Question

A translation moves point V(–2, 3) to V prime (negative 2, 7). Which are true statements about the translation?
1.The point moves two units left and four units up.
2.The transformation rule is (x, y) right-arrow (x + 0, y + 4).
3.The transformation is a vertical translation.
4.The image is four units to the left of the pre-image.
5.The translation can be described as (x, y) right-arrow (x minus 2, y + 7).

Answer 1

Given : A translation moves point V(–2, 3) to V prime (negative 2, 7).

To Find :

Which are true statements about the translation?

1 .The point moves two units left and four units up.

2 .The transformation rule is (x, y) right-arrow (x + 0, y + 4).

3. The transformation is a vertical translation.

4. The image is four units to the left of the pre-image.

5 .The translation can be described as (x, y) right-arrow (x minus 2, y + 7).

Solution:

A translation moves point V(–2, 3) to V' (-2, 7)

Here x coordinate remains same and y coordinate has been increases by 4

Hence point does not move Left or right

but goes 4 unit up

x' = x = x + 0  and y'  =  y + 4

1 .The point moves two units left and four units up.   -INCORRECT

point does not move 2 units left

2 .The transformation rule is (x, y) right-arrow (x + 0, y + 4).  - CORRECT

3.  The transformation is a vertical translation.   CORRECT  

as point moves  4 unit vertical

4. The image is four units to the left of the pre-image.  INCORRECT

image is four units up to the pre-image

5 .The translation can be described as (x, y) right-arrow (x minus 2, y + 7).  INCORRECT

translation can be described as (x, y)   (x + 0, y + 4)

TRUE STATEMENT

2 .The transformation rule is (x, y) right-arrow (x + 0, y + 4).

3.  The transformation is a vertical translation.

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