Questions & Answers: "Triangles"
Complete guide to "Triangles" for Math students. Below you will find important questions and model answers to help you prepare.
Explore Related Topics
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).
Filter by Source
Exemplar
12 QuestionsIf ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true:
Options
BC = PQ
AC = PR
QR = BC
AB = PQ
Which of the following is not a criterion for congruence of triangles?
Options
SAS
ASA
SSA
SSS
If AB = QR, BC = PR and CA = PQ, then
Options
∆ ABC ≅ ∆ PQR
∆ CBA ≅ ∆ PRQ
∆ BAC ≅ ∆ RPQ
∆ PQR ≅ ∆ BCA
In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to
Options
40°
50°
80°
130°
In ∆ ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
Options
80°
40°
50°
100°
In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is
Options
4 cm
5 cm
2 cm
2.5 cm
D is a point on the side BC of a ∆ ABC such that AD bisects ∠BAC. Then
Options
BD = CD
BA > BD
BD > BA
CD > CA
It is given that ∆ ABC ≅ ∆ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?
Options
DF = 5 cm, ∠F = 60°
DF = 5 cm, ∠E = 60°
DE = 5 cm, ∠E = 60°
DE = 5 cm, ∠D = 40°
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
3.6 cm
4.1 cm
3.8 cm
3.4 cm
In ∆ PQR, if ∠R > ∠Q, then
Options
QR > PR
PQ > PR
PQ < PR
QR < PR
In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
Options
isosceles but not congruent
isosceles and congruent
congruent but not isosceles
neither congruent nor isosceles
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if
Options
BC = EF
AC = DE
AC = EF
BC = DE