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 (
,
)​​​​​​​
Remaining Attempts : 3
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Answer 1

I don't have the image — could you upload it or tell me the coordinates of the triangle vertices?

If you want to find the two transformations yourself, here are the steps:

- To get the translation vector (the ( , ) blank): pick one vertex of the blue triangle and the corresponding vertex of the green triangle, then subtract coordinates: translation = (x_green − x_blue, y_green − y_blue).

- To get the rotation angle (the "___ degrees counterclockwise" blank): pick a vertex of the blue triangle and its corresponding vertex in the orange triangle and the center of rotation (often the origin). Compute the angle from the vector from the center to the blue vertex to the vector from the center to the orange vertex. The CCW angle from the first vector to the second (0°, 90°, 180°, or 270°) is the rotation.

Send the picture or the vertex coordinates and I’ll compute the exact answers.