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Important Questions: Triangles - Class 10 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 10 - Important Questions: Triangles

Important Questions: Triangles for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Important Questions: Triangles questions and answers have been prepared according to the Class 10 exam syllabus.The Important Questions: Triangles MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions: Triangles below.
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Important Questions: Triangles - Question 1

In Fig. 7.4, ∠BAC = 90° and AD ⊥ BC. Then,

Detailed Solution for Important Questions: Triangles - Question 1

Important Questions: Triangles - Question 2

In the given figure, AD/BD = AE/EC and ∠ADE = 70°, ∠BAC = 50°, then angle ∠BCA =

Detailed Solution for Important Questions: Triangles - Question 2

The correct option is Option D.

By using angle sum property, we find third angle

AED = 180° - (70°+50°) = 60°

and DE ll BC 

So, by corresponding angle, we get the value of BCA = 60°.

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Important Questions: Triangles - Question 3

If ΔABC ~ ΔEDF  then which of the following is not true?

Detailed Solution for Important Questions: Triangles - Question 3

Since △ABC~△EDF

Then, AB/ED = BC/DF = AC/EF

A) BC/DF = AC/EF

⇒BC.EF=AC.FD   

So, A) is true

 

B) AB/ED = AC/EF

⇒AB.EF=AC.DE     

So,B) is true

 

D) AB/ED = BC/DF

BC.DE=AB.EF    

So, D) is not true

 

Therefore, Option  C is not true

Important Questions: Triangles - Question 4

Which pair of the given quadrilaterals is similar?

Detailed Solution for Important Questions: Triangles - Question 4

Quadrilaterals are similar if their angles are equal and corresponding sides are proportional.

Important Questions: Triangles - Question 5

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then length of DE (in cm) is

Detailed Solution for Important Questions: Triangles - Question 5

Since, DE is parallel to BC

→ angle ADE = angle ABC (corresponding angles)

→ angle AED = angle ACB (corresponding angles)

Hence, by AA criterion of similarity,

∆ADE ~ ∆ABC

ratio of corresponding sides of similar triangles are equal.

AD/AB = DE/BC

AB = AD + DB

AB = 2 + 3 = 5 cm

So,

2/5 = DE/7.5

DE = 2/5 × 7.5

DE = 2 × 1.5

DE = 3 cm.

Important Questions: Triangles - Question 6

If in two triangles ABC and PQR, AB/QR = BC/PR = CA/PQ , then

Detailed Solution for Important Questions: Triangles - Question 6


Then, ΔCAB ~ ΔPQR

Important Questions: Triangles - Question 7

If ΔPRQ ~ ΔXYZ, then

Detailed Solution for Important Questions: Triangles - Question 7

Since the two triangles are similar, therefore, they will have their corresponding angles congruent and the corresponding sides in proportion.

Important Questions: Triangles - Question 8

Match the column:

Detailed Solution for Important Questions: Triangles - Question 8

Properties of triangles.

Important Questions: Triangles - Question 9

In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are

Detailed Solution for Important Questions: Triangles - Question 9

to be congruent, the conditions are
S S S - three sides
S A S - two sides and the included angle
A S A - two angles and one side
R H S - R H S - Right angle, Hypotenuse and one side
But to be similar,
A A A means 3 angles
A A means only two angles ....
in both triangles should be equal.
In the problem, equality of two angles is given, but equality of sides is not given.
So, given triangles are not congruent.
But they are similar.

Important Questions: Triangles - Question 10

ABC and BDE are two equilateral triangles such that D is mid-point of BC. Ratio of the areas of triangles ABC and BDE is

Detailed Solution for Important Questions: Triangles - Question 10


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