Question

Please Help!!

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
°

Answer 1

Answer:

  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'.

Answer 2

Answer: B. 36 °

Step-by-step explanation:

Given : Triangle EFG is dilated with a scale factor of $\dfrac{1}{2}$ 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 °.