135k views
4 votes
Which series of transformations shows that figures 1 and 2 are similar?

Figure 1 is the preimage. *
sty
7
6
5
AU
2
1
O
3
--7-6-5-4-3 2-1
4 5 6 7 8
-5
-6
-7
-81
о
a dilation of figure 1 with scale factor 12 then a reflection
О
a dilation of figure 1 with scale factor 12 then a translation
a dilation of figure 1 with scale factor 3/2 then a translation
a dilation of figure 1 with scale factor 3/2 then a reflection

Which series of transformations shows that figures 1 and 2 are similar? Figure 1 is-example-1
User Kicken
by
8.5k points

1 Answer

3 votes

Answer:

Option (4)

Explanation:

Length of segment between two points
(x_1,y_1) and
(x_2,y_2) is given by,

d =
√((x_2-x_1)^2+(y_2-y_1)^2)

From the figure attached,

Distance between A(0, -3) and B(3, 0) =
√((3-0)^2+(0+3)^2)

AB =
3√(2)

Distance between A'(-3.5, -4.5) and B'(-8, 0)

Length of A'B' =
√((-3.5+8)^2+(-4.5-0)^2)

A'B' =
4.5√(2)

Scale factor for dilation =
(4.5√(2))/(3√(2))=1.5

Therefore series of transformations will be,

A dilation of figure 1 with scale factor of
(3)/(2) and then a reflection.

Option (4) will be the answer.

User Ghayel
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories