Sherry designed the logo for a new company, made up of 3 congruent kites. List two possibilities for the length of the diagonals, based on your answer from #14.parallelograms, trapezoid, and kite geometry worksheet. What would the product of the diagonals have to be for the area to be \(54\: units^2\)? More worksheets and practices for teachers to be given to their students.List two possibilities for the length of the diagonals, based on your answer from #12.įor Questions 14 and 15, the area of a kite is \(54\: units^2\).What would the product of the diagonals have to be for the area to be \(32 units^2\)?. Round your answers to the nearest hundredth.įor Questions 12 and 13, the area of a rhombus is \(32\: units^2\). Round your answers to the nearest hundredth.įind the area and perimeter of the following shapes. Do you think all rhombi and kites with the same diagonal lengths have the same area? Explain your answer.įind the area of the following shapes.What if you were given a kite or a rhombus and the size of its two diagonals? How could you find the total distance around the kite or rhombus and the amount of space it takes up? Real-life Application with SolutionĪ park is shaped like a kite with 100 meters and 60 meters diagonals.\) Hence, the perimeter of the kite is 16 ft. A kite has two pairs of adjacent equal sides, then the length of the fourth side is 5 ft. The opposite angles are of equal measure. The Properties of a Parallelogram The opposite sides are of equal length in a parallelogram. The lengths of a kite’s three sides are three ft., 5 ft, and 3 ft.Ī. What is a Kite The Properties of a Kite Solved Examples Frequently Asked Questions What is a Parallelogram A parallelogram is a quadrilateral with both pairs of opposite sides that are parallel. Therefore, the area of the kite is 48 cm 2. Given a kite with diagonals 8 cm and 12 cm, calculate its area. The diagonals of a kite are always equal in length.įalse a kite’s two diagonals are not the same length. Therefore, the area of the kite is 16 square units. The figure below represents a kite.Ī kite’s area is equal to half of the product of its diagonals. The vertices where the congruent sides meet are called the non-adjacent or opposite vertices. DefinitionĪ kite is a type of quadrilateral having two pairs of consecutive, non-overlapping sides that are congruent (equal in length). The concept of kites aligns with the following Common Core Standards:Ĥ.G.A.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.ĥ.G.B.3: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.Ħ.G.A.1: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing them into rectangles or decomposing them into triangles and other shapes. Kites belong to the domain of Geometry, specifically the subdomain of Quadrilaterals, which deals with studying different types of four-sided polygons. However, the complexity of problems involving kites can vary, making them relevant for students in higher grades. Kites are generally introduced to students around 4th to 6th grade as they start learning about different quadrilateral shapes and their properties. We will cover grade appropriateness, math domain, common core standards, definition, key concepts, illustrative examples, real-life applications, practice tests, and FAQs related to kites. This article is designed to give students an in-depth understanding of kites, their properties, and how they can be applied to real-life situations.
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