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Question

Which of the following is correct regarding the transformation of the red colored triangle to the green colored triangle?


A
Scale factor = 1, transmitted 5 units right, and 5 units up
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B
Scale factor = 1.5, transmitted 5 units right, and 5 units up
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C
Scale factor = 1, transmitted 5 units right, and 5 units down
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D
Scale factor = 1, transmitted 5 units left, and 5 units down
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Solution

The correct option is A Scale factor = 1, transmitted 5 units right, and 5 units up
Coordinates of red colored triangle are (0,0), (3,0), and (0,3).
Length of three sides of the red colored triangle are 3 units, 3 units and 3√2 units respectively.

Coordinates of green colored triangle are (5,4), (5,7), and (8,4).
Length of three sides of the red colored triangle are 3 units, 3 units and 3√2 units respectively.

So, the scale factor is 1, centered around the origin.

The red colored triangle is transmitted 5 units right and 4 units up.

So, we add 5 with x-coordinates and 4 with y-coordinates of the red colored triangle respectively.
Old coordinates New coordinates
(0,0) (5,4)
(3,0) (8,0)
(0,3) (5,7)


Option 'a' is correct.

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