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RUDIKE [14]
4 years ago
13

Please Help!!

Mathematics
2 answers:
viktelen [127]4 years ago
8 0

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'.

Simora [160]4 years ago
8 0

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 °.

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