Mid-point Theorem MCQ Class 9 ICSE

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1. In fig D and E are mid-points of AB and AC respectively. The length of DE is:

2 points

4.9 cm

4.1 cm

3.5 cm

5.1 cm

Clear selection

2. In fig if DE=8cm and D is the mid Point of AB, then the false statement is :

2 points

DE ∥ BC

DE ≠ BC

E is not mid point of AC

AB = AC

Clear selection

3. In the given figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid points of sides BC and CD respectively, then length of PQ is:

2 points

7 cm

5 cm

4 cm

3 cm

Clear selection

4. D and E are mid points of the sides AB and AC of ΔABC and O is any point on the side BC. o is joined to A. If P and Q are the mid points of OB and OC respectively, then DEQP is a

2 points

square

resctangle

rhombus

parallelogram

Clear selection

5. The quadrilateral formed by joining the mid-points of the sides of quadrilateral PQRS, taken in order, is a rectangle if

2 points

PQRS is a parallelogram

PQRS is a rectangle

the diagonals of PQRS are perpendicular to each other

the diagonals of PQRS are equal.

Clear selection

6. The quadrilateral formed by joining the mid-points of the sides of quadrilateral ABCD, taken in order, is a Rhombus if

2 points

ABCD is a parallelogram

ABCD is a rhombus

the diagonals of ABCD are equal

the diagonals of ABCD are perpendicular to each other

Clear selection

7. In the diagram below of ΔACT, D is the midpoint of AC, O is the midpoint of AT, and G is the midpoint of CT. If AC = 10 cm, AT = 18 cm, and CT = 22 cm, what is the perimeter of parallelogram CDOG?

2 points

21 cm

40 cm

32 cm

25 cm

Clear selection

8. In Fig ABCD is a rhombus. Diagonals AC and BD intersect at O. E and F are mid points of AO and BO respectively. If AC = 16cm and BD = 12cm then EF is:

2 points