What type of quadrilateral is XWZY? - Class 8 Chapter 4 Ganita Prakash - Trapezium

part 2 - Question 1 - Page 106 - Trapezium - Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash) - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
part 3 - Question 1 - Page 106 - Trapezium - Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash) - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)

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Question 1 - Page 106 What type of quadrilateral is XWZY?Since XW ∥ UV, It means XW ∥ YZ Now, For parallel lines XW and YZ With Transversal XY Sum of angles on same side of transversal is 180° a + ∠ XYZ = 180° Putting ∠ XYZ = 90° a + 90° = 180° a = 180° – 90° a = 90° Similarly, b = 90° Thus, all angles of XWZY are 90° And, XW = YZ YX = WZ Thus, in XWZY All angles are 90° Opposite sides are equal Therefore, XWZY is a rectangle

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