Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
2 answers:
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, isosceles triangle, right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
AA similarity theorem states that two corresponding angles of two triangles are congruent then the two triangles are similar.
We can see that from triangle EFG and triangle GHJ that:
∠JHG = ∠GFE (given)
Also, ∠EGF = ∠JGH (vertical opposite angles are equal).
Since two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.
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