Question

identifying congruent shapes on a grid

first set of shapes (two rectangles):
congruent? yes (selected) / no

second set of shapes (two l - shaped figures):
congruent? yes (selected) / no

third set of shapes (two triangles, different sizes):
congruent? yes / no (selected)

fourth set of shapes (an oval and a circle):
congruent? yes / no (selected)

Explanation:

Step1: Analyze Top - Left Shapes

The two rectangles in the top - left grid: One is a horizontal rectangle and the other is a vertical rectangle, but they have the same length and width (since they are just rotated versions of each other and on a grid, we can check the number of grid units they occupy). So they are congruent, so the answer for this pair is "Yes".

Step2: Analyze Top - Right Shapes

The two "L" - shaped figures in the top - right grid: They have the same shape and size. We can check the number of grid units each side occupies, and they match. So they are congruent, answer is "Yes".

Step3: Analyze Bottom - Left Shapes

The two triangles in the bottom - left grid: One triangle is smaller (occupies fewer grid units) and the other is larger. So they are not congruent, answer is "No".

Step4: Analyze Bottom - Right Shapes

The top figure is an oval - like shape and the bottom is a circle. Their shapes are different (one is an ellipse - like and one is a circle), so they are not congruent, answer is "No".

Answer:

Top - Left: Yes; Top - Right: Yes; Bottom - Left: No; Bottom - Right: No