Question

Test

Answer 1

Answer:

$DF = 4$

Step-by-step explanation:

See attachment for proper question

From the attachment, triangle DEF is an image of ABC

By comparing the position of the angles, the following sides are similar

AB to DE

AC to DF

BC to EF

By dividing the similar sides, we calculate the scale of dilation.

$Scale = \frac{DE}{AB}$

$Scale = \frac{8}{4}$

$Scale = 2$

To calculate DF, we make use of sides AC and DF as comparison:

$Scale = \frac{DF}{AC}$

Substitute 2 for Scale and 2 for AC

$2= \frac{DF}{2}$

Make DF the subject

$DF = 2 * 2$

$DF = 4$