Question

Angle M' is the result of its pre-image, angle
sliding horizontally in a
direction and vertically in a
direction.

Answer 1

I’m missing the picture or the coordinates, so I can’t give the specific directions yet. Here’s how to find and state them:

1. Identify one point on the pre-image and the corresponding point on the image (usually the vertex of the angle is easiest). Let the pre-image point be (x, y) and the image point be (x′, y′).

2. Compute the horizontal shift h = x′ − x.
- If h > 0 the angle moved h units to the right.
- If h < 0 it moved |h| units to the left.

3. Compute the vertical shift k = y′ − y.
- If k > 0 the angle moved k units up.
- If k < 0 it moved |k| units down.

4. You can state the translation as “translated h units [right/left] and k units [up/down]” or as the vector (h, k).

Example: pre-image vertex (2, 1), image vertex (5, −3):
- h = 5 − 2 = 3 → 3 units right
- k = −3 − 1 = −4 → 4 units down
So: “translated 3 units right and 4 units down” (or by vector (3, −4)).

If you post the coordinates or the diagram, I’ll compute the exact horizontal and vertical directions.