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Help with this please, thank you!

Help with this please, thank you!-example-1
User BenVida
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1 Answer

1 vote

Answer:

A''' = (6,10), B'''= (2,12) and C''' = (4,4).

Explanation:

We have triangle ABC with co-ordinates A(2,3), B(4,4) and C(3,0).

Now the transformations applied to the given triangle are:

1. Translate by <-5,2> i.e. translated 5 units right and 2 units up.

So, the new co-ordinates are,

A' = (2,3) + (-5,2) = (-3,5)

B' = (4,4) + (-5,2) = (-1,6)

C' = (3,0) + (-5,2) = (-2,2)

2. Reflected across y-axis i.e. (x,y) becomes (-x,y)

The new co-ordinates are,

A'' = (-3,5) ⇒ (3,5)

B'' = (-1,6) ⇒ (1,6)

C'' = (-2,2) ⇒ (2,2)

3. Dilated by a factor of 2.

The final co-ordinates are,

A''' = 2 × (3,5) = (6,10)

B''' = 2 × (1,6) = (2,12)

C''' = 2 × (2,2) = (4,4)

Hence, the co-ordinates are given by, A'''(6,10), B'''(2,12) and C'''(4,4).

User Dejwi
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