Step-by-step explanation:
Given the information
- Scale factor 1.5
- Let O (4,4) as the centre of enlargement
- A (0, 0)
- B (-2, 0)
- C (-2, 4)
Step 1:
First draw lines from point O through A, B and C, as shown in the diagram
Step 2:
Measure the length O A and multiply it by 1.5 to get the distance from O of the image point A';
<=> O A' = 1.5 × O A.
<=> OA' = 1.5 * [tex]\sqrt{(4-0)^{2} + (4-0)^{2} }[/tex]
<=> OA' = 1.5*4[tex]\sqrt{2}[/tex]
<=> OA' = 6[tex]\sqrt{2}[/tex]
Mark the point A' on the diagram
Step 3:
The images B' and C' can then be marked in a similar way and the enlarged triangle A' B' C' can then be drawn.
OB' = 1.5OB
<=> OB' = 1.5 [tex]\sqrt{(4-(-2))^{2} + (4-0)^{2} }[/tex]
<=> OB' = 1.5*2[tex]\sqrt{13}[/tex]
<=> OB' = [tex]3\sqrt{13}[/tex]
OC' = 1.5*[tex]\sqrt{(4-(-2))^{2} + (4-4)^{2} }[/tex]
<=> OC' = 1.5*6
<=> OC' = 9
Hope it will find you well.
