Question 2 :
A transversal intersects two lines in such a way that the two interior angles on the same side of the transversal are equal. Will the two lines always be parallel?

Question 3 :
The angles of a triangle are in the ratio 5 : 3 : 7. The triangle is _________.

Question 4 :
How many triangles can be drawn having its angles as $53^{\circ}$ $64^{\circ}$ and $63^{\circ}$?

Question 6 :
If a transversal intersects two parallel lines, then corresponding angles are __________.

Question 8 :
An exterior angle of a triangle is $105^{\circ}$ and its two interior opposite angles are equal. What is the value of each of these equal angles?

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14ff59b460d7261f41a.png' /> In the above figure, $∠$1 = $60^{\circ}$ and ∠6 = $120^{\circ}$. Thus, the lines 'm' and 'n' are ____________.

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d148f59b460d7261f410.png' /> In the above figure, AB, CD and EF are three lines concurrent at O. Find the value of 'y'.

Question 11 :
A shopkeeper has one spherical laddoo of radius 5cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made?

Question 12 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the cost of sheet for it , if a sheet measuring 1 $m^2$ costs Rs 20.

Question 13 :
A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.

Question 14 :
Find the amount of water displaced by a solid spherical ball of diameter 28 cm.

Question 15 :
Find the total surface area of a hemisphere of radius 21 cm.

Question 16 :
Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions $4m\times3m$?

Question 17 :
If we have a cuboid whose length, breadth and height are 15 cm, 10 cm and 20 cm respectively, then its surface area would be:

Question 18 :
State true or false: Total surface area of hemisphere is $4\pi r^{2}$.

Question 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d239f59b460d7261f56b.jpeg' /> In the above image, at a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses (see the above image) of radius 3 cm up to a height of 8 cm, and sold for Rs 15 each. How much money does the stall keeper receive by selling the juice completely?

Question 20 :
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

Question 21 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d20cf59b460d7261f52a.PNG' /> In the above fig, ABCD is a parallelogram in which P and Q are mid-points of opposite sides AB and CD. If AQ intersects DP at S and BQ intersects CP at R, then DPBQ is a ______________.

Question 22 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d206f59b460d7261f522.PNG' /> In the above fig, if the diagonals of a quadrilateral bisect each other, then it is a ____________.

Question 23 :
What type of quadrilateral is formed by the bisectors of the angles of a parallelogram?

Question 25 :
In quadrilateral ABCD, $\angle A + \angle D = 180^{\circ}$. What special name can be given to this quadrilateral?

Question 27 :
All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?

Question 28 :
If the diagonals of a quadrilateral bisect each other at right angles, then it is a ________.

Question 29 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d202f59b460d7261f51d.PNG' /> In the fig shown above, (v) is a ___________ ?

Question 30 :
ABCD is a rectangle in which diagonal AC bisects ∠ A as well as ∠ C. ABCD is a _________.