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

Explanation:

• Congruent: Congruent figures have the same shape and size.
• First pair: The two T - shaped figures are not the same size, so they are not congruent. But they have the same shape, so they are similar.
• Second pair: The two squares are not the same size (one is larger than the other), so they are not congruent. But all squares are similar as their angles are all \(90^{\circ}\) and the ratio of their corresponding sides is constant.
• Third pair: The two triangles are not the same size (one is larger than the other) and may not have the same angle measures (if they are not equilateral or some special - type triangles with known angle - side relationships), so they are not congruent. But if they have the same set of angle measures (by AA similarity criterion for triangles), they are similar.
• Fourth pair: An ellipse and a circle do not have the same shape (a circle is a special case of an ellipse with equal major and minor axes), so they are neither congruent nor similar.

Answer:

• First pair: Congruent? No, Similar? Yes
• Second pair: Congruent? No, Similar? Yes
• Third pair: Congruent? No, Similar? Yes
• Fourth pair: Congruent? No, Similar? No