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CBSE Class 10  >  Class 10 Test  >  Online MCQ Tests  >  Test: Criteria for Similar Triangles - Class 10 MCQ

Criteria for Similar Triangles - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Criteria for Similar Triangles (10 Questions)

You can prepare effectively for Class 10 Online MCQ Tests for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Criteria for Similar Triangles". These 10 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Criteria for Similar Triangles - Question 1
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If ΔDEF ~ ΔABC and DE = AB, what is the relation between the two triangles?​

Detailed Solution: Question 1

Since DE=AB means that there ratio is 1 which means corresponding sides are equal.Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.So they are congruent.

Test: Criteria for Similar Triangles - Question 2
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In the following figure, find the value of x.

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Detailed Solution: Question 2

The triangles are similar by SAS criterion, So we have, Angle A+Angle B + Angle C=180
x=180-30-80=70 degrees 

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Test: Criteria for Similar Triangles - Question 3
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In the figure given below, if DE || BC, then x equals :

Detailed Solution: Question 3

We have Angle ADE= Angle ABC
And ANGLE A is common, So by AA criterion of similarity the two triangles are similar so AD/AB=DE/BC
x=5*4/3=6.7

Test: Criteria for Similar Triangles - Question 4
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Given that ΔABC ~ ΔDEF and AB = 2cm , BC = 3cm, DE = 4cm, EF = 6cm , If DF = 8cm, then AC = ?​

Detailed Solution: Question 4

We have 
=2/4=½
So, =½
AC=8/2=4cm

Test: Criteria for Similar Triangles - Question 5
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If ΔPQR ~ ΔXYZ, ∠Q = 50°, ∠R = 70° then ∠X is equal to :​

Test: Criteria for Similar Triangles - Question 6
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Given that ΔABC ~ ΔDEF ∠A = 50°, ∠C = 35° ∠E = ?

Detailed Solution: Question 6

Thus, the measure of ∠E:  95°

Test: Criteria for Similar Triangles - Question 7
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In the given figure perpendiculars are dropped on the common base BD of the given two triangles. AE = 2cm, CF = 3cm  

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Detailed Solution: Question 7

Area of triangle = 1/2 *base*height
Area of ABD=1/2 *BD*2
Area of  BDC=1/2*BD*3

Test: Criteria for Similar Triangles - Question 8
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In the given figure ΔABC ~ ΔBDC = 90° each. Choose the correct similarity from the given choices.

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Detailed Solution: Question 8

We have Angle C common and Angle B = Angle D
So in similarity we write the name of the triangle in such an order in which the corresponding alphabets denote equal angles . this means that ΔABC ~ ΔBDC that says Angle A = Angle B, Angle B = Angle D, and Angle C = Angle C

Test: Criteria for Similar Triangles - Question 9
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ΔABC ~ ΔDEF Perimeter (ΔABC) = 15 cm, Perimeter (DEF) = 25 cm.If AB = 6 cm, then find DE.

Detailed Solution: Question 9

Ratios of perimeter of similar triangles are equal to the ratio of their sides.
So Perimeter of ABC/perimeter of DEF=15/25=⅗
AB/DE=⅗
DE=6*5/3=10

Test: Criteria for Similar Triangles - Question 10
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In the given figure use the similarity of the given triangles to find the value of BD,

ΔABC ~ ΔBDC,  ∠BDC = ∠ABC = 90°, AB = 3, BC = 4,AD = 2, BD = ?

Detailed Solution: Question 10

Solution : 

The correct option is Option C.

∆ ABC ~ ∆ BDC = AD/AB = BD/BC = ⅔ = BD/4 = BD = 8/3

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About this Class 10 Practice Test

This test contains 10 MCQs on Criteria for Similar Triangles with detailed solutions for each question. It is part of the Online MCQ Tests for Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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