Question

ratios, proportions, and measurement
identifying congruent shapes on a grid

congruent? ○ yes ○ no ○ yes ○ no

congruent? ○ yes ○ no ○ yes ○ no

Explanation:

Step1: Analyze first pair (rectangle and square)

Congruent shapes have same shape and size. Rectangle and square differ in angles (rectangle has 90° but square has equal sides, here rectangle and square have different side ratios? Wait, no—wait, the first grid: top left is rectangle, bottom right is square? Wait, no, first cell: top shape is rectangle, bottom is square. Wait, no, first row first column: two shapes, rectangle and square. Wait, rectangle has length and width different, square has all sides equal. So their side lengths (if we count grid squares) – suppose rectangle is, say, 2x3, square is 3x3? No, wait, maybe count the grid. Wait, actually, congruent means same shape and size. Rectangle and square: different shapes (square is special rectangle but here, if rectangle has length ≠ width, square has length = width. So first pair: No.

Step2: Second pair (two circles)

Top circle is larger, bottom is smaller. Different sizes, so not congruent. So No.

Step3: Third pair (two triangles)

Left triangle is smaller, right is larger. Different sizes, so not congruent. No.

Step4: Fourth pair (two trapezoids)

Top trapezoid and bottom trapezoid: same shape (trapezoid) and same size (count grid squares: both have same height, same top and bottom bases? Let's check: top trapezoid and bottom trapezoid – same dimensions, so congruent. Yes.

Answer:

First pair: No; Second pair: No; Third pair: No; Fourth pair: Yes (with respective radio buttons selected as No, No, No, Yes for each "Congruent?" question)