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A model of a triangular piece of jewelry has an area that is 1/4 the area of the jewelry. How did the dimensions of the triangles compare?

6th Grade Math

Chapter 10 Lesson 8

Changing Dimensions

Plz explain how you found the answer!

Thank You!

Verified Answer :

Answer:

As, given

\(\frac{\text{Area of Model of a triangular piece of jewelry}}{\text{Actual Area of triangular Jewellery}}=\frac{1}{4}\)

As, Pre image = Triangular piece of Jewellery

Image=Model of triangular piece of jewellery

Preimage is dilated by a factor of \(\frac{1}{4}\), to get the image.

Dilation factor< 1

So,it means sides of original triangle that is actual piece of Jewellery, has also been dilated by a factor of  \(\frac{1}{4}\) to get the model of jewellery.

So, \(\frac{\text{Sides of Triangle of modelled jewellery}}{\text{sides of triangle of Actual  jewellery }}=\frac{1}{4}\)

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