Respuesta :
From the figure, it can be seen that ΔJ'K'L' is formed from ΔJKL by the rotation of ΔJKL by 90 degrees counter-clockwise.
It can also be seen that ΔJ"K"L" is obtained from ΔJ'K'L' by the refrection of ΔJ'K'L' across the x-axis.
Therefore, the rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is given by
[tex]R_{0,90}\circ r_{x-axis}(x,y)[/tex]
It can also be seen that ΔJ"K"L" is obtained from ΔJ'K'L' by the refrection of ΔJ'K'L' across the x-axis.
Therefore, the rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is given by
[tex]R_{0,90}\circ r_{x-axis}(x,y)[/tex]
The composition of transformations that maps [tex]\Delta JKL[/tex] to [tex]{\Delta \text{J’K’L’}}\boxed{{\text{Rotation }}{{\text{0}}^ \circ }{\text{ to 9}}{{\text{0}}^ \circ }{\text{ and reflection about }}x{\text{ - axis}}}.[/tex]
Further explanation:
Given:
Triangle JKL is shown with point A lying on side UV and point B lying on side UW. Line AB is perpendicular to side UW.
Explanation:
Isometry is a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.
In isometric transformation the shape of the original and the image remains the same and the size of the image is same as the original.
From the attached figure it has been observed that the composition of transformations that maps [tex]\Delta JKL[/tex] to [tex]{\Delta \text{J’K’L’}}[/tex] is a [tex]{90^ \circ }[/tex] rotation and the reflection about the x-axis.
Thecomposition of transformations that maps [tex]\Delta JKL[/tex] to [tex]{\Delta \text{J’K’L’}}\boxed{{\text{Rotation }}{{\text{0}}^ \circ }{\text{ to 9}}{{\text{0}}^ \circ }{\text{ and reflection about }}x{\text{ - axis}}}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate geometry
Keywords: image vertices, triangle, dilated, lies, same line, shift four units, left, pre-imaged, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule.
