The option [tex]\bf{A}[/tex] is correct match for the reflection of object [tex]ABCD[/tex].
Further explanation:
Concept:
The formula for the reflection of a point is as follows:
If a point [tex]\left( {x,y} \right)[/tex] is reflected across [tex]y[/tex] axis its [tex]x[/tex] coordinate becomes negative as follows:
[tex]rx-{\text{axis}}\left( {x,y}\right)\to \left({-x,y}\right)[/tex]
If a point [tex]\left( {x,y} \right)[/tex] is reflected across [tex]x[/tex] axis its [tex]y[/tex] coordinate becomes negative as follows:
[tex]ry-{\text{axis}}\left({x,y}\right)\to\left({x,-y}\right)[/tex]
Explanation:
From the given graph, it is observed that [tex]y[/tex]-axis of the plane [tex]xy[/tex] is behaving like a mirror.
If we stand in place of [tex]ABCD[/tex] and a mirror is placed along the [tex]y[/tex]-axis, our image will be in place of [tex]A'B'C'D'[/tex].
Therefore this is a reflection in the [tex]y[/tex]-axis or in the line [tex]x = 0[/tex].
For reflection in the [tex]y[/tex]-axis, the [tex]x[/tex] coordinate becomes negative.
The rule for this reflection in the [tex]y[/tex]-axis is as follows:
[tex]rx-{\text{axis}}\left({x,y} \right)\to\left({-x,y}\right)[/tex].
Thus, the option [tex]\bf{A}[/tex] is correct match for the reflection of object [tex]ABCD[/tex].
Learn more:
1. Which rule describes the transformation? https://brainly.com/question/2992432
2. Which undefined term is needed to define an angle? https://brainly.com/question/3717797
3. Look at the figure, which trigonometric ratio should you use to find x? https://brainly.com/question/9880052
Answer Details
:
Grade: Senior School
Subject: Mathematics
Chapter: Coordinate geometry.
Keywords:
object ABCD, is shown on the graph, rotated 270° about the origin, rotation, degrees, transformation geometry, translation, reflection, dilation, multiplier, vertex matrix, initial coordinate, the image, rule, describes triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs, sum of angle of triangle, property of triangle, triangle ABC.
