The ratio of the side and height of an equilateral triangle is

• 1:1

• 2:$\sqrt{3}$

• $\sqrt{3}$:2 

• 2:1

With an activity on paper folding, a teacher was trying to depict the relationship of the areas of a parallelogram and a triangle. Which of the following best depicts the transformation of stages?

In the given figure, PS=SQ=SR and $\angle$SPQ=54^o. Find the measure of $\angle \mathrm{x}$.

• 72^o

• 108^o

• 36^o

• 54^o

The area of a triangle with base x units is equal to the area of a square with side x units. Then, the altitude of the triangle is

• x units
  
  

• 2x units
  
  

• 3x units
  
  

• x/2 units

The ratio between the length and the perimeter of a rectangular plot is 1 : 3. What is the ratio between the length and breadth of the plot?

• 2:1
  
  

• 3:2
  
  

• Data inadequate
  
  

• 1:2

A square sheet ABCD, when rotated on its diagonal AC as its axis of rotation, sweeps a

• spindle
  
  

• cylinder
  
  

• trapezium
  
  

• cone

A suitable approach to introduce Coordinate Geometry in Class IX is through the use of demonstration using 

• technology integration

• solving problems

• lecture method

• role play

How many lines of symmetry does a parallelogram have?

• None

• 4

• 3

• 2

19.

In the figure, ABC is an isosceles triangle with CA = CB and BC is produced to a point D. If CE$\perp$BC, such that $\angle \mathrm{D}=\frac{1}{2}\angle \mathrm{E}=\frac{1}{2}\angle \mathrm{A}$ , then measure of $\angle$ACD is

• 135°

• 140°

• 110°

• 120°

The diameter of a cylindrical jar is increased by 25%. By what per cent must the height of the jar be decreased so that there is no change in its volume?

• 36

• 54

• 10

• 25