Trapezoid is shown with vertices at negative 5 comma 1, negative 4 comma 3, negative 2 comma 3, and negative 1 comma 1.

What series of transformations would carry the trapezoid onto itself?

(x + 0, y − 4), 90° clockwise rotation, reflection over the y-axis
(x + 0, y − 4), 180° rotation, reflection over the y-axis
(x + 6, y + 0), 90° clockwise rotation, reflection over the x‐axis
(x + 6, y + 0), 180° rotation, reflection over the x‐axis

It’s a little confusing to read the pictures. I took the long way around by manually following each step for all four answers. Original TRAP looks like this:

T = -4, 3

R = -2, 3

A = -1, 1

P = -5, 1

Keys (take note of these, they are important to know)

90 degrees clockwise = (x, y) → (y, -x) - This flips the x and y and makes the x negative

180 rotation = (x, y) → (-x, -y) This makes both x and y negative

Y-Axis reflection = (x, y) → (-x, y) This reflects your shape over the Y axis

X-Axis reflection = (x, y) → (x, -y) This reflects your shape over the X axis

Just follow the directions for the four different sets of steps listed until you find a shape that ends up exactly the same as the original one. Here’s an example:

Option 1 - T:

(-4 + 0, 3 - 4) → (-4, -1) → (-1, 4) → (1, 4)

If your think about it, it’s just like deciphering a code. It’s not hard once you get the hang of it and you have all the “keys”. Best of luck!

SmartStudent3245 SmartStudent3245 · Answer 2 · 2021-11-11T14:44:31+01:00

SmartStudent3245 SmartStudent3245

11-11-2021

Answer:

(x + 6, y + 0), 180° rotation, reflection over the x‐axis

Step-by-step explanation:

Answer Link