That’s why a rectangle is always a parallelogram.Īll squares have four congruent sides. Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. The vertices join the adjacent sides at 90° angles, which means the opposite sides of the rectangle are parallel lines. Since rectangles are parallelograms, all rectangles have opposite sides congruent and parallel. If false, explain why.Īll parallelograms have opposite sides congruent and parallel. State whether the following statements are true or false. Therefore, we can say the square is a rhombus. Even, the diagonals of both square and rhombus are perpendicular to each other and bisect the opposite angles. Observe the following figure which shows the three types of parallelograms:Ĭircle the quadrilateral(s) that have all the attributes of a rhombus.Ī Square is a rhombus because like a rhombus, all the sides of a square are equal in length. Hence, a parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. – The sum of two adjacent angles is equal to 180 degrees.Ĭircle the quadrilateral(s) that have all the attributes of a parallelogram.Ī parallelogram is a special kind of quadrilateral that is formed by parallel lines. – Diagonals bisect the angles of a rhombus. – In a rhombus, diagonals bisect each other at right angles. – Opposite angles of a rhombus are equal. – The opposite sides of a rhombus are parallel. – The consecutive angles of a parallelogram should be supplementary (180°). – The sum of interior angles of a parallelogram is equal to 360°. – The opposite angles of a parallelogram are equal. – The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. The four most important attributes of a parallelogram are: – Diagonals of a square bisect each at right angles.ĭescribe the attributes of each quadrilateral. * A square is called a special kind of rectangle because it possesses some additional properties which do not apply to rectangles. – two diagonals that bisect each other and are equal. – opposite sides that are parallel and equal. – interior angles which measure 90 ∘ each. Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle. Tell why a square is a special kind of rectangle. Therefore, the quadrilateral is a rhombus. Then classify the quadrilateral based on its attributes. Describe the attributes of the quadrilateral. The design below is made up of a repeating quadrilateral. – Sum of all interior angles equal to 360 degrees – It’s a parallelogram with four right angles. – The area is equal to the product of its length and breadth – The perimeter is equal to twice of the sum of its length and breadth – The opposite sides are equal and parallel – Each vertex has an angle equal to 90 degrees The opposite sides of the quadrilateral are parallel and congruent. The opposite sides of the quadrilateral are _ and _. In parallelogram also opposite sides are congruent and parallel.ĭescribe the attributes of the quadrilateral below. The quadrilateral has opposite sides that are congruent and parallel The quadrilateral has opposite sides _ and _. Then classify it based on its attributes. One side of the Realia building in Madrid, Spain, is shown at the right Describe the attributes of the quadrilateral. Use the figures below to determine the missing attribute(s) of each type of quadrilateral.Ī square has all the attributes of a rectangle and a _.Ī square has all the attributes of a rectangle and a rhombus.Įxplanation: A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal in length). Trina cut out polygon mats to use for her travel photos. You can classify quadrilaterals using one or more of the following attributes like congruent sides, parallel sides, and right angles. McGraw-Hill My Math Grade 5 Answer Key Chapter 12 Lesson 5 Classify Quadrilaterals All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 12 Lesson 5 Classify Quadrilaterals will give you a clear idea of the concepts.
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