Respuesta :
The rule which describe the composition of transformations that
maps ΔBCD to ΔB"C"D" is:
Reflection across the y-axis composition translation of 6 units x,
negative 5 units y ⇒ last answer
Step-by-step explanation:
Let us revise the reflection across the y-axis , horizontal translation
and vertical translation
1. If point (x , y) is reflected across the y-axis, then its image is (-x , y)
2. If point (x , y) is translated h units to the right, then its image is
(x + h , y), if translated h units to the left, then its image is (x - h , y)
3. If point (x , y) is translated k units up, then its image is (x , y + k),
if translated k units down, then its image is (x , y - k)
∵ The vertices of triangle BCD are (1 , 4) , (1 , 2) , (5 , 3)
∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)
∵ The x-coordinates of the vertices of Δ B'C'D' have the same
magnitude of x-coordinates of Δ BCD and opposite signs
∴ Δ B'C'D' is the image of Δ ABC after reflection across the y-axis
∵ The vertices of triangle B'C'D' are (-1 , 4) , (-1 , 2) , (-5 , 3)
∵ The vertices of triangle B''C''D'' are (5 , -1) , (5 , -3) , (1 , -2)
∵ The image of -1 is 5 and the image of -5 is 1
∴ The x-coordinates of the vertices of triangle B'C'D' are added by 6
∵ The image of 4 is -1 , image of 2 is -3 and the image of 3 is -2
∴ The y-coordinates of the vertices of triangle B'C'D' are subtracted
by 5
∴ Δ B"C"D" is the image of Δ B'C'D' by translate 6 units to the right
and 5 units down ⇒ (x + 6 , y - 5)
The rule which describe the composition of transformations that
maps ΔBCD to ΔB"C"D" is:
Reflection across the y-axis composition translation of 6 units x,
negative 5 units y
Learn more:
You can learn more about reflection in brainly.com/question/11203617
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