Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
When the given shape is rotated about the axis 'a',
Triangle ABC forms a 3-D figure of a cone.
Segment AB is the diameter of the circular base and CD is the height of the cone.
Therefore, Option (2) CONE will be the answer.
The attached figure represents the image of A"B"C" after the transformation
<h3>How to transform the triangle?</h3>The transformation rule is given as:
A"B"C" = Ro90° (T(-4,3)(ABC))
This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle
From the figure, the coordinates of ABC are
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The rule of 90 degrees clockwise rotation is
(x,y) ⇒ (y,-x)
So, we have
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
The translation of the triangle by T(-4,3) is
(x,y) ⇒ (x - 4, y + 3)
So, we have
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
See attachment for the image of the transformation
Read more about transformation at:
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