So, add the three areas: 1 + 2 + 4 = 7 units2. By Theorem 1–10, the area of a region is the sum of the area of the nonoverlapping parts. The area A of the rectangle is bh = (2)(2) = 4. The area A of the triangle on the right is bh = (2)(2) = 2. The area A of the triangle on the left is bh = (1)(2) = 1. This forms two triangles and a rectangle between them. Draw two segments, one from M perpendicular to CB and the other from K perpendicular to CB. 1 2 1 2 1 2 Areas of Trapezoids, Rhombuses, and Kites Lesson 10-2 Check Skills You’ll Need Solutions 10-2Īreas of Trapezoids, Rhombuses, and Kites Lesson 10-2 Check Skills You’ll Need Solutions (continued) 4. By Theorem 1-10, the area of a region is the sum of the area of the nonoverlapping parts.
The area A of the rectangle is bh = (4)(2) = 8. The area A of the triangle is bh = (1)(2) = 1. Draw a segment from S perpendicular to UT. Check Skills You’ll Need 10-2ġ.A = bh 2.A = bh 3. Find the area of each trapezoid by using the formulas for area of a rectangle and area of a triangle. Areas of Trapezoids, Rhombuses, and Kites Lesson 10-2 Check Skills You’ll Need (For help, go to Lesson 10-1.) Write the formula for the area of each type of figure. So all other quadrilaterals are irregular.1. 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 diagonals, shown as dashed lines above, meet at.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. 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: 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). 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. 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. interior angles that add to 360 degrees:.(Also see this on Interactive Quadrilaterals) Properties
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