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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,
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