Geometry: A/S/N

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Sometimes

The bisector of an angle of a triangle divides it into two similar triangles.

Never

The diagonals of a trapezoid bisect each other.

Always

Two isosceles right triangles are similar

Always

Two isosceles triangles are similar if a base angle of one is congruent to a base angle of another

Sometimes

Two isosceles triangles are similar if an angle of one is congruent to an angle of the other.

Always

Two isosceles triangles are similar if the vertex of one is congruent to the vertex angle of another.

Always

Two regular pentagons are similar.

Never

An equilateral triangle is similar to a scalene triangle.

Always

If a triangle is equilateral, then its equiangular.

sometimes

Rhombuses are similar

Always

If 2 similar convex polygons have sides with lengths in the ratio 1:1, they are congruent.

Always

If 2 triangles are similar, their corresponding alititudes have the same ratios as their perimeters.

Sometimes

If TRIANGLE ABC ~ TRIANGLE DEF and TRIANGLE DEF ~ TRIANGLE SOT, then AC=ST

Always

If a line is one of the trisectors of one side of a triangle and is parallel to a second side, then it is one of the trisects of the 3rd side

Never

If the ratio of the measures of a pair of corresponding sides of two similar polygons is 3:4, then the ratio of the perimeters is 5:6.

Always

If two angles are supplementary and congruent, they are right angles.

Sometimes

If two sides of one triangle are proportional to two sides of a second triangle, then the triangles are similar.

Always

In two triangles, if all 3 pairs of corresponding angles are proportional, then the triangles are similar.

Sometimes

If a quadrilateral is equilateral then its equiangular.

Always

Two right triangles are similar if the legs of one are proportional to the legs of another.


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