Question

Hellllllpppppppppppppppp Meeeeeeee Plz

1. Given Triangle ABC with A(2, 3), B(0, 6), and C(2,6). Write down the coordinates of the image after the following composition; reflection over the line y = -x followed by a rotation of 90 degrees clockwise.

A"( - 3, 2), B"( - 6, 0), and C"( - 6, 2)
(I don't get number 2-4)
2. Given triangle ABC with A(2, 3), B(0, 6), and C(2,6). Determine if the image A"B"C" is congruent to it's pre-image ABC after the following transformation; dilation of scale factor 1, rotation about the origin of 180 degrees, and a reflection over the line y = -1. Explain your answer.

3. Given triangle ABC with A(2, 3), B(0, 6), and C(2,6). Identify the coordinates of A'B'C' after a dilation centered at the origin having a scale factor of 2.


4. Triangle ABC with A(2, 3), B(0, 6), and C(2,6). Find the area of triangle ABC and its image after a reflection in the origin. What do you notice about the area of the image and its pre-image? Explain

Answer 1

Explanation:

For #1 and #2 you already have solutions.

#3. A(2, 3), B(0, 6) and C(2,6)

A'(4, 6), B'(0, 12) and C'(4,12)

#4.

`A_(ABC)` = 3 × 2 ÷ 2 = 3 units²

ΔABC ≅ ΔA'B'C' ⇒
`A_(A'B'C')` = 3 units²