the line segment's new endpoints be?
- A triangle has corners at #(9, 4 )#, ( 5, -9)#, and #( 2, -3)#. If the triangle is reflected across the x-axis, what will its new centroid be?
- Points A and B are at #(9 ,9 )# and #(7 ,6 )#, 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?

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