QUESTION IMAGE
Question
which pairs of figures are congruent? which pairs are similar? congruent? yes no similar? yes no congruent? yes no similar? yes no congruent? yes no similar? yes no congruent? yes no similar? yes no
First pair:
- Congruent?: Congruent figures have the same shape and size. One figure is a circle and the other is an ellipse. So, they are not congruent.
- Similar?: Similar figures have the same shape. A circle and an ellipse do not have the same shape. So, they are not similar.
Second pair:
- Congruent?: Congruent figures have the same shape and size. The two “T - shaped” figures have different sizes. So, they are not congruent.
- Similar?: Similar figures have the same shape. The two “T - shaped” figures have the same shape. So, they are similar.
Third pair:
- Congruent?: Congruent figures have the same shape and size. One is a right - angled triangle and the other is an isosceles triangle (by appearance, assuming side - angle - side differences). So, they are not congruent.
- Similar?: Similar figures have the same shape. The angles of the two triangles are not the same (assuming standard triangle properties from visual - one is right - angled and the other is not in a similar proportion). So, they are not similar.
Fourth pair:
- Congruent?: Congruent figures have the same shape and size. The two rectangles have different side - length ratios (one is more “squarish” and the other is more “elongated”). So, they are not congruent.
- Similar?: Similar figures have the same shape (i.e., same side - length ratios). The side - length ratios of the two rectangles are different. So, they are not similar.
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First pair: Congruent? No, Similar? No
Second pair: Congruent? No, Similar? Yes
Third pair: Congruent? No, Similar? No
Fourth pair: Congruent? No, Similar? No