Question

triangle fde is a rotation of scalene triangle abc. which statements are correct? select all that are correct. m∠e = m∠d m∠b = m∠c m∠f = m∠b m∠d = m∠c m∠e = m∠c m∠d = m∠b

Explanation:

Step1: Recall rotation property

Rotations are rigid - motions. Rigid - motions preserve angle measures.

Step2: Match corresponding angles

Since $\triangle FDE$ is a rotation of $\triangle ABC$, $\angle A$ corresponds to $\angle F$, $\angle B$ corresponds to $\angle D$, and $\angle C$ corresponds to $\angle E$.

Answer:

• $\text{m}\angle F=\text{m}\angle A$
• $\text{m}\angle D=\text{m}\angle B$
• $\text{m}\angle E=\text{m}\angle C$

So the correct statements are: $\text{m}\angle D = \text{m}\angle B$, $\text{m}\angle E=\text{m}\angle C$.