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Fill in the gap : The ratio of the area...

Fill in the gap :
The ratio of the areas of two similar triangles is equal to the square of the ratio of their _______.

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Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Prove that the ratio of the areas of two similar triangle is equal to the square of the ratio of their corresponding medians.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the bisectors of the corresponding angles of the triangles. [The end-points of the angular bisectors are on the opposite sides of the angles.]

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding altitudes of the triangles.

If the areas of a similar triangle are equal,prove that they are congruent.

Prove that the ratio of altitudes of two similar triangles is equal to the ratio of their corresponding sides.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding altitudes.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding medians.

Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding angle bisector.

If the altitude of two similar triangle are in the ratio 2:3 what is the ratio of their areas?

KALYANI PUBLICATION-PYTHAGORAS THEOREM-EXERCISE
  1. An aeroplane leaves an airport and flies due north at a speed of 1000 ...

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  2. In an isosceles triangle ABC if AC=BC and AB^2 = 2AC^2, prove that /C ...

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  3. The length of the sides of a triangle are ax-by,ay+bx and sqrt((a^2+b^...

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  4. The length of the sides of a triangle are a+b,ab-1 and sqrt((a^2+1)(b^...

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  5. In the triangle ABC, BC = m^2 -n^2, AC =3 mn and AB = m^2+n^2. Prove t...

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  6. The perimeter of two similar triangles are respectively 25cm. and 15 c...

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  7. X is point on PQ and Y is a point on PR of a ∆PQR such that XY||QR. If...

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  8. Corresponding sides of two similar triangles are in the ratio 2:3. If ...

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  9. The areas of two similar triangles ABC and PQR are in the ratio 9:16. ...

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  10. In a right angle triangle the length of the sides adjacent to the righ...

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  11. All squares are -. (Similar, congruent)

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  12. Fill in the gap : All rectangles are .

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  13. Fill in the gap : The ratio of the areas of two similar triangles is ...

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  14. Fill in the gap : Two triangles are similar if their sides are propo...

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  15. Fill in the gap : Pythagoras Theorem states that in a right angle, th...

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  16. In ∆LMN , /L = 60° , /M =50°. If ∆LMN ~ ∆PQR , Then the value of /R i...

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  17. ABC and BDE are two equilateral triangles such that D is the mid-point...

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  18. Sides of two similar triangle are in the ratio 4:9.Areas of these tria...

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  19. Length of an altitude of an equilateral triangle of side'2a' cm is

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  20. ∆ABC is an isosceles triangle in which /C = 90°. If AC = 6 cm, Then AB...

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