Question

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

first pair of shapes (two rectangles):
congruent? yes no

second pair of shapes (circle and oval):
congruent? yes no

third pair of shapes (pentagon and trapezoid):
congruent? yes no

fourth pair of shapes (small triangle and large triangle):
congruent? yes no

Explanation:

Step1: Analyze first pair (rectangles)

Check if the two rectangles have same shape and size. They are rectangles, and by counting grid units (or visual check), their length and width are same (just rotated? No, one is horizontal, one vertical but dimensions same). So congruent (Yes).

Step2: Analyze second pair (circle and oval)

Circle and oval have different shapes (circle is round, oval is elongated). So not congruent (No).

Step3: Analyze third pair (pentagon and trapezoid)

Pentagon has 5 sides, trapezoid has 4 sides. Different number of sides, so not congruent (No).

Step4: Analyze fourth pair (two triangles)

One triangle is smaller, the other is larger. Different sizes, so not congruent (No).

Answer:

First pair: Yes; Second pair: No; Third pair: No; Fourth pair: No