(04.02 HC)
Are the two figures below similar? Explain why or why not using complete sentences. Provide evidence to support your claims.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@Abhisar
OpenStudy (anonymous):
@wio @Preetha
OpenStudy (anonymous):
@sleepyjess @mathmate @mathmath333
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OpenStudy (anonymous):
really need help
OpenStudy (anonymous):
please help
OpenStudy (mathmate):
Check if the lengths and angles of corresponding sides are in a constant ratio (in this case 2 (or 1/2, depends on which one is the image).
OpenStudy (anonymous):
im pretty sure that they aren't similar
OpenStudy (anonymous):
but im not sure how to explain
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OpenStudy (mathmate):
Give one counter example. If you find it, you're right.
OpenStudy (anonymous):
well the angles don't correspond
OpenStudy (anonymous):
nor do the sides
OpenStudy (anonymous):
but it needs to be more specific
OpenStudy (mathmate):
The sides are in a ratio, and the angles are to be equal.
You can only compare angles by the ratio of the respective x and y-projections.
Example:
CD has x-projection of 4, and y-projection of 2.
JK has x-projection of 2, and y-projection of 1.
Since 4/2=2/1, they are in a ratio of 2, so this side is satisfactory.
Check all the other sides to complete your evaluation.