Question

PLEASE HELP IM ON A TIME LIMIT :(

In the similarity
transformation of AACB
to AEFD, AACB was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation[ ].
A. 2
B. 1/2
C. 3
D. 1/3

Answer 1

hey hope this helps

Comparing sides AB and DE

AB =

`\sqrt{ {1}^(2) + {1}^(2) }`

`= √(2)`

DE

`= \sqrt{ {(3 - 5)}^(2) + {(1 + 1}^(2) } \\ = \sqrt{ {( - 2)}^(2) + {(2)}^(2) } \\ = √(4 + 4) \\ = √(8) \\ = 2 √(2)`

So DE = 2 × AB

and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.

scale factor = AB/DE

= 2

It's been reflected across the Y-axis

moved thru the translation of 3 units towards the right of positive x- axis

for this let's compare the location of points B and D

For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3

so the triangle has been shifted by 3 units across the positive x axis