Question

problem 5
here is a polygon on a grid.
a. draw a scaled copy of the polygon using a scale factor of 3. label the copy a.
b. draw a scaled copy of the polygon with a scale factor $\frac{1}{2}$. label it b.
grade 7 unit 2 lesson 4: practice problems
3rd ed. cc by - nc 4.0. download for free at openup.org.

Explanation:

Step1: Identify polygon vertices

Locate the vertices of the original polygon on the grid.

Step2: Scale for part a

For a scale - factor of 3, multiply the x and y - coordinates of each vertex of the original polygon by 3 to get the vertices of polygon A. Then draw and label polygon A on the grid.

Step3: Scale for part b

For a scale - factor of $\frac{1}{2}$, multiply the x and y - coordinates of each vertex of the original polygon by $\frac{1}{2}$ to get the vertices of polygon B. Then draw and label polygon B on the grid.

Since this is a drawing problem, a visual answer cannot be provided in text - based format. The general steps for creating the scaled copies are as above. To actually solve this, one would use graph paper or a digital drawing tool, identify the vertices of the original polygon, apply the scale factors to the coordinates of the vertices, and then draw the new polygons A and B.

Answer:

Step1: Identify polygon vertices

Locate the vertices of the original polygon on the grid.

Step2: Scale for part a

For a scale - factor of 3, multiply the x and y - coordinates of each vertex of the original polygon by 3 to get the vertices of polygon A. Then draw and label polygon A on the grid.

Step3: Scale for part b

For a scale - factor of $\frac{1}{2}$, multiply the x and y - coordinates of each vertex of the original polygon by $\frac{1}{2}$ to get the vertices of polygon B. Then draw and label polygon B on the grid.

Since this is a drawing problem, a visual answer cannot be provided in text - based format. The general steps for creating the scaled copies are as above. To actually solve this, one would use graph paper or a digital drawing tool, identify the vertices of the original polygon, apply the scale factors to the coordinates of the vertices, and then draw the new polygons A and B.