Question 1
1 Mark
If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true:
Options
Option A is correct
BC = PQ
Option B
AC = PR
Option C
QR = BC
Option D
AB = PQ
Questions & Answers: "Triangles"
Complete guide to "Triangles" for Math students. Below you will find important questions and model answers to help you prepare.
12 Questions
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We are building a dedicated quiz for this topic, but you can test your skills on a similar concept: Number Systems - Practice Set 1 (NCERT Class 9).
Question 2
1 Mark
Which of the following is not a criterion for congruence of triangles?
Options
Option A
SAS
Option B
ASA
Option C is correct
SSA
Option D
SSS
Question 3
1 Mark
If AB = QR, BC = PR and CA = PQ, then
Options
Option A
∆ ABC ≅ ∆ PQR
Option B is correct
∆ CBA ≅ ∆ PRQ
Option C
∆ BAC ≅ ∆ RPQ
Option D
∆ PQR ≅ ∆ BCA
Question 4
1 Mark
In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to
Options
Option A
40°
Option B is correct
50°
Option C
80°
Option D
130°
Question 5
1 Mark
In ∆ ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
Options
Option A
80°
Option B
40°
Option C is correct
50°
Option D
100°
Question 6
1 Mark
In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is
Options
Option A is correct
4 cm
Option B
5 cm
Option C
2 cm
Option D
2.5 cm
Question 7
1 Mark
D is a point on the side BC of a ∆ ABC such that AD bisects ∠BAC. Then
Options
Option A
BD = CD
Option B is correct
BA > BD
Option C
BD > BA
Option D
CD > CA
Question 8
1 Mark
It is given that ∆ ABC ≅ ∆ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?
Options
Option A
DF = 5 cm, ∠F = 60°
Option B is correct
DF = 5 cm, ∠E = 60°
Option C
DE = 5 cm, ∠E = 60°
Option D
DE = 5 cm, ∠D = 40°
Question 9
1 Mark
Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be
Options
Option A
3.6 cm
Option B
4.1 cm
Option C
3.8 cm
Option D is correct
3.4 cm
Question 10
1 Mark
In ∆ PQR, if ∠R > ∠Q, then
Options
Option A
QR > PR
Option B is correct
PQ > PR
Option C
PQ < PR
Option D
QR < PR
Question 11
1 Mark
In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
Options
Option A is correct
isosceles but not congruent
Option B
isosceles and congruent
Option C
congruent but not isosceles
Option D
neither congruent nor isosceles
Question 12
1 Mark
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if
Options
Option A
BC = EF
Option B is correct
AC = DE
Option C
AC = EF
Option D
BC = DE