In a Trapezium ABCD, E and F be the Midpoints of the diagonal's AC and BD respectively, the EF= | Class 9 | Midpoint theorem

 

L and M are the mid points of side AB and DC respectively of parallelogram ABCD. Prove that Segments DL and BM trisect diagonal AC. Class 9 | Midpoint Theorem | EX 11A question no 8

 

Class 9 | Midpoint Theorem | The line segment joining the midpoint of diagonals of a trapezium are parallel to the parallel side of trapezium and is equal to half of difference between the parallel sides. Prove it.

 

Class 9 Math Linear Equation, Midpoint Theorem, Pythagoras, Construction, Area and perimeter Written Test FM 25

 

Class 9 | Math Linear Equation, Midpoint Theorem, Pythagoras Theorem and Physics Sound Written Test FM 40

 

ANSWER  MATHS

1. 
The perimeter of a triangle ABC is 37cm and the ratio between the lengths of its altitudes be 6:5:4. Find the lengths of its sides.

3. 
A man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs. 1500 after 4 year of service and Rs. 1800 after 10 years of his service, what was his starting salary and what is the annual increment?

4. 
ABCD is a rhombus with P,Q,R as mid-points of AB, BC and CD. Prove that PQ⊥QR.

6.
Triangle ABC is right angled at B. Given that AB=9 cm, AC= 15 cm and D,E are the mid point of the Sides AB and AC respectively, Calculate (i) Th length of BC, (ii) The are of triangle ADE

7.
In triangle ABC, AD perpendicular to BC and AD2 =BD x CD.prove that triangle ABC is a right triangle

8.
If ABC is a right angled triangle in which angle A=90°, AD is perpendicular to BC and AB:AC=3:4 and AD=8, then BD=?

Class 9 | Midpoint Theorem | In parallelogram ABCD, E and F are mid point of the sides AB and CD respectively.The line segment AF and BF meet the line segment ED and EC at point G and H respectively prove that : (i) Triangle HEB and FHC are congruent (ii) GEHF is a parallelogram.

 

Class 9 | Midpoint Theorem | ABCD is a rhombus with P,Q,R as mid-points of AB, BC and CD. Prove that PQ⊥QR.

 

Class 9 | Mid point theorem | In triangle ABC, E is mid point of median AD and BE produced meets side AC at point Q. Show that BE : EQ = 3:1.

 

In the given figure M is the midpoint of AB and DE, whereas N is the midpoint of BC and DF. Show that EF= AC Class 9 | Midpoint Theorem

 

Class 9 CI , Factorization and Midpoint Theorem Test FM 30

 

Q3) 

Ankit Invest a certain some of money at 20% per annum compounded yearly, Geeta invest same amount of money at same rate per annum compounded half yearly. if Geeta get Rs. 33 more than Ankit at the end of 18 month. Find the amount of money They invested. Class 9 Compound interest

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus. Class 9 Mid point Theorem

 

In the triangle ABC, AD is perpendicular on the bisector of angle ABC. From the point D, a straight line DE parallel to the side BC is drawn which interests the side AC at the point E, Let us prove that AE=EC

 

If D,E,F are mid-points of the sides BC,CA and AB respectively of a △ABC, prove that AD and FE bisect each other.

 

ABCD is a parallelogram E is the mid point of CD and P is a point of AC such that PC=1/4 AC. EP produced meets BC at F. Prove that 1. F is mid point of BC and 2. 2EF=BD

 

Triangle ABC is right angled at B. Given that AB=9 cm, AC= 15 cm and D,E are the mid point of the Sides AB and AC respectively, Calculate (i) Th length of BC, (ii) The are of triangle ADE