Page 1 - Mid Point Theorem lab activity

SAI INTERNATIONAL SCHOOL
Sub: Mathematics Class IX

Worksheet-2

Ch-8 Quadrilaterals

1. ABCD is a parallelogram and E and F are the centroid of triangle ABD and BCD
respectively, then EF =
(a) AE (b) BE (c) CE (d) DE

2. ABCD is a parallelogram, M is the midpoint of BD and BM bisects B, then
AMB =
0
0
0
0
(a) 45 (b) 75 (c) 90 (d) 60

3. Points A, B, C, and D are midpoints of the sides of square JETS. If the area
of JETS is 36, the area of ABCD is
(a) 9 b) √18 (c) 9√2 (d) 18

4.
In the accompanying above diagram of
rectangle ABCD, AB E = 30 and

CFE =144. Find BEF.

(a) 36° (b) 60° (c) 84° d) 90°

5. The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If
DAC = 32 and AOB = 70 , then DBC is equal to
0
0
0
0
0
0
(a) 24 (b) 86 (c) 38 (d) 32
6. D and E are the midpoints of the sides AB and AC of ABC. DE is produced to F. To
prove that CF is equal and parallel to DA, we need an additional information which is
)DAE = EFC (b) AE = EF (c) DE = EF (d) ADE = ECF

7. The bisectors of any two adjacent angles of a parallelogram
intersect at
0
0
0
(a) 45 (b) 30 (c) 90 0 (d) 60
8. In the following figure, M, N and P are mid-points of AB, AC and BC respectively. If MN
= 3 cm, NP = 3.5 cm and MP = 2.5 cm, calculate BC, AB and AC.