Important Questions: Triangles

# Important Questions: Triangles - Class 10

Test Description

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

Important Questions: Triangles for Class 10 2023 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 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions: Triangles below.
Solutions of Important Questions: Triangles questions in English are available as part of our Mathematics (Maths) Class 10 for Class 10 & Important Questions: Triangles solutions in Hindi for Mathematics (Maths) Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Important Questions: Triangles | 10 questions in 10 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Mathematics (Maths) Class 10 for Class 10 Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
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°.

Important Questions: Triangles - Question 3

### If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, 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

1) BC/DF = AC/EF

⇒BC.EF=AC.FD

So, A) is true

2) AB/ED = AC/EF

⇒AB.EF=AC.DE

So,B) is true

3) AB/ED = BC/DF

BC.DE=AB.EF

So, D) is 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,

ratio of corresponding sides of similar triangles are equal.

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

## Mathematics (Maths) Class 10

115 videos|478 docs|129 tests
Information about Important Questions: Triangles Page
In this test you can find the Exam questions for Important Questions: Triangles solved & explained in the simplest way possible. Besides giving Questions and answers for Important Questions: Triangles, EduRev gives you an ample number of Online tests for practice

## Mathematics (Maths) Class 10

115 videos|478 docs|129 tests