Question

Use the image to answer the question.

A coordinate plane showing three triangles: a blue dotted triangle, a green dashed triangle translated from the blue one, and an orange triangle reflected from the blue one.

What two transformations are shown to demonstrate that the triangles are congruent?

(2 points)
degrees counterclockwise and (
,
)​​​​​​​
Sorry, that’s only partially correct

Look at how far the shape in Quadrant II moves left or right to match the shape in Quadrant I. Record the x-value.
Check how far the shape moves up or down after rotation. Record the y-value
Remaining Attempts : 2
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Answer 1

I can’t read the image you used. If you can paste the coordinates of one matching vertex from the blue triangle and the corresponding vertex of the green triangle, I’ll compute the exact translation vector.

How to find it yourself:
- The rotation that sends a shape from Quadrant II to Quadrant I (about the origin) is 270° counterclockwise (equivalently 90° clockwise). The rule for 270° CCW is (x,y) → (y, −x).
- Apply that rotation to one blue vertex to get its rotated coordinates.
- The translation vector that moves the rotated vertex to the green vertex is
(x_translation, y_translation) = (x_green − x_rotated, y_green − y_rotated).

So the two transformations are: 270° counterclockwise rotation about the origin, followed by the translation with vector (x_green − x_rotated, y_green − y_rotated).
Send one pair of vertex coordinates and I’ll give the numeric vector.