# The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Eq

Question

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type “RightArrow.” For example: P(0, 0) RightArrow P′(1, 2).

Write a translation rule that maps point
D (7,−3) onto point D'(2,5).

in progress 0
1 month 2022-12-30T11:57:23+00:00 2 Answers 0 views 0

## Answers ( 2 )

1. Answer:
A(1,4)=A(1,-4)
B(3,-2)=b(3,2)
D(4,2)=D(4,-2)

2. Answer:
The translation rule that maps point D ( 7 , − 3 ) onto point D ‘ ( 2 , 5 )
is (x , y) → (x – 5 , y + 8)
Step-by-step explanation:
Let us revise the translation
If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
If the point (x , y) translated horizontally to the left by h units  then its image is (x – h , y)
If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
If the point (x , y) translated vertically down by k units  then its image is (x , y – k)
(x , y) → (x ± h , y ± k) the right arrow symbol used to show the
translation from a point to its image
Example:
∵ P (0 , 0) → P’ (1 , 2)
∴ The rule is (x , y) → (x + 1 , y + 2)
Let us find the translation rule that maps point D ( 7 , − 3 ) onto
point D’ (2 , 5)
∵ Point (x , y) = (7 , -3)
∵ Its image after translation (x + h , y + k) = (2 , 5)
∴ x + h = 2
∵ x = 7
∴ 7 + h = 2
– Subtract 7 from both sides
∴ h = -5
∵ y + k = 5
∵ y = -3
∴ -3 + k = 5
– Add 3 to both sides
∴ k = 8
∴ The rule of translation is (x , y) → (x – 5 , y + 8)
The translation rule that maps point D ( 7 , − 3 ) onto point D ‘ ( 2 , 5 )
is (x , y) → (x – 5 , y + 8)