Question

Point B is reflected over the y-axis to create the point B'. Then, points B, B' and C are connected to form a triangle. What is the area of the triangle formed? 48 square units 14 square units 28 square units 24 square units

Answer 1

24 sq units

Explanation:

Answer 2

24 square units

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|=√((3-3)^2+(5-(-3))^2)=8\ units \\\\|CB'|=√((-3-3)^2+(5-5)^2)=6\ units \\\\Area\ of\ triangle\ BCB'=(1)/(2)* |BC|*|BB'|=0.5*8*6\\\\Area\ of\ triangle\ BCB'=24\ units`