Geometry (MEANING OF SIMILARITY - THEOREMS)
Why are all equilateral triangles similar?
ASA Similarity Postulate
THEOREM 5-3
If three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar. (SSS for similar triangles)
THEOREM 5-2
If two sides of one triangle are proportional to two sides of another triangle and included angles are equal, then the triangles are similar. (SAS for similar triangles)
In a pair of similar polygons, corresponding angles are congruent.
always
Right isosceles triangles are similar.
always
Which of the triangle(s) shown is similar to triangle c? https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/groupi20.gif
e,f,b and h
ABC ~ ADE https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/groupi19.gif BC is parallel to DE. AB = x, AD = 5, AC = x+1 and AE = 7. The value of x is
2.5
ABC ~ ADE https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/groupi19.gif BC parallel to DE. BC = 6, DE = 9 Which of the following could be the lengths of AB and BD respectively?
4 and 2
Acute triangles are similar.
sometimes
Isosceles triangles are similar.
sometimes
Right triangles are similar.
sometimes
ABC ~ ADE https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/groupi19.gif AC = 4, AE = 7, AD = 10, what is the length of AB?
5 5/7
ABC ~ ADE https://internationalvla.sooschools.com/media/g_geo_ccss_2016/5/groupi19.gif If BC is parallel to DE, then all of the following are equivalent to each other except
AE/AC