En la cuadrícula, dibuja una copia a escala del polígono Q. Usa factor de escala 2. Compara el perímetro y el área del nuevo polígono con los de Q.

A polygon aligned to a square grid is labeled Q. The shape is composed of 3 rectangles. The left part of the shape is 2 squares tall and 1 square wide. The next part of the shape is 3 squares tall and 2 squares wide. The next part of the shape begins 1 square up from the bottom of the shape and is 2 squares tall by 4 squares wide.

Un triángulo rectángulo tiene un área de 36 unidades cuadradas. 

Diego dibujó una versión a escala de un polígono P y la llamó Q. 

A polygon aligned to a square grid labeled Q. The polygon is made up of 4 shapes, joined together along their edges. On the left is a right triangle with a base of 1 unit and a height of 2 units. To the right of the triangle is a 2 unit by 1 unit rectangle aligned with its 2 unit side next to the 2 unit side of the triangle. To the right of this is a 1 unit square, on top of a one-half unit triangle.

Si el área del polígono P es 72 unidades cuadradas, ¿qué factor de escala usó Diego para ir de P a Q? Explica tu razonamiento.

Este es un polígono sin marcar, junto con sus copias a escala, los polígonos A al D. Para cada copia, determina el factor de escala. Explica cómo lo sabes.

An unlabeled four sided polygon with four different scale copies labeled A, B, C and D on a square grid. The unlabeled polygon has 4 sides, with a vertical heightof 2 on the left side. The height of the vertical side in each polygon is as follows: Polygon A: 1 unit. Polygon B: 4 units. Polygon C: 3 units. Polygon D: 2 units.

Resuelve mentalmente cada ecuación. 

1. \(\frac17\boldcdot x=1\)
2. \(x \boldcdot \frac{1}{11}=1\)
3. \(1\div \frac{1}{5}=x\)