TRIANGLES

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Two figures having the same shape are called .

All squares with the same side lengths are congruent and all equilateral triangles with the same side lengths are .

All congruent figures are similar but the similar figures need not be .

All circles are

All squares are

All triangles are

If corresponding angles of two triangles are equal, then they are known as triangles.

If a line divides any two sides of a triangle in the same ratio, then the line is to the third side.

If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are .

The ratio of the areas of two similar triangles is equal to the of the ratio of their corresponding sides.

In a right triangle, the square of the is equal to the sum of the squares of the other two sides.

If in a triangle, square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a .

The ratio of the areas of two is equal to the square of the ratio of their corresponding sides.

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the .