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.

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

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

Answer

Ans 1 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 2

………LMN is a ……………..find

…………….

………………

Answer

Ans 2 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 3

………….D E F are ………………….ABCD is a parallelogram

Answer

Ans 3 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 4

if D E F are ……………. equilateral triangle

Answer

Ans 4 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 5

………….. ABCD is a quadrilateral ……………PQRS is a rhombus

Answer

Ans 5 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 6

……………… mid of BC

Answer

Ans 6 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 7

……. adjoining figure ……………kite prove that

(i) ……………….

(ii) ………………H bisect CB

Answer

Ans 7 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 8

…… ABCD is ……………….AB at F

Answer

Ans 8 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 9

……………. AD is median ………………AF= 1/3 of AC

Answer

Ans 9 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 10

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

Answer

Ans 10 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 11

show ………………….. rhombus

Answer

Ans 11 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 12

show that ………………….rectangle.

Answer

Ans 12 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 13

show ……………..square

Answer

Ans 13 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 14

In the adjoining figure  ABCD trapezium …………. MN= 1/2 (AB-CD)

Answer

Ans 14 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 15

In the adjoining figure …………….. mid of BC

Answer

Ans 15 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 16

two point …………………. CD = CE

Answer

Ans 16 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

Question 17

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

Answer

Ans 17 Exercise - 9 Mid Point and Intercept Thermos RS Aggarwal ICSE Class-9th Maths Goyal Brothers Prakashan

 

–: End of Mid Point and Intercept Theorem RS Aggarwal Solutions for ICSE Class-9  :–

 

Return to – RS Aggarwal Solutions for ICSE Class-9 Goyal Brothers Prakashan


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