How does dilation affect angle measures?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources


Write a one sentence answer...



Explain in detail...


I want someone to double check my answer

Describe your changes (optional) 200

Dec 26, 2015


Dilation (scaling) does not affect angle measure. It remains the same.
That is, an image of an angle transformed by scaling is an angle of the same measure as an original.


Dilation (scaling) is the main basis for similarity in geometry.
It transforms any line into the one parallel to it.
Therefore, an image of an angle scaled to another location is another angle with correspondingly parallel sides.

As we know, angles with correspondingly parallel sides are congruent and are measured the same.

For details and proof of the above statements please refer to Unizor followed by menu items Geometry - Similarity - Angles.

Was this helpful? Let the contributor know!
Impact of this question
3826 views around the world
You can reuse this answer
Creative Commons License