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.

Question

mertsj · Answer

Did you draw two congruent triangles?

anonymous · Answer

no, was i supposed too?

mertsj · Answer

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?

anonymous · Answer

true, im sorry one second i will.

anonymous · Answer

ok i did. now what?

mertsj · Answer

Do you have the ordered pairs?

anonymous · Answer

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

mertsj · Answer

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

anonymous · Answer

how do i find the length of the diagonal?

mertsj · Answer

Do you know the distance formula?

anonymous · Answer

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

mertsj · Answer

yes

mertsj · Answer

Use it to find the lengths of the sides.

anonymous · Answer

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

mertsj · Answer

You mean the similar triangles?

anonymous · Answer

yes.

mertsj · Answer

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.

mertsj · Answer

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

anonymous · Answer

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?

mertsj · Answer

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.

anonymous · Answer

ok i see

mertsj · Answer

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

anonymous · Answer

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.?

mertsj · Answer

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