Mathematics
OpenStudy (anonymous):

Provide the ordered pairs for two congruent triangles on the coordinate plane. Explain, using complete sentences, how you know these triangles are congruent. Provide the ordered pairs for two similar triangles on the coordinate plane. Explain, using complete sentences, how you know these triangles are similar. Provide the ordered pairs for two triangles that have no relationship on the coordinate plane. Explain, using complete sentences, how you know these triangles have no relationship.

OpenStudy (mertsj):

Did you draw two congruent triangles?

OpenStudy (anonymous):

no, was i supposed too?

OpenStudy (mertsj):

The very first thing says to provide the ordered pairs for two congruent triangles. If you don't draw two congruent triangles on a piece of graph paper, how are you going to provide the ordered pairs?

OpenStudy (anonymous):

true, im sorry one second i will.

OpenStudy (anonymous):

ok i did. now what?

OpenStudy (mertsj):

Do you have the ordered pairs?

OpenStudy (anonymous):

yes. i have 2 triangles ABC and DEF. the orddered pairs for ABC are A=2,1 B= 2,4 and C= 5,1. DEF= D=-2,1 E=-2,4 and F= -5, 1

OpenStudy (mertsj):

Now find the lengths of the sides and show that they are the same. That will prove the triangles are congruent.

OpenStudy (anonymous):

how do i find the length of the diagonal?

OpenStudy (mertsj):

Do you know the distance formula?

OpenStudy (anonymous):

ithink so. sqrt of x1-x2+ y1-y2

OpenStudy (mertsj):

yes

OpenStudy (mertsj):

Use it to find the lengths of the sides.

OpenStudy (anonymous):

ok. so i understand 1 but now 2 im confused about.

OpenStudy (mertsj):

You mean the similar triangles?

OpenStudy (anonymous):

yes.

OpenStudy (mertsj):

Similar triangles have the same shape but not the same size. Use these ordered pairs: (06) (0,0) and (6,0) for one of the triangles.

OpenStudy (mertsj):

For the smaller triangle use these ordered pairs: (0,0) (-3,0) and (0,-3)

OpenStudy (anonymous):

ok thanks i wil and for the ones that have compleately opposite can i use like big numbers that dont even fit on the grid?

OpenStudy (mertsj):

Then show that you can multiply the lengths of the sides of the small triangle by 2 to get the lengths of the sides of the big triangle.

OpenStudy (anonymous):

ok i see

OpenStudy (mertsj):

I don't know what that means... the ones that have completely opposite

OpenStudy (anonymous):

like say i did 9878,6785 7586,4657 and 1234,3212 for one..i mean the teacher wouldnt even look at them because they are so big of numbers so she knows they have no relationship.?

OpenStudy (mertsj):

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