Type out your explanation. Mr. Rombro will review this later. Tyler was trying to prove that all rhombuses are similar. He thought, I draw 2 rhombuses, I can
find dilations that will take one thombus exactly onto the other. Then he wrote a prool All
rhombuses are NOT similar. Tyler's proof has flaws.
Step 3 is his first incorrect step. Explain what is wrong with stop 3
Tyler's Proof is below
Step 1: Let ABCD and W XYZ be rhombuses. By the definition of a rhombus
AB BC CDDA and WXXYYZZW.
Step 2. Diane rhombus ABCD by the scale factor given by "Side A' Er will be the same
length as W X because of how I chose the scale factor Because all sides of a rhombus are
congruent, c' will be the same length as WX and therefore the same length as XY, C'D' will
be the same length as Y Z and AD will be the same length as W2. That means all the
corresponding sides of ABCD and WXYZ will be the same length
Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so
there must be a sequence of transformations that take ABCD onto WXYZ using dilations
and rigid motions
Stop 4 Translate ABC D by the directed line segment A'W so that " and W coincide.
Step 5 Rotate A B C D by angle BWX so that Band X coincide Now segments
A"B" and W X coincide
Step 6: If needed, reflect ACD over segment WX so that and Z are on the
same side of WX Now segments and concide
Step 7 Once 3 vertices of the rhombus are ined up, the other vertex has to line up as well or
else the shapes wouldn't be rhombuses. So, we have shown we can use rigid motions and
citations to line up any 2 rhombuses, and therefore, all rhombuses are similar
IS STEP 3 incorrect, explain what’s wrong with step 3