We have the following:
Congruent
Congruent figures have exactly the same size and shape.
Similar
Similar figures have the same angle measures but different side lengths.
After this, we proceed to answer.
- Figure 1 (rectangles)
Notice that the figures look the same, but one is smaller than the other. Since they are not the same size, they are not congruent. However, they have the same angles, so they are similar.
Answer:
Congruent: No
Similar: Yes
- Figure 2 (circles)
Figures are the same size and shape. Therefore, they are similar and congruent.
Answer:
Congruent: Yes
Similar: Yes
- Figure 3
Figures are the same size and shape. So, they are similar and congruent.
Answer:
Congruent: Yes
Similar: Yes
- Figure 4 (triangles)
The figures do not have the same shape, so they are not congruent or similar.
Answer:
Congruent: No
Similar: No