Question

which pairs of figures are congruent? which pairs are similar?

Explanation:

First pair:

• Congruent?
• Congruent figures have the same shape and size. The two rectangles have different sizes. So, the answer is No.
• Similar?
• Similar figures have the same shape. The two rectangles have the same shape (both are rectangles). So, the answer is Yes.

Second pair:

• Congruent?
• Congruent figures have the same shape and size. The two “T - like” figures have different sizes. So, the answer is No.
• Similar?
• Similar figures have the same shape. The two “T - like” figures have the same shape. So, the answer is Yes.

Third pair:

• Congruent?
• Congruent figures have the same shape and size. One is an ellipse and the other is a circle. Different shapes. So, the answer is No.
• Similar?
• Similar figures have the same shape. One is an ellipse and the other is a circle. Different shapes. So, the answer is No.

Fourth pair:

• Congruent?
• Congruent figures have the same shape and size. The two triangles have different sizes. So, the answer is No.
• Similar?
• Similar figures have the same shape. The two triangles have the same shape (both are right - angled triangles). So, the answer is Yes.

Answer:

First pair: Congruent? No; Similar? Yes.
Second pair: Congruent? No; Similar? Yes.
Third pair: Congruent? No; Similar? No.
Fourth pair: Congruent? No; Similar? Yes.