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CBSE Class 9  >  Class 9 Test  >  Online MCQ Tests  >  Test: Mid Point Theorem - Class 9 MCQ

Mid Point Theorem - Free MCQ Practice Test with solutions, Class 9


MCQ Practice Test & Solutions: Test: Mid Point Theorem (10 Questions)

You can prepare effectively for Class 9 Online MCQ Tests for Class 9 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Mid Point Theorem". These 10 questions have been designed by the experts with the latest curriculum of Class 9 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: Mid Point Theorem - Question 1
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D, E, F are midpoints of sides AB, BC and CA of ΔABC, if ar(ΔABC) = 64 cm2 then, area of ΔBDE is:

Detailed Solution: Question 1

Bcs (ABC) is a full triangle ABC triangle divide into four equal partsTherefore, 64÷4=16 cm2

Test: Mid Point Theorem - Question 2
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In the adjoining figure, ABCD and PQRC are rectangles, where Q is the midpoint of AC. Then DP is equal to

Detailed Solution: Question 2

Given that PQRS and ABCD are rectangle and Q is the mid pt of AC.

Since PQRS and ABCD are rectangle, every angle would be of 90°.

Consider AD and PQ.

angle ADP = 90°
angle QPC = 90°

Now, angle ADP lies corresponding to angle QPC and are equal.

If corresponding angles are equal, then the lines are parallel


=> AD || PQ

Now consider ∆ADC.

Q is the midpoint of AC (Given)
AD || PQ (shown above)

We know that,
line drawn parallel from the midpoint of a side, to other side, bisects the third side.

Hence, P would be the midpoint of DC

Hence, DP = PC

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Test: Mid Point Theorem - Question 3
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In triangle ABC, E and F are the mid points of the sides AC and AB respectively. The altitude AP to BC intersects EF at Q. Then

Test: Mid Point Theorem - Question 4
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Figure shows that AD and BF are medians of ABC and BF || DE then CE is equal to

Detailed Solution: Question 4

A median divides the triangle into 2 equal parts. So AD divides the triangle into the triangle ABD & ACD . Further BF divides the triangle into 2 equal parts .
So AF = 1/2 AC
DE bisects it into 2 parts
So EF = 1/2 EC
EF =FC
AF = EC
SO FC =1/2 * 1/2 AC
= 1/4 AC

Test: Mid Point Theorem - Question 5
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In ΔABC, D, E and F are respectively mid points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm respectively, the perimeter of DEF will be

Detailed Solution: Question 5

Since, D,E,F are the midpoints of BC,CA and AB,Thus

Test: Mid Point Theorem - Question 6
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If D, E and F are the mid points of the sides BC, CA and AB of an equilateral triangle ABC, then triangle DEF is

Test: Mid Point Theorem - Question 7
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The quadrilateral formed by joining the midpoints of the pairs of adjacent sides of a rectangle is a

Test: Mid Point Theorem - Question 8
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ABCD is a parallelogram in which P, Q, R and S are the mid points of sides AB, BC CD and DA respectively. Then,

Test: Mid Point Theorem - Question 9
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Find the area of a trapezium whose parallel sides are 24 cm and 20 cm and the distance between them is 15 cm. 

Test: Mid Point Theorem - Question 10
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In the adjoining figure, the side AC of ABC is produced to E such that CE = 1/2 AC. If D is the midpoint of BC and ED produced meets AB at F, and CP, DQ are drawn parallel to BA, then FD is

Detailed Solution: Question 10

Given,
ABC is a triangle.
D is midpoint of BC and DQ is drawn parallel to BA.
Then, Q is midpoint of AC.
∴ AQ = DC
∴ FA parallel to DQ||PC.
AQC, is a transversal so, AQ = QC and FDP also a transveral on them.
∴ FD = DP .......(1) [ intercept theorem]
EC = 1/2 AC = QC
Now, triangle EQD, here C is midpoint of EQ and CP which is parallel to DQ.
And, P is midpoint of DE.
DP = PE..........(2)
Therefore, From (1) and (2)
FD = DP = PE
∴ FD = 1/3 FE

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About this Class 9 Practice Test

This test contains 10 MCQs on Mid Point Theorem with detailed solutions for each question. It is part of the Online MCQ Tests for Class 9 course on EduRev, designed to align with the current Class 9 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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