ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?

A coordinate plane showing triangles A B C and A prime B prime C prime. The coordinates of the first figure are A negative 2 comma 2, B zero comma 4, and C 2 comma 2. The coordinates of the second figure are A prime 8 comma 2, B prime 6 comma 4, and C prime 4 comma 2.


a.)A reflection over the line x = 2

b.)A reflection over the line y = 3

c.)A reflection over the line x = 3

d.)A reflection over the y-axis

Respuesta :

The statement that best describes the reflection of ΔABC is "A reflection over the line x = 3".

What is a triangle?

A triangle is a polygon with 3 sides. Also, It has three vertices.

If we plot the two triangles on the graph,

A = (-2,2)

B = (0,4)

C = (2,2)

A' = (8,2)

B' = (6,4)

C' = (4,2)

We will find that the two of the triangles are identical therefore, the two triangles are reflections of each other, and the distance between the points

C and C' is of 2 units, therefore, if we draw the line between the two points, C and C' such that the line is parallel to the y-axis and lies at x=3, then ΔA’B’C’ will be a reflection of ΔABC.

Hence, the statement that best describes the reflection of ΔABC is "A reflection over the line x = 3".

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