Question

Enlarge the triangle by scale factor 1.5 using (4,4)as the centre of enlargement.​

Answer 1

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 * $\sqrt{(4-0)^{2} + (4-0)^{2} }$

<=> OA' = 1.5*4$\sqrt{2}$

<=> OA' = 6$\sqrt{2}$

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 $\sqrt{(4-(-2))^{2} + (4-0)^{2} }$

<=>  OB' = 1.5*2$\sqrt{13}$

<=> OB' = $3\sqrt{13}$

OC' = 1.5*$\sqrt{(4-(-2))^{2} + (4-4)^{2} }$

<=> OC' = 1.5*6

<=> OC' = 9

Hope it will find you well.