Geometry Chapter 8 Always/Sometimes/Never
Never
An obtuse triangle is similar to an acute triangle.
Sometimes
If a line intersects two sides of a triangle, it splits them proportionally.
Never
If the ratio of corresponding sides of two similar triangles is 3 to 4, the ratio of the perimeters is 9 to 16.
Always
If two triangles are congruent, they are similar.
Sometimes
If two triangles are similar, they are congruent.
Never
The geometric mean between any two positive numbers is larger than the arithmetic mean. (Assume the numbers are different.)
Always
Two equilateral triangles are similar.
Sometimes
Two isosceles triangles are similar.
Sometimes
Two rectangles are similar.
Always
Two right triangles are similar if the legs of one are proportional to the legs of another.
Always
Two squares are similar.
