Question

ratios, proportions, and measurement
identifying congruent shapes on a grid
congruent?
yes
no
yes
no
congruent?
yes
no
yes
no

Explanation:

Step1: Analyze Top - Left Shapes

The top - left has two rectangles. A rectangle can be considered a type of quadrilateral with four right angles. The first rectangle (horizontal) and the second rectangle (vertical) have the same length and width (since on the grid, we can check the number of units they occupy). Congruent shapes have the same shape and size. So these two rectangles are congruent. So for the top - left, the answer is Yes.

Step2: Analyze Top - Right Shapes

The top - right has a circle and an oval. A circle is a set of points equidistant from a center, while an oval (ellipse - like) has a different shape (it is not a circle as the distance from the center to the edge varies). So their shapes are different, so they are not congruent. So for the top - right, the answer is No.

Step3: Analyze Bottom - Left Shapes

The bottom - left has a pentagon and a trapezoid. A pentagon has five sides, and a trapezoid has four sides. Their number of sides is different, so their shapes are different. So they are not congruent. So for the bottom - left, the answer is No.

Step4: Analyze Bottom - Right Shapes

The bottom - right has two triangles. The first triangle is small, and the second triangle is large. Congruent triangles must have the same size (same side lengths and same angles). Since one is smaller and one is larger, they are not congruent. So for the bottom - right, the answer is No.

Answer:

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