Question

which pairs of figures are congruent? which pairs are similar? congruent? similar? congruent? similar? yes yes yes yes no no no no congruent? similar? congruent? similar? yes yes yes yes no no no no

Explanation:

Step1: Analyze the first pair of triangles

The first pair of triangles have different side - length ratios and angle measures. So, they are neither congruent (same shape and size) nor similar (same shape, proportional sides).

Step2: Analyze the second pair of L - shaped figures

The second pair of L - shaped figures have the same shape and size. So, they are congruent (and since congruent figures are a special case of similar figures with a scale factor of 1, they are also similar).

Step3: Analyze the third pair (circle and ellipse)

A circle and an ellipse have different shapes. A circle has all points at an equal distance from the center, while an ellipse has two different axes of symmetry. So, they are neither congruent nor similar.

Step4: Analyze the fourth pair of squares

The fourth pair of squares have the same shape (all angles are \(90^{\circ}\) and sides are in proportion) but different sizes. So, they are similar but not congruent.

Answer:

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