$CATEGORY: Maths - TicTacLearn/6. Triangles/6. Triangles--Similar Figures

//Multiple Choice

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

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

In triangle ABC, DE is parallel to BC. If AD/DB \= 2/3, then the ratio of the areas of triangle ADE and trapezium DECB is\: {
~ 2\:3
= 4\:9
~ 1\:4
~ 1\:9
}

The diagonal of a rhombus divides it into two\: {
~ Similar triangles
= Congruent triangles
~ Right-angled triangles
~ None of the above
}

If two triangles have sides in the ratio 3\:5, then the ratio of their perimeters is\: {
= 3\:5
~ 9\:25
~ 5\:3
~ Cannot be determined
}

In a pair of similar triangles, if one side of the smaller triangle is 5 cm and the corresponding side of the larger triangle is 15 cm, the scale factor is\: {
~ 1\:2
= 1\:3
~ 3\:1
~ 2\:1
}

Two isosceles triangles are similar if\: {
~ Their base angles are equal
~ Their vertex angles are equal
~ Their sides are proportional
= All of the above
}

Which of the following is true for all similar triangles? {
~ Their corresponding angles are equal.
~ The ratios of their corresponding sides are equal.
= Both (a) and (b).
~ None of the above.
}

//True or False

Two rectangles are always similar. {F}

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

The diagonals of a parallelogram divide it into two similar triangles. {T}

If two triangles have the same shape but different sizes, they are congruent. {F}

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

//Numericals



//Fill in the blanks

If two triangles are similar, their corresponding _______ are proportional. {
     ~ Areas
     = Sides
     ~ Angles
     }

 The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding _______. {
     = Sides
     ~ Angles
     ~ Perimeters
     }

 Two similar figures always have the same _______. {
     ~ Size
     = Shape
     ~ Both (a) and (b)
     }

 A triangle divides a parallelogram into two _______ triangles. {
     ~ Right-angled
     ~ Isosceles
     = Congruent
     }

 Two squares are _______ similar. {
     = Always
     ~ Sometimes
     ~ Never
     }


//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Two similar figures -> Have proportional sides
=The scale factor of triangles -> Ratio of corresponding sides
=Similar triangles -> Same shape but different size
=Ratio of areas -> Square of the scale factor
}



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