Name_______ANSWERS_______________
“Similarity transformations” is the terminology used to refer to all
transformations used in relation to similar figures (a combination of
dilations and the isometric transformations of reflection, translation,
and rotation).
1. The diagram at the right shows ΔABC  ΔDEF. Complete the following
statements regarding these triangles.
A   _D_
AB
AC

DE DF
B   _E__
F   _C__ EF DE

AB
BC
AC DF

BC
EF
For the following problems, the figures are similar. Identify the similarity transformation(s) that can
be used to justify the similarity. Please be specific in your descriptions.
2.
3.
ΔABC was dilated by a scale factor
ΔDEF was reflected across the y-axis,
of 2 centered at the origin. This is known
then it was dilated by a scale factor of ½ .
by checking the coordinates of the vertices.
Verified by checking coordinates of
the vertices.
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4.
5.
Quad MATH was dilated by a scale factor
ΔRST is dilated by a scale factor of ½
of ½ in the origin and then translated 3 units
and then rotated 180º in the origin.
right and 1 unit down. Verify by the
Check with coordinates.
coordinates of the figures.
6.
ΔCAT is reflected in the x-axis and then
translated parallel to the x-axis for 4 units
to the right. This is a glide reflection.
The ratio of similitude for these triangles
is 1:1, which means the triangles are
congruent.
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