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Converse of angle bisector theorem If in , point on side such that , then ray bisec/ . Property of three parallel lines and their transversals Activity: – Draw three parallel lines. – Label them as . – Draw transversals and . – and are intercepts on transversal . – and are intercepts on transversal . Fig. – Find ratios and . You will find that they are almost equal. Theorem : The ratio of the intercepts made on a transversal by three parallel lines is equal to the ratio of the corrosponding intercepts made on any other transversal by the same parallel lines. Given : line line line and are transversals. Transversal intersects the lines in points and intersects the lines in points , . To prove : Proof : Draw seg PC, which intersects line at point . In

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Question Text |
Converse of angle bisector theorem If in , point on side such that , then ray bisec/ . Property of three parallel lines and their transversals Activity: – Draw three parallel lines. – Label them as . – Draw transversals and . – and are intercepts on transversal . – and are intercepts on transversal . Fig. – Find ratios and . You will find that they are almost equal. Theorem : The ratio of the intercepts made on a transversal by three parallel lines is equal to the ratio of the corrosponding intercepts made on any other transversal by the same parallel lines. Given : line line line and are transversals. Transversal intersects the lines in points and intersects the lines in points , . To prove : Proof : Draw seg PC, which intersects line at point . In |

Updated On | Feb 11, 2023 |

Topic | All topics |

Subject | Mathematics |

Class | Class 10 |

Answer Type | Video solution: 1 |

Upvotes | 79 |

Avg. Video Duration | 10 min |