Which of these triangle pairs can be mapped to each other using a single reflection?

Answer:

The correct answer should be **figure 1 **which is also attached in the solution.

Step-by-step explanation:

Reflection of any object is the mirror image of the object about any line or plane. Reflection always shows a congruent figure but inverted. In first figure, triangle EFG makes a mirror image as triangle FGL. Here, EG is equal to GL, EF is equal to FL and angle E is congruent to angle L. So, the figure obtained is congruent and inverted. Thus, triangles can be mapped to each other in single reflection in this image. Figure 2 shows two congruent triangles but the reflection is** not a mirror image** as it should be inverted. Figure 3 shows two congruent triangles but here they are aligned in a similar manner and not inverted. So, it is incorrect. Figure 4 has inverted and congruent triangles but the axis about which the image is taken doesn't match with them. While reflection, they will not overlap each other and hence, it is incorrect. Therefore, the correct answer should be **figure 1 **which is also attached in the solution.