Question

Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the largest angle measure in triangle DEF?
41∘

82∘

123∘

164∘

Answer 1

Answer:

Option 2) 82°

Step-by-step explanation:

The dilation means the enlargement of the figure or reduction in the size of the figure.

If the scale factor is greater than 1, its an enlargement

If the scale factor is smaller than 1, it is a reduction.

But what ever be the case,

the triangles always remain similar.

Hence the size of the sides changes,

But the size of the angles always remains the same.

Now the largest angle of triangle ABC is 82°.

Hence the largest angle of the triangle DEF shall be 82°.

Second option 82° is the right answer.