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:

Step1: Recall the definitions

Congruent figures have the same shape and size. Similar figures have the same shape but not necessarily the same size.

Step2: Analyze the first pair (two squares)

They have the same shape (square) and size (as per grid - assume same side - length). So, they are congruent. Since congruent figures are a special case of similar figures (ratio of sides = 1), they are also similar.

Step3: Analyze the second pair (an ellipse and a circle)

An ellipse and a circle do not have the same shape. So, they are neither congruent nor similar.

Step4: Analyze the third pair (two triangles)

They have the same shape (triangle) but different sizes. So, they are similar but not congruent.

Step5: Analyze the fourth pair (two L - shaped figures)

They have the same shape (L - shape) and size (as per grid - assume same segment lengths). So, they are congruent. Since congruent figures are a special case of similar figures (ratio of sides = 1), they are also similar.

Answer:

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