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Triangle MCQ Class 9

Triangle - MCQ test 1

Q1. In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:


55°

70°

130°

60°


Q2. If two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Then the congruency rule is ...........


SSA

SSS

ASA

SAS


Q3.Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle be


7.5 cm

6.5 cm

6.0 cm

8.5 cm


Q4. Find the value of ∠C


65°

60°

55°

80°


Q5.In given figure below, AE||DC and AB=AC Find the value of ∠BAC ?


30°.

80°.

70°.

40°


Q6. In figure AB ⊥ AE, BC ⊥ AB, CE = DE and ∠AED = 120°, then find ∠ECD


50°

60°

150°

80°


Q7. In figure, D is the mid- point of side BC of a △ABC and ∠ABD = 50°. If AD = BD = CD, Then find the measure of ∠ACD


60°

40°

50°

90°


Q8. in figure, ABD is an isosceles triangle whose side AC is produce to E and through C, CD is drawn prallel to BA, Find the value of x.


100°

119°

104°

52°


Q9. In figure AB ⊥ BE and EF ⊥ BE. If BC = DE and AB = EF, then △ABD is congurent to


△ECF

△FEC

△DCE

△CDF


Q10.D is a point on the side of BC of a △ABC such that AD bisects ∠BAC


BD = CD

CD > BA

BA > BD

BD > BA


Q11. Which of the following is true.


DF = 5cm, ∠E = 60°

DF = 5cm, ∠F = 60°

DE = 5cm, ∠F = 60°

DF = 5cm, ∠D = 60°


Q12.In triangle △PQR , ∠R > ∠Q Then which of following is true?


PR > QR

PQ < QR

PQ > QR

PQ = PR


Q13.D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then


BD : DC = AB : AC

CD > CA

BD > BA

BA > BD


Q14. It is given that Δ ABC ≅ Δ FDE and AB = 5 cm, ∠B = 40° and ∠A = 60°. Then which of the following is true?


DF = 5 cm, ∠F = 60°

DF = 5 cm, ∠E = 60°

DE = 5 cm, ∠E = 60°

DE = 5 cm, ∠D = 40°


Q15. All the medians of a triangle are equal in case of a ..........triangle.


Scalene

Right angled

Equilateral

Isosceles


Q16. In triangle PQR if ∠Q = 90°, then:


PR is the longest side.

QR is the longest side.

PQ is the longest side.

None of these


Q17.In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are:


Isosceles and congruent

Isosceles but not congruent

Congruent but not isosceles

None of these


Q18.In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if:


BC = EF

AC = EF

BC = DE

AC = DE


Q19.E and F are midpoints of equal sides AB and AC of triangle ABC. Then:


BF=AC

BF=AF

CE=AB

BF=CE


Q20. In an Isosceles Triangle ABC altitude BE and CF is drawn to the equal sides of the isosceles triangle – AB and AC respectively, then:


BE > CF

BE = CF

BE < CF

None of these


Q21. Area of triangle is found by which of following formulae,if length of all sides is known then


A= √s(s-a)(s-b)(s-c)

A= √s(s+a)(s+b)(s+c)

Both a and b

None of these


Q22.Perimeter of equilateral triangle of side a is ......


a

2a

4a

3a


Q23. Which of the following is not a criterion for congruence of triangles?


SAS

ASA

SSA

SSS


Q24. In ∆PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is longest?


PQ

QR

PR

None of these


Q25. In the following triangle, calculate ∠BAC.


100°

45°

60°

90°



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