The rule (x, y)→(−x, y) maps △abc to △a′b′c′.
which statement correctly describes the relationship between △abc and △a′b′c′ ?
the triangles are congruent because △a′b′c′ is a rotation of △abc, and a rotation is a rigid motion.
the triangles are congruent because △a′b′c′
is a reflection of △abc, and a reflection is a rigid motion.
the triangles are not congruent because △a′b′c′
is a translation of △abc, and a translation is not a rigid motion.
the triangles are not congruent because △a′b′c′
is a reflection of △abc, and a reflection is not a rigid motion.

The correct option is :

(B)The triangle are congruent because the triangle A'B'C' is a reflection of triangle ABC and a reflection is a rigid motion.

Step-by-step explanation:

Given information:

The rule (x,y) going to (-x,y) maps triangle ABC to Triangle A'B'C'

Now,

The reflection is going on if we are going from (x,y) to (-x,y)

For example the point (1,3) will map (-1,3) , this is a reflection over y axis.

A reflection will keep the two points the same distance apart so we can say it will preserve the side length and distance.

Hence, if triangle ABC is reflected over y axis then A'B'C' is congruent to ABC.

So, The correct option is :

(B)The triangle are congruent because the triangle A'B'C' is a reflection of triangle ABC and a reflection is a rigid motion.

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step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

i dont understand the question? ?

step-by-step explanation: