Question

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

Explanation:

Step1: Analyze first figure pair

Check congruence: The two triangles have different side lengths (one has legs of 2 and 3, the other has legs of 3 and 2? No, visually, their sizes differ, so not congruent. Check similarity: They are both right triangles, and their corresponding sides are proportional ($\frac{2}{3} = \frac{3}{2}$? No, wait, correct: the first triangle has vertical leg 3, horizontal leg 2; the second has vertical leg 2, horizontal leg 3. The ratios of corresponding sides are equal ($\frac{3}{2} = \frac{2}{3}$? No, wait, no—they are both right triangles with legs in ratio 3:2, so their angles are identical, so they are similar.

Step2: Analyze second figure pair

Check congruence: The two L-shapes have different sizes, so not congruent. Check similarity: The larger L-shape has side lengths scaled by a factor of 3 from the smaller one (each segment of the small shape is 1 unit, the large is 3 units), so corresponding sides are proportional, and angles are equal, so they are similar.

Answer:

First (Triangle) Pair:

Congruent? No
Similar? Yes

Second (L-shape) Pair:

Congruent? No
Similar? Yes