In a triangle ABC D is midpoint of BC AD is produced up to E so that DE AD Prove that i ABD and ECD are congruent ii ABEC iii AB is parallel to EC

Selina Solutions Class 9 Mathematics Solutions for Exercise 9(A) in Chapter 9 - Chapter 9- Triangles [Congruency in Triangles]

Question 4 Exercise 9(A)

In a triangle ABC, D is mid-point of BC; AD is produced up to E so that DE =

AD. Prove that:

(i) 𝚫 ABD and 𝚫 ECD are congruent.

(ii) AB=EC

(iii) AB is parallel to EC.

Answer:

Solution

Selina Solutions CONCISE Maths - Class 9 ICSE chapter Chapter 9- Triangles [Congruency in Triangles] Question 4 Solution image

Related Questions

Which of the following pairs of triangles are congruent? In each case, state thecondition of congrue...

The given figure shows a circle with center O. P is mid-point of chord AB.

The following figure shows a circle with center O.

A triangle ABC has ∠B=∠C.Prove that:(i) The perpendiculars from the mid-point of BC to AB and AC are...

The perpendicular bisector of the sides of a triangle AB meet at I.Prove that: IA=IB=IC.

A line segment AB is bisected at point P and through point P another linesegment PQ, which is perpen...

Was This helpful?

Exercises

Exercise 9(A)

Exercise 9(B)

Chapters

Chapter 1- Rational and Irrational Numbers

Chapter 2- Compound Interest [Without Using Formula

Chapter 3- Compound Interest [Using Formula

Chapter 4- Expansions

Chapter 5- Factorisation

Chapter 6- Simultaneous Equations

Chapter 7- Indices [exponents]

Chapter 8- Logarithms

Chapter 9- Triangles [Congruency in Triangles]

Chapter 10- Isosceles Triangle

Chapter 11- Inequalities

Chapter 12- Mid-Point and Its Converse

Chapter 13- Pythagoras Theorem

Chapter 14- Rectilinear Figures

Chapter 15- Construction of Polygons

Chapter 16- Area Theorems

Chapter 17- Circles

Chapter 18- Statistics

Chapter 19- Mean and Median

Chapter 20- Area and Perimeter of Plane Figures

Chapter 21- Solids

Chapter 22- Trigonometrical Ratios

Chapter 23- Trigonometrical Ratios of Standard Angles

Chapter 24- Solution Of Right Triangles

Chapter 25- Complementary angles

Chapter 26- Co-ordinate Geometry

Chapter 27- Graphical Solution

Chapter 28- Distance Formula