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Mathematics 10 Online
OpenStudy (abbles):

Geometry Help??

OpenStudy (compassionate):

Hello, hun, your question is incomplete. Please post the rest :-)

OpenStudy (abbles):

Oh sorry... Here is the question: 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 (compassionate):

You need to attach the photo.

OpenStudy (abbles):

Can you see it?

OpenStudy (abbles):

I have most of it but I can't figure out what transformations were used to create the smaller triangle.

OpenStudy (compassionate):

It was transformed 90 degrees counterclockwise. To know if they are similar, we cannot know, as we would need either two sides, or a side and an angle, (ASA) and (SSS) or (AAS)

OpenStudy (abbles):

But aren't the sides proportional? And if it was just rotated 90 degrees the triangles still wouldn't be the same size... ?

OpenStudy (compassionate):

Rotating it 90 degrees does not change the size. The image was scaled, yes, so the sides are different, but the angles are the same, and the sides are proportional, assuming that ABC and DEF are similar.

OpenStudy (compassionate):

It was reflected and rotated 90 degrees, to be exact.

OpenStudy (abbles):

I'm not sure I follow... if the original triangle was reflected and then rotated, it wouldn't end up being the smaller triangle which is what they're asking for.

OpenStudy (compassionate):

It was also scaled.

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