Question

amples 3 - 5 coordinate geometry find the coordinates of the figure with the given coordinates after the transformation on the plane. then graph the preimage and image.

1. a(3, 9), b(3, 7), c(7, 7); translation along the vector ⟨0, - 4⟩

11 m(-7, -1), p(-7, -7), r(-1, -4); reflection in the y - axis

1. x(-5, -4), y(-2, 0), z(-2, -4); rotation by 270° counterclockwise
2. a(2, 2), b(4, 7), c(6, 2); reflection in the x - axis

construction identify the type of rigid transformation performed on each given triangle to generate the other triangle in the truss with matching left and right sides shown below.

1. △nmp to △cjd
2. △efd to △ghf
3. △cbj to △nqp
4. school identify the transformations that are used to open a combination lock on a locker. if appropriate, identify the line of symmetry or center of rotation.
5. determine which capital letters of the alphabet have the following:

a. only vertical lines of reflection.
b. only horizontal lines of reflection
c. both vertical and horizontal lines of reflection
d. no lines of reflection

Explanation:

Step1: Recall reflection rule for y - axis

The rule for reflecting a point $(x,y)$ in the $y$-axis is $(-x,y)$.

Step2: Apply rule to point M

For $M(-7,-1)$, after reflection in the $y$-axis, the new $x$-coordinate is $-(-7) = 7$ and the $y$-coordinate remains the same. So the new point is $M'(7,-1)$.

Step3: Apply rule to point P

For $P(-7,-7)$, after reflection in the $y$-axis, the new $x$-coordinate is $-(-7)=7$ and the $y$-coordinate remains the same. So the new point is $P'(7,-7)$.

Step4: Apply rule to point R

For $R(-1,-4)$, after reflection in the $y$-axis, the new $x$-coordinate is $-(-1) = 1$ and the $y$-coordinate remains the same. So the new point is $R'(1,-4)$.

Answer:

$M'(7,-1), P'(7,-7), R'(1,-4)$