Question

figure abcdef is shown below.
draw the figure using a scale factor of 0.4.
start at (0, 0) and plot the vertices in order, ending back at (0, 0).
the figure will turn blue when complete.
a 10 b
5
c 5 d
15
10
f 15 e

Explanation:

Step1: Identify Original Coordinates

Assume \( F \) is at \((0,0)\). Then:

• \( F(0,0) \), \( E(15,0) \), \( D(15,10) \), \( C(15 - 5,10)=(10,10) \), \( B(10,10 + 5)=(10,15) \), \( A(0,15) \), back to \( F(0,0) \).

Step2: Apply Scale Factor 0.4

Multiply each coordinate by \( 0.4 \):

• \( F': (0\times0.4,0\times0.4)=(0,0) \)
• \( E': (15\times0.4,0\times0.4)=(6,0) \)
• \( D': (15\times0.4,10\times0.4)=(6,4) \)
• \( C': (10\times0.4,10\times0.4)=(4,4) \)
• \( B': (10\times0.4,15\times0.4)=(4,6) \)
• \( A': (0\times0.4,15\times0.4)=(0,6) \)
• Back to \( F'(0,0) \).

Step3: Plot Vertices

Plot \( (0,0) \), \( (6,0) \), \( (6,4) \), \( (4,4) \), \( (4,6) \), \( (0,6) \), then \( (0,0) \) in order.

Answer:

Plot vertices at \((0,0)\), \((6,0)\), \((6,4)\), \((4,4)\), \((4,6)\), \((0,6)\), and back to \((0,0)\) to draw the scaled figure.