![]() So, the measure of \(\angle\) ABC is 75°. \(\angle\)ABC = \(\angle\) ADC The opposite angles of a parallelogram are equal \(\angle\)ADC = \(\angle\) BCD The base angles of an isosceles trapezoid are equalĮxample 3: Find the value of y if the given quadrilateral is a kite.ĪO = CO The longer diagonal bisects the other diagonalĮxample 4: Find the measure of \(\angle\) ABC if the given quadrilateral is a parallelogram.ĪBCD is a parallelogram, use the parallelogram opposite angles theorem. Let the playground which is a parallelogram be represented by ABCD ,ĪB = CD The opposite sides of a parallelogram are equalĮxample 2: Find the measure of \(\angle\) BCD if the quadrilateral ABCD is an isosceles trapezoid. One of its side 20 yards, as shown in the figure below. So all other quadrilaterals are irregular.Example 1: A playground is in the shape of a parallelogram. The only regular (all sides equal and all angles equal) quadrilateral is a square. and that's it for the special quadrilaterals. one of the diagonals bisects (cuts equally in half) the other.The word distinct in the definition means that the two pairs of congruent sides have to be different. If a kite is concave, it is called a dart. From the definition, a kite could be concave. It looks like a kite that flies in the air. ![]() the diagonals, shown as dashed lines above, meet at A kite is a quadrilateral with two distinct sets of adjacent congruent sides.The KiteĮach pair is made of two equal-length sides that join up. (the US and UK definitions are swapped over!)Īn Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles. ![]() The distance between the parallel sides is known as the altitude. The non-parallel sides are known as legs or lateral sides. The sides which are parallel to each other are termed the bases of the trapezoid. NOTE: Squares, Rectangles and Rhombuses are allĪ trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.Īnd a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides: A trapezoid is a four-sided closed shape or figure which cover some area and also has its perimeter. Also opposite anglesĪre equal (angles "A" are the same, and angles "B" The ParallelogramĪ parallelogram has opposite sides parallel and equal in length. In other words they "bisect" (cut in half) each other at right angles.Ī rhombus is sometimes called a rhomb or a diamond. The RhombusĪ rhombus is a four-sided shape where all sides have equal length (marked "s").Īlso opposite sides are parallel and opposite angles are equal.Īnother interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. The SquareĪ square has equal sides (marked "s") and every angle is a right angle (90°)Ī square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length). Trapezoid Isosceles Trapezoid Kite Making a Conjecture about Trapezoids Work with a partner. ![]() The little squares in each corner mean "right angle"Ī rectangle is a four-sided shape where every angle is a right angle (90°).Īlso opposite sides are parallel and of equal length. Section 7.5 Properties of Trapezoids and Kites 397 7.5 Properties of Trapezoids and Kites EEssential Questionssential Question What are some properties of trapezoids and kites Recall the types of quadrilaterals shown below. Let us look at each type in turn: The Rectangle Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. There are special types of quadrilateral: They should add to 360° Types of Quadrilaterals Try drawing a quadrilateral, and measure the angles.
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