Chapter 7 Honors Geometry Similarity Sometimes, Always, Never
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22 Terms
If two triangles are similar, then they are congruent
Sometimes
If two triangles are congruent, then they are similar
Always
An obtuse triangle is similar to an acute angle
Never
Two right triangles are similar
Sometimes
Two equilateral polygons are similar
Sometimes
Two equilateral triangles are similar
Always
Two rectangles are similar if neither is a square
Sometimes
Two isosceles triangles are similar if a base angle of one is congruent to a base angle of another
Always
Two Isosceles triangles are similar if the vertex angle of one is congruent to the vertex angle of the other
Always
An equilateral triangle is similar to a scalene triangle
Never
If two sides of one triangle are proportional to two sides of another triangle, then the triangles are similar
Sometimes
In Triangle ABC
Never
Two right triangles are similar if the legs of one are proportional to the legs of the other
Always
If the ratio of the measures of a pair of corresponding sides of two similar polygons is 3:4, then the ratio of the polygons perimeters is 6:8
Always
If p/q= r/s then p/s=q/r
Sometimes
If two triangles are similar and their corresponding side lengths are in a 4:3 ratio, then each pair of corresponding medians is in a 4:3 ratio as well.
Always
Two quadrilaterals with the same four angle measurements are similar.
Sometimes
Two quadrilaterals with all corresponding side lengths in the same ratio are similar.
Sometimes
Two circles are similar.
Always
Two rectangles are similar.
Sometimes
Two isosceles triangles are similar.
Sometimes
Two equilateral triangles are similar.
Always