MEDIUM
9th Manipur Board
IMPORTANT
Earn 100

Prove that medians of an equilateral triangle are equal.

Important Questions on Triangles

MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 7
Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisects each other at O.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 8
Line segment AB is parallel to another equal line segment CD. O is the mid-point of AD. Prove that ∆AOB≅∆DOC.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 8
Line segment AB is parallel to another equal line segment CD. O is the midpoint of AD. Prove that O is also the midpoint of BC.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 9
In ∆ABC, the bisector AD of ∠A is perpendicular to side BC. Prove that ∆ABC is isosceles.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 10
P is a point equidistant from two lines l and m intersecting at a point A. Prove that the line AP bisects the angle between the lines. 
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 11
ABCD is a rectangle. P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. Prove that PQRS is a rhombus. 
HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 12
Prove that the diagonals of a rhombus bisect each other at right angles. 
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 7 - Triangles>EXERCISE 7.1>Q 13
ABCD is a parallelogram and AC is one of its diagonals. Prove that ∆ABC≅∆ADC.