Class 9 Practice – Level 2 – Set 2 – Triangles

Total questions: 25

In △ABC, ∠A = 100° and ∠C = 50°. Which is its shortest side?

Topic: Angle-Side Relationship in Triangles

AB < CA < CB

AC < AB < BC

BA < CA < AC

None of these

None

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB, respectively (see figure). Which of the statement is true?

Topic: Isosceles Triangle Properties

FC = AB

BE = CF

EB = BE

EB = AE

None

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig.). Which statement is true?

Topic: Altitudes in Triangles

△ABE ≅ △ACF

AB = AC

CA = BA

None of these

None

In given figure ABC and DBC are two isosceles triangles on the same base BC. Which of the following statement is true?

Topic: Isosceles Triangle Properties

∠ACB=∠DBC

∠ABD=∠ACD

∠BDA=∠DCA

∠ADB=∠CAD

None

If AB = BC = AC, then what is the angle of A, B and C

Topic: Equilateral Triangle Properties

∠A = ∠B = ∠C = 30°

∠A = ∠B = ∠C = 180°

∠A = ∠B = ∠C = 60°

∠A = ∠B = ∠C = 90°

None

△ABC and △DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see figure). If △D is extended to intersect BC at P, Which of the following option is true?

Topic: Isosceles Triangle Properties

AP is the perpendicular bisector of BC .

PA is the perpendicular bisector of BC .

BC is the perpendicular bisector of AP .

PB is the perpendicular bisector of AC.

None

AD is an altitude of an isosceles triangle ABC in which AB = AC .

Topic: Isosceles Triangle Properties

(i) AD bisects BC .
(ii) AD bisects ∠A .

Yes

None

In a right-angled triangle, the hypotenuse is the longest side.

Topic: Right-Angled Triangle

True

False

None

In △ABC, the bisector AD of ∠A is perpendicular to side BC. Which of the following option is correct?

Topic: Angle Bisector Theorem

△ABC is an isosceles triangle

△ABC is an equilateral triangle

△ABC is an acute triangle

△ABC is an right triangle

None

10.

E and F are respectively the mid-points of equal sides AB and AC of △ABC (see Fig. 7.28). Which of the following statement is true?

Topic: Midpoint Theorem

BF = CE ( Intersect )

BF = CE ( bisect )

BF = CE ( Common )

None of these

None

11.

In an isosceles triangle ABC with AB = AC,D and E are points on BC such that BE = CD (see Fig. 7.29). Which of the following option is true?

Topic: Isosceles Triangle Properties

AD = AE

AB = DA

AE = AD

BA = DA

None

12.

In fig, if AD = BC and ∠BAD = ∠ABC, then ∠ACB is equal to

Topic: Isosceles Triangle Properties

∠ABD

∠BAD

∠BAC

∠BDA

None

13.

The angles of a triangle are in the ratio 3 : 5 : 10. What is the measure of the greatest angle of the triangle.

Topic: Angles of a Triangle

80°

100°

110°

90°

None

14.

In △ABC, ∠A + ∠B = 84° , and ∠B + ∠C = 146°. Find the measure of the greatest angle of triangle.

Topic: Finding Triangle Angles

86°

65°

96°

56°

None

15.

In the given figure, if AB = 3 cm, AC = 3 cm and ∠A = 50° , What is the value of ∠B.

Topic: Isosceles Triangle Properties

95°

65°

85°

75°

None

16.

In the given figure, if AB = AC and ∠B = 70° , What is the value of ∠A

Topic: Isosceles Triangle Properties

50°

40°

60°

70°

None

17.

Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Then the smallest angle is:

Topic: Angles of a Triangle

60°

45°

30°

90°

None

18.

One of the angles of a triangle is 65° . If the difference of other two angles is 25° , the largest angle of this triangle has a measure of

Topic: Angle Sum Property of Triangle

65°

70°

40°

80°

None

19.

In △ABC, AD is the median through A and E is the mid-point of AD. BE produced meets in F figure. Then the value of AF is equal to

Topic: Median of a Triangle

$ \displaystyle \dfrac{1}{{4\text{AC}}}$

$ \displaystyle \dfrac{1}{{2\text{AC}}}$

$ \displaystyle \dfrac{1}{{3\text{AC}}}$

$ \displaystyle \dfrac{3}{{3\text{AC}}}$

None

20.

In a isosceles triangle AB = AC and BA is produced to D, such that AB = AD then ∠BCD is

Topic: Isosceles Triangle Properties

70°

90°

60°

45°

None

21.

In the figure shown below, ∠B = ∠C = 65° and ∠D = 35° . Which one of the following is a true statement?

Topic: Angles of a Triangle

BC < CA < CD

BC > CA > CD

BC = CD = CA

BC > CA, CA < CD.

None

22.

The sum and difference of two angles of a triangle are 128° and 22° respectively. Find the measure of the smallest angle of the triangle.

Topic: Angle Properties in Triangles

52°

75°

53°

42°

None

23.

In ΔABC, let ∠A = 120° and AB = AC. What is the value of ∠B

Topic: Isosceles Triangle Properties

30°

60°

70°

80°

None

24.

The triangle formed by joining the mid-points of the sides of an isosceles triangles is

Topic: Midpoint Theorem

scalene triangle

equilateral triangle

right triangle

isosceles triangle

None

25.

If the three altitudes of a Δ are equal then triangle is

Topic: Altitudes in Triangles

isosceles

equilateral

right angled

scalene

None

1 out of 25

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Class 9 Practice – Level 2 – Set 2 – Triangles

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