IMAT MATH 15 June

For two isosceles triangles to be similar it is sufficient that

• have equal bases.

• the angles opposite the base are the same.

• have the same areas

• two isosceles triangles are always similar

A right triangle is also isosceles. His hypotenuse is one meter long. How large is the area of ​​the triangle?

The sum of the interior angles of a non-regular pentagon

• is certainly less than 540 °

• depends on the length of the sides

• is 540°

• is 360°

A square has side L, with L greater than 3. If we decrease the side by 3 the area will decrease by

• 6L-9

• 3(L-3)

• 9L

• 6L+9

To be the area of the shaded parallelogram equal to the area of the remaining part x must be equal to

• ab

A circle with radius R and a square with side L are equivalent, it means

The ray PT is tangent to the circumference at point T. The segment PO measures 2r. The OPT angle is

• 45°

• 90°

• 30°

• 60°

ABCDEF is a regular hex. Determine the size of the angle AEB

• 30°

• 25°

• 20°

• 15°

If you double the radius of a sphere, its volume

• doubles

• triples

• multiply by 8

• multiply by 6