Looking at shape 9, I can see it's a quadrilateral with markings indicating that one pair of opposite sides are parallel (the single hash marks on the top and bottom). This is the definition of a trapezoid - a quadrilateral with exactly one pair of parallel sides.
Let me now examine shape 10.
Looking at shape 10, I can see it has four right angles (indicated by the small square markings in each corner) and all sides appear to be equal (indicated by the single hash marks on all four sides). This is a square - a special type of rectangle where all sides are equal.
Let me now examine shape 11.
Looking at shape 11, I can see it's a quadrilateral with markings indicating that opposite sides are equal in length (the single hash marks on the top and bottom, and the double hash marks on the left and right sides). This is the definition of a parallelogram - a quadrilateral with two pairs of parallel sides, which also means opposite sides are equal.
Let me now examine shape 12.
Looking at shape 12, I can see it's a quadrilateral with markings indicating that one pair of opposite sides are equal (the single hash marks on the top and bottom) and the other pair of opposite sides have different markings (double hash on left, single hash on right). This suggests it's a trapezoid, specifically an isosceles trapezoid if the non-parallel sides were equal, but here they're marked differently. Given the appearance and markings, this is most likely a trapezoid.
Based on my analysis of all 12 shapes:
1) Parallelogram - opposite sides are equal
2) Rectangle - four right angles, opposite sides equal
3) Trapezoid - appears to have one pair of parallel sides
4) Parallelogram - opposite sides are equal
5) Trapezoid - appears to have one pair of parallel sides
6) Trapezoid - one pair of opposite sides equal, other pair different
7) Square - four right angles, all sides equal
8) Parallelogram - opposite sides are equal
9) Trapezoid - one pair of parallel sides indicated
10) Square - four right angles, all sides equal
11) Parallelogram - opposite sides are equal
12) Trapezoid - one pair of opposite sides equal, other pair different
The solution to the problem is to identify each quadrilateral based on its geometric properties as shown by the markings in the image.
Parent Tip: Review the logic above to help your child master the concept of properties of quadrilateral worksheet.
