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  1. The video dives into the world of quadrilaterals, specifically focusing on kites. It explores how kites are defined by two pairs of adjacent, congruent sides. It also highlights that the diagonals of a kite intersect at a 90-degree angle, with one line bisecting the other. Created by Sal Khan.

    • 6 min
    • Sal Khan
  2. k12.libretexts.org › Bookshelves › Mathematics5.16: Kites - K12 LibreTexts

    Nov 28, 2020 · A kite is a quadrilateral with two distinct sets of adjacent congruent sides. It looks like a kite that flies in the air. From the definition, a kite could be concave. If a kite is concave, it is called a dart. The word distinct in the definition means that the two pairs of congruent sides have to be different.

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    • Introduction
    • Grade Appropriateness
    • Math Domain
    • Applicable Common CORE Standards
    • Definition
    • Key Concepts
    • Discussion with Illustrative Examples
    • Examples with Solutions
    • Real-Life Application with Solution
    • Practice Test

    A kite is a simple yet interesting quadrilateral shape often appearing in various mathematical problems and concepts. 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. We will cover grade appropriateness, math domain, common core standards, definition...

    Kites are generally introduced to students around 4th to 6th gradeas they start learning about different quadrilateral shapes and their properties. However, the complexity of problems involving kites can vary, making them relevant for students in higher grades.

    Kites belong to the domain of Geometry, specifically the subdomain of Quadrilaterals, which deals with studying different types of four-sided polygons.

    The concept of kites aligns with the following Common Core Standards: 4.G.A.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of anglesof a specified size. 5.G.B.3: Understand that attributes belonging to a category of two-dimensional figuresalso belong to all subcateg...

    A kite is a type of quadrilateral having two pairs of consecutive, non-overlapping sides that are congruent (equal in length). The vertices where the congruent sides meet are called the non-adjacent or opposite vertices. The figure below represents a kite.

    Diagonals: A kite’s diagonals are perpendicularto one another, and one diagonal is bisected by the other. Angles:The angles between the congruent sides of a kite are equal. Perimeter:The perimeter of a kite is the total or sum of all the lengths of the sides. Area:The area of a kite is one-half the product of its diagonals and can be calculated usi...

    Example 1 Consider a kite ABCD, with AB = BC and AD = CD. The diagonals AC and BD intersect at point E. Also, the diagonals are perpendicular, so ∠BEC = 90°. Example 2 In the kite ABCD, the angle between the congruent sides is equal, so ∠ABC = ∠ADC. Example 3 Find the perimeter of a kite with its pairs of equal sides as two and five units. Solution...

    Example 1 True or false The diagonals of a kite are always equal in length. Solution False; a kite’s two diagonals are not the same length. Example 2 Given a kite with diagonals 8 cm and 12 cm, calculate its area. Solution Area=½(diagonal 1)(diagonal 2) Area=½(8)(12) Area=½(96) Area=48 cm2 Therefore, the area of the kite is 48 cm2. Example 3 The le...

    A park is shaped like a kite with 100 meters and 60 meters diagonals. What is the area of the park? Solution The lengths of the diagonals are: diagonal 1=100 meters diagonal 2=60 meters Finding the area, we have, Area=½(diagonal 1)(diagonal 2) Area=½(100)(60) Area=½(6000) Area=3000 m2 Therefore, the area of the park is 3000 m2.

    A. Tell whether the following objects resemble a kite. B. Calculate the perimeter and area of the given kite.

  4. May 3, 2024 · A kite is a planar convex quadrilateral consisting of two adjacent sides of length a and the other two sides of length b. The rhombus is a special case of the kite, and the lozenge is a special case of the rhombus. The area of a kite is given by A=1/2pq, (1) where p = sqrt(a^2-h^2)+sqrt(b^2-h^2) (2) q = 2h (3) are the lengths of the polygon diagonals (which are perpendicular). The 120-90-60-90 ...

  5. Properties of Kite. Kites possess fascinating properties, including: Two Distinct Pairs of Sides: Kites have two pairs of adjacent sides, with each pair having the same length. These sides are often referred to as the “equal adjacent sides.”. Diagonals: The diagonals of a kite are not of equal length. One diagonal is longer than the other.

  6. www.mathsisfun.com › geometry › kiteKite - Math is Fun

    A Kite is a flat shape with straight sides. It has two pairs of equal-length adjacent (next to each other) sides. It often looks like a kite! Two pairs of sides. Each pair is two equal-length sides that are adjacent (they meet) The angles are equal where the two pairs meet. Diagonals (dashed lines) cross at right angles, and one of the ...

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