Scribd
Upload
7 views5 pages

Date:: Vidya Mandir at Estancia Triangles Class 9

The document contains a series of geometry problems and proofs related to triangles, parallelograms, and congruence. It includes tasks such as proving properties of segments, angles, and relationships in various geometric shapes. Each question requires a demonstration of understanding geometric principles and theorems.

Uploaded by

balajitk.2009
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
7 views5 pages

Date:: Vidya Mandir at Estancia Triangles Class 9

The document contains a series of geometry problems and proofs related to triangles, parallelograms, and congruence. It includes tasks such as proving properties of segments, angles, and relationships in various geometric shapes. Each question requires a demonstration of understanding geometric principles and theorems.

Uploaded by

balajitk.2009
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 5

Vidya Mandir @ Estancia

Triangles
Class 9
Name :
Date :

Question: 1
In the given figure, AB is a line segment and P is its midpoint.
D and E are points on the same side of AB such that

Prove that

i)
ii) AD = BE

Question: 2
In the given figure, AC = AE, AB = AD and Prove that BC = DE.

Question: 3
ABCD is a square. P is a point on BC and Q is a point on AB such that AP = DQ. Prove that AP is perpendicular
to DQ.

Question: 4
In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ. Show that

Question: 5
Prove that the circle drawn with any one of the equal sides of an isosceles triangle as diameter bisects the base of
the triangle.

Question: 6
ABCD is a parallelogram, E and F are mid-points of AB and CD, respectively, Prove that AC bisects EF.

Question: 7

Given List out the conditions for them to be congruent and by what test they are congruent.

Question: 8
In AB = BC and AD = EC. Prove that

Question: 9
ABCD is a rectangle and DEC is an equilateral triangle. Given

State the axiom by which the given triangles are congruent with proper reason.

Question: 10
Find the value of x and all the three angles of a triangle, if its angles are (2x + 7)°, (2x – 25)° and (3x – 12)°.

Question: 11
If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

Question: 12
In AB = AC, The internal bisector of meets AB at D. Prove that AD = DC.

Question: 13
In the bisectors of and intersect each other at O. Prove that

Question: 14
In DA = DB = DC. Show that

Question: 15
In the figure, find the value of x.

Question: 16
Find the value of x, y and z from the given figure.
Question: 17
The sides AB and AC of are produced to E and D respectively. If the bisectors BO and CO of
respectively meet at point O, prove that

Question: 18
In the given picture, AD is a median of the ∆ABC, E is the mid point of AD and ? || DG || BF || M.
(a) Is FG = GC? Why?
(b) Is AF = FG? Why?
(c) If AC = 4.5 cm, find AF.

Question: 19
In the given picture, if AB = FE, BC = ED, then prove that AD = FC.
Question: 20
In the given picture, ∆ABC is an isosceles triangle with AB = AC and AD bisects the exterior angle A. Prove that
AD || BC.

You might also like