Question

The figure shows triangle MNO and some of its transformed images on a coordinate grid:



M8 PT 1 mod.jpg



Which of the triangles was formed by a translation of triangle MNO?







Reference

Translation: Moving a figure vertically (up/down), horizontally (left/right), or both directions without turning it or changing the size; a slide.

Group of answer choices

A

D

B

Answer 1

I can't see the image you mean. Could you either attach the figure or give the coordinates of M, N, O and of the vertices of triangles A, B, and D?

Meanwhile, here is a quick way you can check which triangle is a translation of triangle MNO:

1. Find coordinates:
- Write down the coordinates of M, N, O.
- Write down the coordinates of the three vertices of triangle A (or the ones labeled for A), then do the same for B and D.

2. Compute the translation vector for each candidate:
- For a candidate triangle, pick one pair of corresponding vertices (for example M and the vertex that corresponds to M in the candidate) and compute the vector v = (x_candidate − x_M, y_candidate − y_M).
- Apply that same vector v to N and O: compute (x_N + v_x, y_N + v_y) and (x_O + v_x, y_O + v_y).

3. Decide:
- If those results match exactly the coordinates of the other two vertices of the candidate triangle, then that triangle is a translation of MNO.
- If they do not match (or if orientation is reversed or lengths changed), then it's not a translation.

Notes:
- A translation preserves shape, size, and orientation (no rotation or reflection).
- So another quick visual check: the triangle formed by sliding MNO straight across the grid (same orientation, same side slopes) is the translated one.

If you post the image or the coordinates, I’ll do the checks and tell you which choice (A, B, or D) is correct.