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Triangles - Olympiad Level MCQ, Class 9 Mathematics - Class 9 MCQ


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15 Questions MCQ Test - Triangles - Olympiad Level MCQ, Class 9 Mathematics

Triangles - Olympiad Level MCQ, Class 9 Mathematics for Class 9 2024 is part of Class 9 preparation. The Triangles - Olympiad Level MCQ, Class 9 Mathematics questions and answers have been prepared according to the Class 9 exam syllabus.The Triangles - Olympiad Level MCQ, Class 9 Mathematics MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Triangles - Olympiad Level MCQ, Class 9 Mathematics below.
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Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 1

Q. In the given figure AD is the bisector of ∠A and AB = AC. Then ΔACD, ΔADB are congruent by which criterion?

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 2

In ΔABC if  ∠B = ∠ C = 45°, which of the following is the longest side ?

Detailed Solution for Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 2
BC because the angles B and C are smaller than angle A which makes the side B and AC smaller than BC.
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Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 3

In a ΔABC if ∠ A = 45° and ∠B = 70° then the shortest and the largest sides of the triangle are :-

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 4

In Δ ABC if  ∠B = 45°, ∠ C = 65°, and the bisector of ∠BAC meets BC at P. Then the ascending order

of sides is :-

 

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 5

In a ΔABC if 2∠ A = 3 ∠ B = 6 ∠ C then ∠ A ∠ B ∠ C are :

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 6

By which congruency property, the two triangles connected by the following figure are congruent :-

 

Detailed Solution for Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 6
By SSS rule...they r congruent CB=DB (given)AC=AD (given)AB =AB(common)
Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 7

In ΔABC, AB = AC and AD is perpendicular to BC. State the property by which ΔADB ≌ADC :-

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 8

State the property by which ΔADB ≌ADC in the following figure :-

 

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 9

In the given figure if AD = BC and AD || BC, then :

 

Detailed Solution for Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 9
The given figure is a parallelogram because AD=AB. Since,opposite sides of parallelogram are equal and also parallel. Therefore,AB will be equal to DC.
Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 10

In the figure given below, find the measure of the angles denoted by x,y, z,p,q and r.

Detailed Solution for Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 10

x = 180 - 100 [L.P. of angles] = 80°

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 11

An exterior angle of a triangle is equal to the sum of two _________ angles :-

Detailed Solution for Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 11
A related theorem. Because an exterior angle is equal to the sum of the opposite interior angles, it follows that it must be larger than either one of them. Stated more formally: Theorem: An exterior angle of a triangle is always larger then either opposite interior angle.
Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 12

In the following, the set of measures which can form a triangle :-

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 13

Sum of any two sides of a triangle is always __________ third side in a triangle :-

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 14

Can 90°, 90° and 20° form a triangle ?

Triangles - Olympiad Level MCQ, Class 9 Mathematics - Question 15

In the given figure it is given that AB = CF, EF = BD and Ð AFE = Ð DBC. Then DAFE congruent to DCBD by which criterion ?

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