$CATEGORY: Maths - TicTacLearn/6. Triangles/6. Triangles--Similarity of Triangles

//Multiple Choice

In a triangle, if a line parallel to one side intersects the other two sides, then the two sides are divided\: 
{
= Proportionally
~ Equally
~ Unequally
~ None of these
}

The Basic Proportionality Theorem is also known as\: 
{
~ Midpoint Theorem
= Thales' Theorem
~ Pythagoras Theorem
~ Converse of Thales' Theorem
}

Two triangles are similar if\: 
{
~ Their corresponding angles are equal
~ Their corresponding sides are proportional
= Both (a) and (b)
~ None of the above
}

If ΔABC \~ ΔDEF and AB/DE \= 3/5, then the ratio of their areas is\: 
{
~ 3\:5
= 9\:25
~ 25\:9
~ None of these
}

If a line divides two sides of a triangle proportionally, then the line is\: 
{
~ Perpendicular to the third side
= Parallel to the third side
~ An angle bisector
~ None of these
}

In ΔABC, if DE || BC and AD/DB \= 2/3, then AE/EC is\: 
{
= 2/3
~ 3/2
~ 4/3
~ 2
}

If two triangles are similar, then the ratio of their perimeters is equal to\: 
{
~ The square of the ratio of their corresponding sides
~ The cube of the ratio of their corresponding sides
= The ratio of their corresponding sides
~ None of these
}

//True or False

Two triangles are similar if their corresponding angles are equal. {T}

The Basic Proportionality Theorem applies only to isosceles triangles. {F}

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. {T}

The line dividing two sides of a triangle proportionally is always perpendicular to the third side. {F}

If ΔABC \~ ΔDEF, then AB/DE \= BC/EF \= AC/DF. {T}

In a triangle, a line drawn parallel to one side divides the other two sides equally. {F}

All equilateral triangles are similar. {T}

The Basic Proportionality Theorem is also called Thales' Theorem. {T}

//Numericals



//Fill in the blanks

In a triangle, if a line divides two sides in the same ratio, then it is _______ to the third side. {
~ Perpendicular
= Parallel
~ Equal
}

The Basic Proportionality Theorem is also known as _______ Theorem. {
~ Pythagoras
= Thales'
~ Midpoint
}

In ΔABC, if DE || BC and AD \= 3 cm, DB \= 6 cm, AE \= 4 cm, then EC \= _______. {
~ 6 cm
= 8 cm
~ 12 cm
}

If two triangles are similar, then the ratio of their areas is equal to the _______ of the ratio of their corresponding sides. {
= Square
~ Cube
~ Double
}

If a triangle is divided into two smaller triangles by a line parallel to one of its sides, the two triangles are _______. {
= Similar
~ Congruent
~ Neither
}

If ΔABC \~ ΔPQR and AB \= 6 cm, PQ \= 9 cm, then the scale factor is _______. {
= 2/3
~ 3/2
~ 4/3
}

In ΔABC, if DE || BC and AD \= 4 cm, DB \= 8 cm, then AE/EC \= _______. {
= ½
~ 2/1
~ 4/3
}

In similar triangles, the ratio of their perimeters is equal to the ratio of their _______. {
~ Corresponding angles
= Corresponding sides
~ Areas
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Basic Proportionality Theorem -> Thales' Theorem
=Similar triangles -> Corresponding angles are equal
=Ratio of areas -> Square of the ratio of corresponding sides
=Parallel line in triangle -> Divides sides proportionally
}



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