Question

figure abcdef is shown below
draw the figure using a scale factor of 0.2
start at (0, 0) and plot the vertices in order, ending back at (0, 0).
the figure will turn blue when complete.

Explanation:

Step1: Identify Original Vertices

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

• \( F(0,0) \)
• \( E(20,0) \) (since \( FE = 20 \))
• \( D(20,5) \) (since \( DE = 5 \))
• \( C(5,5) \) (since \( CD = 15 \), so \( 20 - 15 = 5 \) for the x - coordinate)
• \( B(5,20) \) (since \( BC = 15 \), \( 5 + 15 = 20 \) for the y - coordinate)
• \( A(0,20) \) (since \( AB = 5 \))
• Back to \( F(0,0) \)

Step2: Apply Scale Factor

The scale factor is \( 0.2 \). To find the new coordinates, multiply each coordinate by \( 0.2 \):

• \( F': (0\times0.2,0\times0.2)=(0,0) \)
• \( E': (20\times0.2,0\times0.2)=(4,0) \)
• \( D': (20\times0.2,5\times0.2)=(4,1) \)
• \( C': (5\times0.2,5\times0.2)=(1,1) \)
• \( B': (5\times0.2,20\times0.2)=(1,4) \)
• \( A': (0\times0.2,20\times0.2)=(0,4) \)
• Back to \( F'(0,0) \)

Step3: Plot the New Vertices

On the given grid, plot the points \( (0,0) \), \( (4,0) \), \( (4,1) \), \( (1,1) \), \( (1,4) \), \( (0,4) \), and then back to \( (0,0) \) in order.

Answer:

The scaled - down figure has vertices at \( (0,0) \), \( (4,0) \), \( (4,1) \), \( (1,1) \), \( (1,4) \), \( (0,4) \) and back to \( (0,0) \) when plotted with the scale factor of \( 0.2 \). (The actual drawing should be done by plotting these points in order on the provided grid.)