Question

6. To construct a parallelogram, it is sufficient to know the measure of..........
(a) two opposite sides
(b) two adjacent sides
(c) two adjacent sides and one angle (d) none of these
7. To construct a square, it is sufficient to know...........
(a) its side
(b) its diagonal
(c) its side and diagonal
(d) its side or diagonal
8. A unique rhombus cannot be constructed, if...........
(a) a side and one angle are given
(b) a side and one diagonal are gi
(c) two diagonals are given
(d) none of these
9. To construct a rhombus whose diagonals are given, which property will be used.........
(a) all sides are equal
(b) opposite angles are equal
(c) diagonals bisect each other at 90° (d) opposite sides are parallel.
10. The diagonals of a parallelogram ABCD intersect at O. If angleBOC = 85°, angle DBC =30 degree and angle BDC=65 Degree ,then angle DAC is. ............
(a) 10
(b) 20
(c) 40°
(d) 65​

Answer 1

Answer:

6. (c) two adjacent sides and one angle

Step-by-step explanation:

In Parallelogram, parallel sides equal so if we know two adjacent sides and one angles we can make a parallelogram.

Answer:

7. (c) its side or diagonal

Step-by-step explanation:

In square, all side are equal and all diagonal are also equal is we know any one of side or diagonal we can make a square as all angles between the side are 90° and also diagonal cut each other at right angles

Answer:

8. (d) none of these

Step-by-step explanation:

In Rhombus, all side are equal so if we know a side and a angle we can make a rhombus

Answer:

9. (c) diagonals bisect each other at 90°

Step-by-step explanation:

In Rhombus, diagonal bisects each other at right angles

Answer:

10. ∠DAC =  55°

Step-by-step explanation:

In parallelogram ABCD,

∠BOC = 85°

∠DBC =30 °

∠BDC= 65°

∠ACB = 180°  - 30°  - 85°  (angles sum property of a triangle)

∠ACB = 55°  

AD is parallel to BC

∠DAC = ∠ACB = 55 (alternate interior angles )

∠DAC =  55°

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