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Identify Similar Triangles Formed By An Altitude

True or False?

If an altitude is drawn from the vertex of a right-angled triangle, it forms three similar right-angled triangles.

True or False?

If two triangles share the same altitude and have a common base, they are similar.

True or False?

If an altitude is drawn from the vertex of an isosceles triangle to the base, it bisects the base and forms two similar right-angled triangles.

True or False?

If an altitude is drawn from the vertex of an obtuse-angled triangle, it forms two similar triangles.

True or False?

If an altitude is drawn from the vertex of a scalene triangle, it forms three similar right-angled triangles.

True or False?

If two triangles share the same altitude and have bases on different sides of the altitude, they are not necessarily similar.

True or False?

If an altitude is drawn from the vertex of a triangle, the base of the triangle is divided into segments that are proportional to the sides of the whole triangle.

True or False?

If an altitude is drawn from the vertex of a right-angled triangle, the resulting triangles are always similar.

True or False?

If an altitude is drawn from the vertex of an equilateral triangle, it forms three congruent right-angled triangles.

True or False?

Similarity of triangles formed by an altitude depends on the length of the altitude.