Question

which pairs of figures are congruent? which pairs are similar? table with four figure pairs, each with congruent? yes/no and similar? yes/no options

Explanation:

First Pair (Triangles)

Step1: Check Congruence

Congruent figures have same shape and size. The two triangles have different shapes (one is more "stretched" than the other), so not congruent.

Step2: Check Similarity

Similar figures have same shape (proportional sides, equal angles). These triangles don't have same shape, so not similar.

Second Pair (L - Shapes)

Step1: Check Congruence

Congruent figures must have same size. The two L - shapes are different sizes, so not congruent.

Step2: Check Similarity

Similar figures have same shape (proportional sides, same angles). The two L - shapes have the same shape (the smaller one is a scaled - down version of the larger one), so they are similar.

Third Pair (Circle and Ellipse)

Step1: Check Congruence

A circle and an ellipse have different shapes, so not congruent.

Step2: Check Similarity

Similar figures need same shape. A circle (all points equidistant from center) and an ellipse (different distances) have different shapes, so not similar.

Fourth Pair (Rectangles)

Answer:

• First Pair: Congruent? No; Similar? No
• Second Pair: Congruent? No; Similar? Yes
• Third Pair: Congruent? No; Similar? No
• Fourth Pair: Congruent? No; Similar? No