Class 9 Quiz Level 3 (Difficult) – Triangles

Total questions: 10

Find ∠ADC in the given figure

Topic: Angle Calculation in Triangle

Deselect Answer

75°

95°

85°

55°

None

In the given figure, ABC is a triangle in which ∠B = 2∠C. D is a point on side BC such that AD bisects ∠BAC and AB = CD. BE is the bisector of ∠B. The measure of ∠BAC is

Topic: Angle Bisector and Perpendicular

Deselect Answer

72°

73°

74°

95°

None

In the following figure, ∠DAC = 30°, ∠ABC = ∠ADC = 95° and ∠BCA = 55°. If the area of △ACD is $ \displaystyle 30\text{ c}{{\text{m}}^{2}}$, what is the area of △ABC ?

Topic: Angle Properties in Triangles

Deselect Answer

$ \displaystyle 60\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 90\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 30\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 40\text{ c}{{\text{m}}^{2}}$

None

If ABC is a triangle right angled at B and M, N are the mid-points of AB and BC, then 4($ \displaystyle \text{A}{{\text{N}}^{2}}+\text{C}{{\text{M}}^{2}}$) is equal to :

Topic: Right-Angled Triangle

Deselect Answer

$ \displaystyle 4\text{A}{{\text{C}}^{2}}$

$ \displaystyle 5\text{A}{{\text{C}}^{2}}$

$ \displaystyle \dfrac{5}{4}\text{A}{{\text{C}}^{2}}$

$ \displaystyle 6\text{A}{{\text{C}}^{2}}$

None

In the given figure, Y Z is parallel to MN, XY is parallel is LM and XZ is parallel to LN . Then MY is

Topic: Parallel Lines and Proportion

Deselect Answer

Median of △LMN

The angular bisector of ∠LMN

Perpendicular to LN

Perpendicular bisector of LN

None

In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then △ABD is congruent to

Topic: Congruence of Right-Angled Triangles

Deselect Answer

△EFC

△ECF

△CEF

△FEC

None

In figure if QT ⊥ PR, ∠TQR = 40° and ∠SPR = 30°, What is the value of x and y.

Topic: Right-Angled Triangle

Deselect Answer

x = 50°, y = 70°

x = 50°, y = 80°

x = 40°, y = 80°

x = 50°, y = 100°

None

In △ABC and △PQR given below, AB = PQ, BC = QR and ∠B = ∠Q = 90°. Which of the following congruency axioms is/are suitable to prove that △ABC ≅ △PQR ?

Topic: Congruence of Right-Angled Triangles

Deselect Answer

RHS

SAS

Both (A) and (B)

None of these

None

If two sides of a triangle are of lengths 5 cm and 1.5 cm, then the length of third side of the triangle cannot be?

Topic: Triangle Inequality Property

Deselect Answer

3.6 cm

4.1 cm

3.8 cm

3.4 cm

None

10.

The image of an object placed at a point A before a plane mirror LM is seen at the point B by an observer at D as shown in Fig, then the image is as far behind the mirror as the object is in front of the mirror.

Topic: Reflection and Image Formation in Plane Mirrors

Deselect Answer

True

False

None

1 out of 10

Class 9 Quiz Level 3 (Difficult) – Triangles

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