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Mathematics 18 Online
OpenStudy (abbles):

Geometry question...?

OpenStudy (abbles):

In the image below, a student designed two triangles for their coordinate cartoon drawing of a cat. The larger triangle was created to represent an ear and the smaller one was created to represent the cat’s nose. Are the two triangles shown similar? If so, what transformation was used to create the smaller triangle? If they are similar, what corresponding parts are congruent and which parts are proportional?

OpenStudy (abbles):

What transformations were used to create the smaller triangle?

OpenStudy (anonymous):

im just learning geo myself but i know dialation was used

OpenStudy (abbles):

yes, the assignment before this was about dialations but I can't figure out what the scale factor used was...

OpenStudy (anonymous):

congruent would mean they are exactly the same. ok i'll see if i can help.

OpenStudy (abbles):

thank you this one is confusing me and they're not congruent, they're similar because the sides are proportional

OpenStudy (anonymous):

it looks like a dialation and then a rotation. @Chineseboy15 can u help?

ganeshie8 (ganeshie8):

how do u say the sides are proportional ?

OpenStudy (abbles):

Because side CB is proportional to side FE and side AB is proportional to DE and side CA is proportional to side FD.... see if you compare the two then the fractions are equivalent. For example, C to B is +2x and +6y and it's corresponding side on the small triangle is +1x and +3y so that's 1/3 for both of them.

ganeshie8 (ganeshie8):

Good observation, +2x and +6y is becoming +1x and +3y

ganeshie8 (ganeshie8):

so the scale factor looks to be 1/2 right ?

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