The second H-shaped polygon is a scaled copy of the first. The height of the original H is 5 units. The width is 10. The center bar is 4 across. The height of the copy is about 1.25 units. The width is about 2.5. The center bar is 1 across. Show one pair of corresponding points and two pairs of corresponding sides in the original polygon and its copy. Consider using colored pencils to highlight corresponding parts or labeling some of the vertices. What scale factor takes the original polygon to its smaller copy? Explain or show your reasoning.

a. See attachment 2

b. Scale factor is 1/4

Step-by-step explanation:

See attachment 1 for complete question

Given

Original

Scaled Copy

Solving (a): Corresponding Points & Sides

The corresponding points of the original copy to the scaled copy can be gotten by writing out the measurements as : (x,y)

Where x represents the original and y represents the scaled copy

Taking the height as a point

We have:

This will be represented as a dot or point.

A dot at the tip of the line representing height in the original and scaled copy can be colored green

And the width and center as sides

We have:

These will be represented by lines

For width:

Two lines representing width in the original and scaled copy respectively can be colored yellow

For center:

Two lines representing center in the original and scaled copy respectively can be colored red

See attachment

Solving (b): The scale factor

To solve for the scale factor, we simply divide the measurement of the scaled copy by the original copy

Recall that:

 ,     and  

Using Height:

This gives:

For width:

This gives:

For the center:

Hence, the scale factor is 1/4

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8