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 (triangles)

Two right - angled triangles. Check side lengths (by counting grid units). Both have same leg lengths (e.g., vertical and horizontal legs). So congruent. Choose Yes.

Step2: Analyze second pair (L - shaped figures)

One L - shape and its reflection/rotation? Check the number of grid units in each segment. The two L - shaped figures have same dimensions (e.g., length and width of each segment). So congruent. Choose Yes.

Step3: Analyze third pair (circles)

Two circles. Same radius (by counting grid units from center to edge). So congruent. Choose Yes.

Step4: Analyze fourth pair (rectangles)

Top rectangle and bottom rectangle. Check length and width. Top rectangle has smaller dimensions than bottom. So not congruent. Choose No.

Answer:

First pair (triangles): Yes; Second pair (L - shapes): Yes; Third pair (circles): Yes; Fourth pair (rectangles): No