triangle efg is dilated with a scale factor of 1/2 to create δ e ' f ' g ' . the measure of ∠ f ' is 36 ° . what is m ∠ f ?
a.
18
°
b.
36
°
c.
72
°
d.
144
°

  B.  36°

Step-by-step explanation:

Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.

B. 36 °

Step-by-step explanation:

Given : Triangle EFG is dilated with a scale factor of to create Δ E ' F ' G ' .

The measure of ∠ F ' is 36 ° .

We know that a dilation creates similar figures i.e. it preserves the measure of angles.

Therefore,  if Triangle EFG is dilated  to form Δ E ' F ' G ', then the measure of ∠ F = measure of ∠ F '  [Corresponding angles remains same]

⇒ The measure of ∠ F = measure of ∠ F ' = 36 °

Hence, m∠ F= 36 °.

what does x eaqual

step-by-step explanation: