Question

1. enlarging camille wants to make a pattern for a four - pointed star with dimensions twice as long as the one shown. help her by drawing a star with dimensions twice as long on the grid below.

Explanation:

Step1: Analyze the original star's dimensions

First, observe the original four - pointed star on the grid. Let's assume the original star has a certain number of grid units in length (from one tip to the opposite tip) and width. For example, if we consider the horizontal and vertical extents of the original star, we can find out how many grid squares it spans.

Step2: Determine the new dimensions

Since we need to make the dimensions twice as long, we will double the number of grid units that the original star spans in both the horizontal and vertical directions. For instance, if the original star spans \(n\) grid units in a particular direction, the new star will span \(2n\) grid units in that direction.

Step3: Plot the new star

Using the grid, we start by marking the new tips of the star. If the original top - most tip was at a certain grid coordinate \((x,y)\), the new top - most tip will be at a coordinate that is twice the distance from the center (in terms of grid units) in the vertical direction. Similarly, we do this for the bottom, left, and right tips. Then we connect the tips in a way that maintains the shape of the four - pointed star, just scaled up.

Answer:

To draw the enlarged star:

1. Identify the center of the original star (by looking at the intersection of the horizontal and vertical lines of symmetry of the original star).
2. For the horizontal direction: If the original star extends \(a\) grid units to the left and \(a\) grid units to the right of the center, the new star will extend \(2a\) grid units to the left and \(2a\) grid units to the right.
3. For the vertical direction: If the original star extends \(b\) grid units up and \(b\) grid units down from the center, the new star will extend \(2b\) grid units up and \(2b\) grid units down.
4. Mark the new four tips (top, bottom, left, right) based on the doubled distances from the center.
5. Connect the tips with lines that follow the same general shape as the original star (e.g., the lines from the tips to the inner part of the star should be scaled proportionally) to form the enlarged four - pointed star.

(Note: Since this is a drawing task, the actual drawing would be done on the provided grid by following the above steps of scaling the original star's dimensions by a factor of 2.)