Question

figure abcdef is shown below.
draw the figure using a scale factor of 0.25.
start at (0, 0) and plot the vertices in order, ending back at (0, 0).
the figure will turn blue when complete.
there is a diagram of the original figure abcdef with side lengths labeled: ab = 12, the vertical segment from b to c is 8, cd = 8, de = 12, ef = 20, and af = 20. also, there is a coordinate grid on the right for drawing the scaled figure.

Explanation:

Step1: Identify Original Coordinates

First, determine the coordinates of each vertex of the original figure \( ABCDEF \). Let's assume \( F \) is at \( (0,0) \). Then:

• \( F(0,0) \)
• \( A(0,20) \) (since \( FA = 20 \) vertically)
• \( B(12,20) \) (since \( AB = 12 \) horizontally)
• \( C(12,20 - 8)= (12,12) \) (since \( BC = 8 \) vertically down)
• \( D(12 + 8,12)= (20,12) \) (since \( CD = 8 \) horizontally right)
• \( E(20,0) \) (since \( DE = 12 \) vertically down to \( F(0,0) \) and \( FE = 20 \) horizontally)
• Back to \( F(0,0) \)

Step2: Apply Scale Factor

The scale factor is \( 0.25 \). Multiply each coordinate by \( 0.25 \):

• \( F': (0 \times 0.25, 0 \times 0.25) = (0,0) \) (start point)
• \( A': (0 \times 0.25, 20 \times 0.25) = (0,5) \)
• \( B': (12 \times 0.25, 20 \times 0.25) = (3,5) \)
• \( C': (12 \times 0.25, 12 \times 0.25) = (3,3) \)
• \( D': (20 \times 0.25, 12 \times 0.25) = (5,3) \)
• \( E': (20 \times 0.25, 0 \times 0.25) = (5,0) \)
• Back to \( F'(0,0) \)

Step3: Plot the Scaled Vertices

Plot the points \( (0,0) \), \( (0,5) \), \( (3,5) \), \( (3,3) \), \( (5,3) \), \( (5,0) \), and back to \( (0,0) \) on the grid. Each grid square is likely 1 unit, so these coordinates fit within the given grid (x and y from 0 to 25).

Answer:

The scaled figure has vertices at \( (0,0) \), \( (0,5) \), \( (3,5) \), \( (3,3) \), \( (5,3) \), \( (5,0) \), and back to \( (0,0) \). Plot these points in order to draw the scaled figure.