# Assignments For Class 9 Mathematics Triangles

Assignments for Class 9 Mathematics Triangles have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics Triangles from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics Triangles. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Triangles book and get good marks in class 9 exams.

#### Key Concepts for Class 9 Mathematics Triangles

• Triangle – A closed figure formed by three intersecting lines is called a triangle. A triangle has three sides, three angles and three vertices.
• Congruent figures – Congruent means equal in all respects or figures whose shapes and sizes are both the same for example, two circles of the same radii are congruent. Also two squares of the same sides are congruent.
Congruent Triangles – two triangles are congruent if and only if one of them can be made to superpose on the other, so as to cover it exactly.
If two triangles ABC and PQR are congruent under the correspondence A ↔ p, B ↔ and C ↔ R then symbolically, it is expressed as ΔABC ≅ PQR

In congruent triangles corresponding parts are equal and we write ‘CPCT’ for corresponding parts of congruent triangles.
• SAS congruency rule – Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle. For example ΔABC and ΔPQR as shown in the figure satisfy SAS congruent criterion.

• ASA Congruence Rule – Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle. For examples ΔABC and ΔDEF shown below satisfy ASA congruence criterion.

AAS Congruence Rule – Two triangle are congruent if any two pairs of angles and one pair of corresponding sides are equal for example ΔABC and ΔDEF shown below satisfy AAS congruence criterion.

AAS criterion for congruence of triangles is a particular case of ASA criterion.
Isosceles Triangle – A triangle in which two sides are equal is called an isosceles triangle. For example ΔABC shown below is an isosceles triangle with AB = AC.

Angle opposite to equal sides of a triangle are equal.

Sides opposite to equal angles of a triangle are equal.
Each angle of an equilateral triangle is 600.
SSS congruence Rule – If three sides of one triangle are equal to the three sides of another triangle then the two triangles are congruent for example ΔABC and ΔDEF as shown in the figure satisfy SSS congruence criterion.

• RHS Congruence Rule – If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle then the two triangle are congruent. For example ΔABC and PQR shown below satisfy RHS congruence criterion.

RHS stands for right angle – Hypotenuse side.

A point equidistant from two given points lies on the perpendicular bisector of the line segment joining the two points and its converse.
A point equidistant from two intersecting lines lies on the bisectors of the angles formed by the two lines.
In a triangle, angle opposite to the longer side is larger (greater)
In a triangle, side opposite to the large (greater) angle is longer.
Sum of any two sides of a triangle is greater than the third side.

#### Class 9 Mathematics Triangles Important Questions and Answers

Question. In Δ PQR, if ∠R > ∠Q then
(a) QR > PR
(b) PQ > PR
(c) PQ < PR
(d) QR < PR

Ans.

b

Question. In the given figure, if OA=OB, OD=OC then Δ AOD ≅ Δ BOC by congruence rule.
(a) SSS
(b) ASA
(c) SAS
(d) RHS

Ans.

c

Question. Which of the following is not a criterion for congruence of triangles?
(a) SAS
(b) SSA
(c) ASA
(d) SSS

Ans.

b

Question. In the figure if PQ=PR and ∠P = 800, then measure of Q is
(a) 1000
(b) 500
(c) 800
(d) 400

Ans.

b

Question. In the figure, if ΔABC ≅ ΔCDA, the property of congruence is
(a) SSS
(b) SAS
(c) RHS
(d) ASA

Ans.

c

Question. If ΔPQR ≅ ΔEFD, then, ∠E =
(a) ∠P
(b) ∠Q
(c) ∠R
(d) None of these

Ans.

a

Question. ΔABC ≅ ΔDEF and if AB = 3 = DE and BC = EF = 4 then necessary condition is
(a) ∠A = ∠D
(b) ∠B = ∠E
(c) ∠C = ∠F
(d) CA = FD

Ans.

b

Question. It is not possible to construct a triangle when its sides are
(a) 8.3cm, 3.4cm, 6.1cm
(b) 5.4cm, 2.3cm, 3.1cm
(c) 6cm, 7cm, 10cm
(d) 3cm, 5cm, 5cm

Ans.

b

Question. If AB=QR, BC=PR and CA=PQ then
(a) ΔABC ≅ ΔPQR
(b) ΔBAC ≅ ΔPRQ
(c) ΔBAC ≅ ΔRPQ
(d) ΔPQR ≅ ΔBCA

Ans.

b

Question. In a , ΔABC, if AB=AC and BC is produced to D such that ∠ACD = 1000 then ∠A
(a) 200
(b) 400
(c) 600
(d) 800

Ans.

a

Question. In the figure ΔABC ≅ ΔADC if ∠ACB = 250 and ∠B = 1250, then ∠CAD is
(a) 250
(b) 650
(c) 300
(d) 750

Ans.

c

Question. In the figure AB=AC and ∠ACD = 1200 find ∠A

Ans.

600

Question. If ΔPQR ≅ ΔEFD, then ED =
(a) PQ
(b) QR
(c) PR
(d) None of these

Ans.

c

Question. In a ΔABC if ∠A = 450 and ∠B = 700 determine the shortest and largest sides of the triangle

Ans.

BC, AC

## Assignments for Class 9 Mathematics Triangles as per CBSE NCERT pattern

Some advantages of Free Assignments for Class 9 Mathematics Triangles

1. Solving Assignments for Mathematics Triangles Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
2. By solving one assignments given in your class by Mathematics Triangles teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
3. You will be able to understand the type of questions which are expected in your Mathematics Triangles class test
4. You will be able to revise all topics given in the ebook for Class 9 Mathematics Triangles as all questions have been provided in the question banks
5. NCERT Class 9 Mathematics Triangles Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
6. Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 Mathematics Triangles teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Mathematics Triangles Assignments PDF.

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I want free printable assignments with questions and answers for Mathematics Triangles for Standard 9, where can I get them ?

You can get free PDF downloadable assignments for Grade 9 Mathematics Triangles from our website which has been developed by teachers after doing extensive research in each topic.

Can I get assignments and question banks for other subjects in Class 9 ?

On our website we have provided assignments for all subjects in Grade 9, all topic wise test sheets have been provided in a logical manner so that you can scroll through the topics and download the worksheet that you want.

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## 1 thought on “Assignments For Class 9 Mathematics Triangles”

1. Shreyas pathak says:

This is a good website but please increase more questions