Question

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1

Answer 1

Short answer: the final figure is a triangle A'B'C' that is similar (but not congruent) to triangle ABC, with all side lengths multiplied by the scale factor k (0 < k < 1). The composition reverses orientation (because of the reflection) and reduces size (because k < 1).

Details and consequences
- Reflection across line m is an isometry: it preserves distances and angles but reverses orientation.
- Dilation with scale factor k (0 < k < 1) about some center O multiplies all distances from O by k, preserves angles and parallelism, and preserves orientation (since k > 0).
- The composition (reflect, then dilate) therefore:
- Preserves all angle measures (so triangles are similar).
- Multiplies every side length by k, so corresponding sides are in ratio k.
- Multiplies area by k^2.
- Reverses orientation (overall effect is orientation-reversing).
- Produces A'B'C' that is similar to ABC; if you need the absolute position you must know the reflection line m, the dilation center O, and k.

If you want an explicit image (coordinates or a sketch), tell me the coordinates of A, B, C, the equation of line m, the dilation center, and the scale factor k — I’ll compute the coordinates of A', B', C' (or show steps).