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:

• First pair (triangles):
• Congruent? No, because they have different sizes.
• Similar? Yes, because they have the same shape (both are triangles) and corresponding angles are equal (by AA similarity criterion for triangles).
• Second pair (squares):
• Congruent? No, because they have different sizes.
• Similar? Yes, because all squares are similar (all angles are \(90^{\circ}\) and the ratio of corresponding sides is constant).
• Third pair (T - shaped figures):
• Congruent? No, because they have different sizes.
• Similar? Yes, because they have the same shape (same number of sides and angles, and the ratio of corresponding sides is constant).
• Fourth pair (oval and circle):
• Congruent? No, because they have different shapes (an oval is not a circle).
• Similar? No, because a circle and an oval do not have the same shape (a circle has a constant radius, an oval has two different axes).

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