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

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 class=

Respuesta :

Answer:

hey hope this helps

Comparing sides AB and DE

AB =

[tex] \sqrt{ {1}^{2} + {1}^{2} } [/tex]

[tex] = \sqrt{2} [/tex]

DE

[tex] = \sqrt{ {(3 - 5)}^{2} + {(1 + 1}^{2} } \\ = \sqrt{ {( - 2)}^{2} + {(2)}^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \\ = 2 \sqrt{2} [/tex]

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