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1 Lesson Plan #53 Date: Thursday January 19th, 2017 Class: Geometry Topic: Rhombus Aim: What are some properties of rhombi? Objectives: 1) Students will know the properties of a rhombus. 2) Students will be able to use the properties of a rhombus. 3) Students will be able to prove that a quadrilateral is a rhombus. HW #53: Do Now: 1) Identify the figure at right. 2) What is the definition of the figure at right? As a result, it has all the properties of a parallelogram such as Opposite sides parallel Opposite sides congruent A diagonal divides it into two congruent triangles Opposite angles are congruent Consecutive angles are supplementary The diagonals bisect each other. What 3 other properties do you notice in this figure? 1. 2. 3. PROCEDURE: Write the Aim and Do Now Get students working! Take attendance Give Back HW Collect HW Go over the Do Now Assignment #1: Let’s see how we can construct a rhombus. http://www.glencoe.com/sites/texas/student/mathematics/assets/animation/ge ometry/GEOMCIM6-5.swf Properties of a Rhombus: 1) A rhombus has all the properties of a parallelogram 2) A rhombus is equilateral 3) The diagonals of a rhombus are perpendicular to each other 4) The diagonals of a rhombus bisect its angles. Methods to prove a quadrilateral is a rhombus: 1) The quadrilateral is a parallelogram with two congruent consecutive sides. 2) The quadrilateral is equilateral. 3) The quadrilateral is a parallelogram whose diagonals are perpendicular to each other. 4) The quadrilateral is a parallelogram, and a diagonal bisects the angles whose vertices it joins. 2 Online Interactive Activity : Let’s go to http://www.mathopenref.com/rhombus.html and see how we can make different rhombi, but they all still have the properties of a rhombus. Online Interactive Activity : Let’s go the math warehouse and practice using the properties of a rhombus http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/rhombus.php Examples: Sample Test Questions: 1) 2) 3) 4) 3 On Your Own: 12) In rhombus ABOL shown at right, diagonal BL is drawn, H and S are points LO , respectively, and HS intersects BL at I. o o If m A 122 , and m HIB 18 , find m ISO . on AB and 4 If enough time: 1) 2) 3) 4) 5) 5 6) 7) 6 8)