Zach cut out the shapes shown below.
Shape A is a rhombus, Shape B is a pentagon, Shape C is an isosceles trapezoid, Shape D is a four sided shape with round edges, Shape E is a trapezoid with two right angles, Shape F is a trapezoid with two right angles, Shape G is a rectangle, Shape H is a pentagon, Shape I is a triangle, Shape J is a square.
Use the dropdowns to show how many of the shapes ARE quadrilaterals and how many are NOT quadrilaterals.
of the shapes are quadrilaterals and
of the shapes are not quadrilaterals.
To determine the number of shapes that are quadrilaterals and the number of shapes that are not quadrilaterals, we need to classify each shape based on the definition of a quadrilateral.
A quadrilateral is a polygon with four sides. It is a general term that includes specific shapes such as squares, rectangles, rhombuses, trapezoids, and parallelograms.
Looking at the given shapes:
Shape A is a rhombus: A rhombus is a quadrilateral, so it is included in the count of shapes that are quadrilaterals.
Shape B is a pentagon: A pentagon has five sides, so it is not a quadrilateral as it does not have exactly four sides. It is included in the count of shapes that are not quadrilaterals.
Shape C is an isosceles trapezoid: A trapezoid is a quadrilateral, so it is included in the count of shapes that are quadrilaterals.
Shape D is a four-sided shape with round edges: Without additional information, it is difficult to classify this shape accurately. If it has four sides, it is a quadrilateral, but if it has more or fewer sides, it is not a quadrilateral. We cannot determine based on the given information whether it is a quadrilateral or not.
Shape E is a trapezoid with two right angles: A trapezoid can still be a quadrilateral even if it has two right angles. It is included in the count of shapes that are quadrilaterals.
Shape F is a trapezoid with two right angles: Similar to Shape E, this trapezoid is also a quadrilateral.
Shape G is a rectangle: A rectangle is a special type of quadrilateral, so it is included in the count of shapes that are quadrilaterals.
Shape H is a pentagon: As mentioned above, a pentagon is not a quadrilateral. It is included in the count of shapes that are not quadrilaterals.
Shape I is a triangle: A triangle is a polygon with three sides, so it is not a quadrilateral as it does not have exactly four sides. It is included in the count of shapes that are not quadrilaterals.
Shape J is a square: A square is a special type of quadrilateral, so it is included in the count of shapes that are quadrilaterals.
Based on the given information, the number of shapes that are quadrilaterals is 6, and the number of shapes that are not quadrilaterals is 4.