Question

1 The perimeter of ΔABC is 36 cm. If D is the midpoint of AB and

DE is parallel to BC. If AD = 5.4 cm and AE = 4.6 cm, find the length

of DE.

2 Find the measure of each angle of a parallelogram if one of its

angles is 180

less than twice the smallest angle.

3 If an angle of a parallelogram is two- third of its adjacent angle.

Find all the angles of the parallelogram.

4 ABCD is a rhombus such that ∠ADB =400

, then find the ∠ACB

5 Each side of rhombus is 15 cm. If the length of the one of its

diagonals is 18 cm, then find the length of the other diagonal.

6 THE diagonals of a rectangle ABCD intersect at o. If ∠BOC = 440

then find the ∠OAD.

7 In a ΔABC, median AD is produced to E such that AD = DE. Show

that ABEC is a parallelogram.

8 The diagonals of quadrilateral ABCD are perpendicular. Show that

the quadrilateral formed by the joining the mid points of its sides is a​

Answer 1

Answer:

Correct option is

B

14.2 cm

Given: X and Y are mid points of AB and AC respectively.

In △ABC, using mid point theorem

XY∥BC and XY=

2

1

BC

Thus, XY=3 cm

Since, D is mid point of AB , BX=

2

1

AB=

2

1

(5.4)=2.7 cm

Also, E is mid point of AC, CY=

2

1

AC=

2

1

(5)=2.5 cm

Now, Perimeter of XYCB = XY+YC+BC+XB

Perimeter of XYCB = 3+2.5+6+2.7

Perimeter of XYCB = 3+2.5+6+2.7 = 14.2 cm