Similar Figures Answers

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112609

Which graph has figures that can undergo a similarity transformation to justify that they are similar?

A
[Image: On a coordinate plane, a small square and a rectan...]
Option A
B
[Image: On a coordinate plane, 2 rectangles are shown. The...]
Option B
C
[Image: On a coordinate plane, 2 rectangles are shown. The...]
Option C
D
[Image: On a coordinate plane, 2 rectangles are shown. The...]
Option D
112610

Which composition of similarity transformations would map polygon ABDC to polygon A'B'D'C'?

A
a dilation with a scale factor greater than 1 and then a translation
B
a dilation with a scale factor greater than 1 and then a rotation
C
a dilation with a scale factor less than 1 and then a reflection
D
a dilation with a scale factor less than 1 and then a translation
112611

△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2).

Answers:
The distance between the x-coordinates of R and T is .:3
The distance between the y-coordinates of R and T is .:6
R' is from T, so the coordinates of R' are .:1 unit left, 2 units up
R' is from T, so the coordinates of R' are .:(2, 0)
112612

034✔ 6

A
0
B
3
C
4
D
✔ 6
112613

1 unit left, 1 unit up✔ 1 unit left, 2 units up3 units left, 2 units up2 units left, 4 units up

A
1 unit left, 1 unit up
B
✔ 1 unit left, 2 units up
C
3 units left, 2 units up
D
2 units left, 4 units up
112614

(0, 0)(0, 2)(1, 2)✔ (2, 0)

A
(0, 0)
B
(0, 2)
C
(1, 2)
D
✔ (2, 0)

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