# Mid Point and Intercept Theorem RS Aggarwal ICSE Class-9th Goyal

**Mid Point and Intercept Theorem** RS Aggarwal ICSE Class-9th Mathematics Solutions Goyal Brothers Prakashan Chapter-9. We provide step by step Solutions of Exercise / lesson-9 **Mid Point and Intercept** Theorem for ICSE Class-9 RS Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-9 A to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics. it is used in solving geometry problems related to triangles. So let us study the midpoint theorem and equal intercept theorem in detail by solving RS Aggarwal Class-9 ICSE Maths Questions.

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 9th |

Chapter-9 | Mid Point and Intercept Theorem |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-9 and Questions to develop skill and confidence |

Academic Session | 2021-2022 |

**Mid Point and Intercept Theorem** RS Aggarwal ICSE Class-9th Mathematics Solutions Goyal Brothers Prakashan Chapter-9

### Mid Point Theorem

The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

### The converse of Mid Point Theorem

The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”.

### Equal Intercept Theorem

The theorem states if a transversal makes **equal intercepts** on three or more parallel lines, then any other line cutting them will also make **equal intercepts**. It means that given any three mutually perpendicular lines, a line passing through them forms intercepts in the corresponding ratio of the distances between the lines.

### Exercise – 9

**Mid Point and Intercept Theorem** RS Aggarwal ICSE Class-9th Mathematics Solutions

Page 116-118

Question 1

in the given figure D E F are the mid point of side BC CA and AB respectively

(i) if AB= 6.2 find DE

(ii) if DF= 3.8 find AC

(i) if Perimeter of ABC is 21 cm find FE

Question 2

In the figure, LMN is a right ……………………. LN = 15….

Question 3

……………………..

……………………..

…………………….

Question 10

In the adjoining figure .ABC is a right …………….. PA=PB=PC

Question 11

……………………

……………………

…………………….

Question 17

prove that straight line joining the mid points of opposite side of a quadrilateral bisect each other.

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