EUCLIDEAN GEOMETRY REVISITED                                                                                                       21 JULY 2014 
                                            Lesson Description 
                           In this lesson we: 
                                        Revise the Midpoint Theorem 
                                        Use properties of quadrilaterals/theorems to answer Geometry riders 
                                            Summary 
                                         
                           Mid-Point Theorem 
                           The line joining the mid-points of two sides of a triangle is parallel to the third side of the triangle and 
                           equal to half the length of the third side.  
                           Properties of special quadrilaterals must be understood and applied. 
                                             Test Yourself 
                                          
                           Question 1 
                           True or false: All rectangles are similar 
                           Question 2 
                           True or false: Any two right-angled triangles with equal hypotenuses are similar. 
                           Question 3 
                           Complete the statement; The diagonals of a rhombus are…. 
                           A)           perpendicular to each other 
                           B)           bisect both pairs of opposite angles 
                           C)           bisect each other 
                           D)           all of the above 
                           Question 4 
                           Complete the statement; A kite is a quadrilateral with… 
                           A)           adjacent sides parallel 
                           B)           one pair of adjacent angles equal 
                           C)           two pairs of adjacent sides equal 
                           D)           diagonals bisecting each other 
                           Question 5 
                           True or false:  The exterior angle of a triangle is equal to the interior opposite angle. 
                                                                                
                            
                            
                      
                                   Improve your Skills 
                                 
                     Question 1 
                     Given two right-angled triangles below, find x and y: 
                      
                      
                          15        35˚       y             25  
                      
                                                   x                    55˚ 
                                                  2x 
                                                    
                     Question 2 
                     In the diagram below PQ=PF, FG=QR and FGIIQR,