Symmetries in Shapes Answers

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Which transformation on the coordinate plane is a dilation?

A
Option
B
Option
C
Option
3

C’ =

A
(–1/5, –1)
B
(–1, –1)
C
(–1/5, 1)
D
(–1, 1)
4

The transformation from triangle ABC to triangle A’B’C’ is .

A
an enlargement
B
a translation
C
a reflection
D
a rotation
5

What are the coordinates for an enlarged parallelogram, A’B’C’D’, if the scale factor for the dilation is ?

Question illustration
A
A’(–7, 2); B’ (7, 2); C’(0, –2); D’ (–14, –2)
B
A’(–7, 7); B’ (7, 7); C’(0, –7); D’ (–14, –7)
C
A’(–2, 7); B’(2, 7); C’(0, –7); D’(–4, –7)
D
A’(–7, –7); B’(7, –7); C’(0, 7); D’(–14, 7)
7

A’ =

A
(1, –3)
B
(1, –3/5)
C
(1, 3/5)
D
(5, –3)
8

Does the transformation represent a dilation? Why or why not?

A
no, because each vertex is not multiplied by the same scale factor
B
yes, because each vertex is multiplied by 4/3
C
yes, because each vertex is multiplied by 2
9

B’ =

A
(–1, –3/5)
B
(–1, 3/5)
C
(–1, –3)
D
(–5, –3)

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