Class 10 Quiz Level 1 (Easy) – Triangles

Total questions: 30

In the given figure, D and E are points on sides AB and AC respectively of a △ABC such that DE∣∣BC. If AD = 3.6 cm, AB = 10 cm and AE = 4.5 cm, find EC.

Topic: Basic Proportionality Theorem

Similarity of triangle and its criterias

Deselect Answer

10 cm

12 cm

8 cm

6 cm

None

The corresponding altitudes of two similar triangles are 6cm and 9cm respectively. Find the ratio of their areas.

Topic: Areas of Similar Triangles

Deselect Answer

$ \displaystyle \dfrac{4}{9}$

$ \displaystyle \dfrac{6}{12}$

$ \displaystyle \dfrac{2}{8}$

$ \displaystyle \dfrac{5}{8}$

None

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

Topic: Criteria for Congruence

Deselect Answer

SAS

SSS

ASA

SSA

None

If a line intersects sides AB and AC of a △ABC at D and E respectively and is parallel to BC. Then, $ \displaystyle \dfrac{{\text{AD}}}{{\text{AB}}}\,\text{ }$ will be equal to:

Topic: Criteria for Similarity of Triangles

Deselect Answer

$ \displaystyle \dfrac{{\text{AB}}}{{\text{AC}}}\,\text{ }$

$ \displaystyle \dfrac{{\text{AE}}}{{\text{AC}}}\,\text{ }$

$ \displaystyle \dfrac{{\text{AE}}}{{\text{AD}}}\,\text{ }$

$ \displaystyle \dfrac{{\text{BC}}}{{\text{AC}}}\,\text{ }$

None

It is given that △ABC ∼ △PQR, with $ \displaystyle \dfrac{{\text{BC}}}{{\text{QR}}}=\dfrac{1}{3}.$ Then, $ \displaystyle \dfrac{{\text{ar}\Delta \text{PRQ}}}{{\text{ar}\Delta \text{BCA}}}$ is equal to:

Topic: Areas of Similar Triangles

Deselect Answer

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

$ \displaystyle \dfrac{1}{9}$

None

In the given figure, DE∥BC, AD = 1 cm and BD = 2 cm. What is the ratio of the ar(△ABC) to the ar ( △ADE) ?

Topic: Areas of Similar Triangles

Deselect Answer

9 : 1

2 : 3

6 : 9

4 : 5

None

Two triangles are similar if their corresponding sides are _________.

Topic: Criteria for Similarity of Triangles

Deselect Answer

Opposite

Equal

Proportional

None of these

None

ABC is an isosceles triangle, right angled at C. Then, $ \displaystyle {\text{A}{{\text{B}}^{2}}}$ will be equal to:

Topic: Pythagoras Theorem in Triangles

Deselect Answer

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

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

$ \displaystyle {\text{B}{{\text{C}}^{2}}}$

2 $ \displaystyle {\text{B}{{\text{C}}^{2}}}$

None

The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first triangle is 9 cm, then the corresponding side of second triangle is:

Topic: Ratios of Corresponding Sides of Similar Triangles

Deselect Answer

2.3

5.4

6.2

7.9

None

10.

In ΔABC, DE || BC such that AD = 2.4 cm, AB = 3.2 cm and AC = 8 cm, then what is the length of AE?

Topic: Basic Proportionality Theorem

Deselect Answer

8 cm

10 cm

4 cm

6 cm

None

11.

In the given figure, if AD ⊥ BC, then, $ \displaystyle \text{A}{{\text{B}}^{2}}+\text{C}{{\text{D}}^{2}}$ will be equal to:

Topic: Application of Pythagoras Theorem

Deselect Answer

$ \displaystyle\text{B}{{\text{D}}^{2}}+\text{A}{{\text{C}}^{2}}$

$ \displaystyle\text{A}{{\text{D}}^{2}}+\text{A}{{\text{B}}^{2}}$

$ \displaystyle\text{A}{{\text{D}}^{2}}+\text{A}{{\text{C}}^{2}}$

$ \displaystyle\text{B}{{\text{D}}^{2}}+\text{A}{{\text{D}}^{2}}$

None

12.

A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.

Topic: Application of Pythagoras Theorem

Deselect Answer

8 m

4 m

2 m

6 m

None

13.

In the given figures, DE ∣∣ BC. Find EC in (i) and AD in (ii) respectively.

Topic: Basic Proportionality Theorem

Deselect Answer

6.5 cm, 3.4 cm

3.2 cm, 2.0 cm

2.4 cm, 5.4 cm

2.0 cm, 2.4 cm

None

14.

The triangle whose vertices are (2, 4), (5,1) and (6, 5) will be:

Topic: Properties of Triangles

Deselect Answer

Isosceles triangle

Equilateral triangle

Scalene triangle

None of the above

None

15.

If △ABC≅△LKM, Which side of △LKM is equal to side AC of △ABC?

Topic: Criteria for Congruence

Deselect Answer

All of the above

None

16.

In the given figure, if AB=AC and BD=DC⋅ △ABD and △ACD are congruent by which criterion?

Topic: Criteria for Congruence

Deselect Answer

SSS

ASA

SAS

RHS

None

17.

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

Topic: Pythagoras Theorem in Triangles

Deselect Answer

5.5 m

4 m

6.5 m

2.8 m

None

18.

The figure of two triangles are given below. Based on these triangles, select the correct option.

Topic: Criteria for Congruence

Deselect Answer

∠J≅∠V

∠B≅∠D

XJ≅∠V

∠H≅∠I

None

19.

The corresponding sides of two similar triangles are in the ratio 3 : 4, then the ratios of the area of triangles is:

Topic: Areas of Similar Triangles

Deselect Answer

$ \displaystyle \frac{9}{{16}}$

$ \displaystyle \frac{8}{{14}}$

$ \displaystyle \frac{4}{{10}}$

$ \displaystyle \frac{6}{{12}}$

None

20.

For given figure, which one is correct:

Topic: Application of Pythagoras Theorem

Deselect Answer

△ABC≅△DEF

△ABC≅△FED

△ABC≅EDF

△ABC≅△DFE

None

21.

All squares are ________. What is the correct answer from the given option?

Topic: Properties of Squares

Deselect Answer

Similar

Proportional

Congruent

Equal

None

22.

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then:

Topic: Basic Proportionality Theorem

Deselect Answer

The other two sides are divided in the different ratio

The other two sides are divided in the same ratio

The other two sides are not divided in any ratio

None of the above

None

23.

State whether the given quadrilaterals are similar or not:

Topic: Criteria for Similarity of Triangles

(i)

(ii)

Deselect Answer

Similar

Not similar

Incomplete information

Cannot be predicted

None

24.

In the given figure PQ is parallel to AB and PR is parallel to AC. By using which of the following theorems it can be proved that QR is parallel to BC?

Topic: Basic Proportionality Theorem

Deselect Answer

Basic Proportionality Theorem

Thales Theorem

Converse of Basic Proportionality Theorem

All of the above

None

25.

In the given figure, ABC is a triangle in which AB = AC. Points D and E are points on the sides AB and AC respectively such that AD = AE. Then, the points B, C, E and D will be called as:

Topic: Isosceles Triangle Properties

Deselect Answer

Concyclic points

Collinear points

Concurrent points

Non-Coplanar points

None

26.

All circles are _______. What is the correct answer from the given option?

Topic: Properties of Circles

Deselect Answer

Congruent

Similar

Isosceles

Equilateral

None

27.

The corresponding sides of two similar triangles are in the ratio of 2:3. If the area of the small triangle is 48 sq.cm, then the area of large triangle is: of the circle is 13 cm, What is the value of distance between the two chords?

Topic: Areas of Similar Triangles

Deselect Answer

142 cm²

125 cm²

108 cm²

190 cm²

None

28.

If P and Q are the points on side CA and CB respectively of △ABC, right angled at C, Then $ \displaystyle \left( {\text{A}{{\text{Q}}^{2}}+\text{B}{{\text{P}}^{2}}} \right)$ will be equal to:

Topic: Pythagoras Theorem

Deselect Answer

$ \displaystyle \left( {\text{A}{{\text{B}}^{2}}+\text{P}{{\text{Q}}^{2}}} \right)$

$ \displaystyle \left( {\text{B}{{\text{C}}^{2}}+\text{C}{{\text{A}}^{2}}} \right)$

$ \displaystyle \left( {\text{A}{{\text{B}}^{2}}+\text{B}{{\text{C}}^{2}}} \right)$

$ \displaystyle \left( {\text{P}{{\text{C}}^{2}}+\text{Q}{{\text{C}}^{2}}} \right)$

None

29.

In △ABC, if DE ∥ BC, then which of the following statements is true?

Topic: Basic Proportionality Theorem