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!

Respuesta :

Answer:

As, given

[tex]\frac{\text{Area of Model of a triangular piece of jewelry}}{\text{Actual Area of triangular Jewellery}}=\frac{1}{4}[/tex]

As, Pre image = Triangular piece of Jewellery

Image=Model of triangular piece of jewellery

Preimage is dilated by a factor of [tex]\frac{1}{4}[/tex], 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  [tex]\frac{1}{4}[/tex] to get the model of jewellery.

So, [tex]\frac{\text{Sides of Triangle of modelled jewellery}}{\text{sides of triangle of Actual  jewellery }}=\frac{1}{4}[/tex]