SAS similarity theorem- if an angle of one triangle is congruent to an angle of a seond triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.
example shown above
test question 1) This theorem states that if an angle of one triangle is congruent to an angle of another triangle and the sides including though angles are in proportion, then the triangles are similar.(for the given and what to prove refer to the picture below)
Given- AE = 8; EB= 8; triangle AED and ABC are isosceles
prove- triangle AED is similar to triangle ABC
test question 1) This theorem states that if an angle of one triangle is congruent to an angle of another triangle and the sides including though angles are in proportion, then the triangles are similar.(for the given and what to prove refer to the picture below)
Given- AE = 8; EB= 8; triangle AED and ABC are isosceles
prove- triangle AED is similar to triangle ABC
test question 2) are the triangles similar?
since the ratios reduce to the same fraction they are similar!