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

Answer 1

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.