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danielmartinez024m

21.12.2021

Mathematics

24 square units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation translation and dilation.

If a point O(x, y) is reflected along the y axis, the new location would be O(-x, y).

The coordinate of the triangle is B(3, 5), C(3, -3). Therefore since B is reflected along y axis to form B'. Hence, B' = (-3, 5)

$|BC|=\sqrt{(3-3)^2+(5-(-3))^2}=8\ units \\\\|CB'|=\sqrt{(-3-3)^2+(5-5)^2}=6\ units \\\\Area\ of\ triangle\ BCB'=\frac{1}{2}* |BC|*|BB'|=0.5*8*6\\\\Area\ of\ triangle\ BCB'=24\ units$

Point B is reflected over the y-axis to create the point B'. Then, points B, B' and C are connected

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