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
Question 2
………LMN is a ……………..find
…………….
………………
Answer
Question 3
………….D E F are ………………….ABCD is a parallelogram
Answer
Question 4
if D E F are ……………. equilateral triangle
Answer
Question 5
………….. ABCD is a quadrilateral ……………PQRS is a rhombus
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Question 6
……………… mid of BC
Answer
Question 7
……. adjoining figure ……………kite prove that
(i) ……………….
(ii) ………………H bisect CB
Answer
Question 8
…… ABCD is ……………….AB at F
Answer
Question 9
……………. AD is median ………………AF= 1/3 of AC
Answer
Question 10
In the adjoining figure .ABC is a right …………….. PA=PB=PC
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Question 11
show ………………….. rhombus
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Question 12
show that ………………….rectangle.
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Question 13
show ……………..square
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Question 14
In the adjoining figure ABCD trapezium …………. MN= 1/2 (AB-CD)
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Question 15
In the adjoining figure …………….. mid of BC
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Question 16
two point …………………. CD = CE
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Question 17
prove that straight line joining the mid points of opposite side of a quadrilateral bisect each other.
Answer
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