Question

scaled figures - organize the side lengths of original and scaled figures in a ratio table
problem solving
1 draw a figure that scales the polygon by a factor of 3. do not overlap the figures.
grid with polygon and 5 ft scale
2 each square on the grid in problem 1 measures 5 ft by 5 ft. use the length of corresponding segments on the original and scaled figures to complete the table.
original side length (ft) | 5 | 10 | 15 | 20
scaled side length (ft) | blank | blank | blank | blank (some filled as 1,2,3,4?)
3 a figure is scaled by a factor of 4. apply this scale factor to complete the table.
original side length (ft) | 6 | 2 | blank | blank
scale factor ×4
biusmath.com/page/printpage/12313

Explanation:

Problem 2

Step1: Determine scale factor

The polygon is scaled by a factor of 3 (from Problem 1). So scale factor \( k = 3 \).

Step2: Calculate scaled lengths

For original length \( l \), scaled length \( L = l\times k \).

• For \( l = 5 \): \( L = 5\times3 = 15 \)
• For \( l = 10 \): \( L = 10\times3 = 30 \)
• For \( l = 15 \): \( L = 15\times3 = 45 \)
• For \( l = 20 \): \( L = 20\times3 = 60 \)

The scale factor box is \( 3 \).

Problem 3

Step1: Apply scale factor 4

For original length \( l \), scaled length \( L = l\times4 \).

• For \( l = 6 \): \( L = 6\times4 = 24 \)
• For \( l = 2 \): \( L = 2\times4 = 8 \)

(Assuming the other original lengths are, say, let's take an example: if original length is \( 3 \), scaled is \( 3\times4 = 12 \); if original length is \( 5 \), scaled is \( 5\times4 = 20 \). But since the table is incomplete, we use the given values first.)

Answer:

(Problem 2 Table):

original side length (ft)	5	10	15	20

Scale factor: \( 3 \)