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00:00 - 00:59 | hi students are question here is that show that the bisector of Vertical angle of an isosceles triangle bisects the base at right angles first thing that the bisector of Vertical angle Vertical angle is angle a right and it is given that it's an isosceles triangle so we can say that a b is equal to AC also if it is given that it's about that bisector of Vertical angle of an isosceles triangle so we can say that angle 1 is equal to angle to fit by S that divides it into two equal parts we can say that b a d is equal to that angle b is equal to angle BAC right reason reason that a Rite Aid is the bisector right HD is the bisector of angle t right Vertical angle angle A know if we talk about Triangle |

01:00 - 01:59 | a right and triangle ADC so we can say that ad is equal to write this is the common side also it is given that AB is equal to AC right as it's an isosceles triangle so we can say it is given also angle b is equal to angle BAC that we have proved above right so we can say that triangle ADB is congruent to triangle ADC by which criteria side angle side sobai SAS criteria these two Triangles are congruent to each other for we can say that corresponding parts of congruent Triangles are equal so we can say that BD is equal to DC reason cpct right by cpct in the question we have to prove that it bisect at right angles we have to that that |

02:00 - 02:59 | it is equal to CD also have to prove that bisectors at right angle means angle A TB is equal that angle ADB right is 90 degrees angle ADC is 90 degrees so we can see that if these two Triangles are congruent to each other so we can say that angle ADB is equal to angle ADC reason reason by cpct parts of congruent triangle now also we know that we BC is a straight line so we can say that the sum of two angles ADB + angle ADC is equal to 180 degrees right reason they are forming linear pair that forming the linear pair so we can say that angle ADB plus ADC these two angles are equal so we can say angle A + angle ADC can be written as single ADB is equal to 180 degrees so we can set voice of angle ADB device of angle ADB is equal to 180 degrees or we can say that angle |

03:00 - 03:59 | TB is equal to 180 / to which is 90 degrees if angle ADB is 90 degrees so we can say that ADC which is equal to angle ADB is also equal to 90 degrees so we have proved that bisects the right it bisects write the that the bisector of Vertical angle bisects BC at right angles right as these two angles are of 90° |

**Introduction**

**Congruence of line segments**

**Congruence of two angles**

**Congruence of two squares**

**Congruence of two rectangles**

**Congruence of two circles**

**Congruence of two triangles**

**THE SIDES-SIDES-SIDES (SSS) CONGRUENCE CONDITION Two triangles are congruent if the three sides of one triangle are respectively equal to the three sides of the other triangles.**

**SAS CONGRUENCE CONDITION Two triangles are congruent if two sides and the included angle of the one are respectively equal to the two sides and the included angle of the other.**

**ASA CONGRUENCE CONDITION Two triangles are congruent if two angles and the included side of the one are respectively equal to the two angles and the included sides of the other.**