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If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel

The transversal  A D  intersects the two lines  P Q  and  R S  at points  B  and  C  respectively.  B E  is the bisector of  ∠ A B Q  and  C F  is the bisector of  ∠ B C S . As,  B E  is the bisector of  ∠ A B Q , then, ∠ A B E = 2 1 ​ ∠ A B Q In the same way, ∠ B C F = 2 1 ​ ∠ B C S Since BE and CF are parallel and AD is the transversal, therefore, by corresponding angle axiom, ∠ A B E = ∠ B C F 2 1 ​ ∠ A B Q = 2 1 ​ ∠ B C S ∠ A B Q = ∠ B C S Therefore, by the converse of corresponding angle axiom, P Q ∥ R S .

Asia Cup

Asia Cup Asia Cup 2022 Tickets UAE: The Asian Cricket Council  Asia Cup  is a men’s One Day International and Twenty20 International cricket tournament. It was established in 1983. A total of 6 teams will be participating in Asia Cup 2022. The 5 confirmed teams are India, Pakistan, Sri Lanka, Bangladesh, and Afghanistan. Asia Cup 2022 Ticket Price The ticket prices for Asia Cup 2022 matches start at a modest AED 35 in Dubai and AED 20 in Abu Dhabi & Sharjah but can be higher based on the game and type of ticket. For instance, the tickets for India Vs Pakistan matches start at a higher AED 150. You can buy the Asia Cup 2022 tickets online or at the stadium in  Dubai International Stadium ,  Sharjah Cricket Stadium ,  Sheikh Zayed Cricket Stadium . How To Book Asia Cup 2022 Tickets Procedure for booking online tickets:  Fans will be able to book their online tickets on  Platinumlist.net  portal, and no need to colle...

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Reaching The Age Of Adolescence

Multiple  Choice  Questions:   1.  Put  a  tick  mark  (✓)  against  the  correct  alternative  in  the  following  statements:  (a)  Cortisone  hormone  is  secreted  by:  1.  Medulla  of  adrenal  2.  Cortex  of  adrenal  3.  Pancreas 4.  Thyroid  (b)  Which  one  of  the  following  hormones  stimulates  the  breakdown  of  glycogen in  the  liver  into  glucose:  1.  Insulin  2.  Adrenaline  3.  Glucagon  4.  Thyroxine  (c)  Which  one  of  the  following  hormones  converts  excess  of  glucose  into glycogen:  1.  Glucagon  2.  Thyroxine  3.  Insulin  4.  Adrenaline  (d)  Which  one...

Introduction To Graphs Class 8 Notes- Chapter 15

  Introduction To Graphs  Class 8 Notes-  Chapter 15 What are the different types of Graphical Representation of Data? Graphical methods used to present data is very efficient in organizing the data and understand them. There are various graphical methods which are mentioned below: While comparing among categories, the method which is appropriate is the bar graph. While comparing parts of a whole, pie-chart is the ideal method. When data is provided in intervals, a histogram can be used for easier understanding. In the case of the data changing continuously over a period of time, a line graph will be useful When an unbroken line is represented, it is done with the help of a linear graph Introduction to Graphs Graphs  are  visual representation of data collected . It’s purpose is to show numerical data in physical form so that it can be understood quickly, easily and clearly. Bar Graphs Bar Graph A  bar graph  is used to show  comparison ...