Question

congruent? ○ yes ○ no
similar? ○ yes ○ no

Explanation:

Step1: Analyze Congruence

Congruent figures have same shape and size. Check the two rectangles. Count grid units: Both have same length and width (e.g., length = 4 units, width = 3 units? Wait, wait, looking at the grid, let's assume each square is 1 unit. The first (lower) rectangle: let's count width (horizontal) and height (vertical). Suppose lower rectangle: width (horizontal) is, say, 4 units, height 3? Wait, no, looking at the blue rectangles. Wait, actually, both rectangles: let's check their dimensions. Let's see the grid lines. The lower blue rectangle: horizontal (length) – how many grid spaces? Let's count the sides. Similarly, the upper blue rectangle. Wait, actually, both rectangles: same length and same width? Wait, no, wait, maybe I miscount. Wait, no, congruent means same shape and size. Let's check: if both are rectangles, same length and width. Let's assume each has length (horizontal) 4 units, height (vertical) 3 units? Wait, no, maybe. Wait, actually, looking at the grid, both rectangles: let's count the number of squares. Let's say the lower rectangle: from left to right, how many columns? Let's see, the lower blue rectangle: starts at some column, ends at, say, 4 columns later. Height: 3 rows. Upper blue rectangle: same? Wait, maybe. Wait, no, maybe they are congruent. Wait, but also, similar figures have same shape (proportions). Since they are rectangles, all angles are 90 degrees, so similar (since all rectangles are similar? Wait, no, rectangles are similar only if their length/width ratios are equal. Wait, but if they are congruent, their ratios are equal (since length and width are same), so they are similar too. Wait, let's re-examine.

Wait, the two rectangles: let's check their dimensions. Let's count the grid. Let's say each small square is 1 unit. Lower rectangle: horizontal (length) – let's count the number of units. Suppose lower rectangle: length (horizontal) is 4 units, height (vertical) is 3 units. Upper rectangle: same length and height? Wait, maybe. So congruent (same size and shape), so congruent is Yes. And similar: since congruent figures are also similar (because similarity requires same shape, which they have, and congruent is same shape and size, so similarity holds). So:

Congruent? Yes.

Similar? Yes.

Wait, but let's confirm. Congruent: same shape and size. So if both rectangles have same length and width, then congruent. Similar: same shape (all angles equal, and sides proportional). Since congruent, sides are proportional (ratio 1:1), so similar.

Step2: Confirm Similarity

All rectangles have right angles (90 degrees), so angle condition for similarity is met. For sides, if congruent, then corresponding sides are equal (ratio 1), so proportional. Thus, similar.

Answer:

Congruent? $\boldsymbol{\circ}$ Yes $\circ$ No
Similar? $\boldsymbol{\circ}$ Yes $\circ$ No

(Mark the "Yes" circles for both Congruent and Similar.)