Find four similar triangles. Explain how you know that they are all similar.
Similar Triangles
In triangular mathematics, two or more than two triangles are called similar if the ratio of their corresponding sides is equal and the corresponding angles are congruent.
In general, it can be said that two similar triangles are similar in shape but not in size.
There are basically three rules to prove the similarity of two triangles:
1).
Angle-Angle (AA)
: two angles of one triangle are congruent with the two angles of the second triangle.
2).
Side-Angle-Side (SAS)
: two corresponding sides are in the same proportion and the angle included by these sides is equal.
3).
Side-Side-Side (SSS)
: all three sides of the triangles are in the same proportion
Answers & Comments
Answer:
Find four similar triangles. Explain how you know that they are all similar.
Similar Triangles
In triangular mathematics, two or more than two triangles are called similar if the ratio of their corresponding sides is equal and the corresponding angles are congruent.
In general, it can be said that two similar triangles are similar in shape but not in size.
There are basically three rules to prove the similarity of two triangles:
1).
Angle-Angle (AA)
: two angles of one triangle are congruent with the two angles of the second triangle.
2).
Side-Angle-Side (SAS)
: two corresponding sides are in the same proportion and the angle included by these sides is equal.
3).
Side-Side-Side (SSS)
: all three sides of the triangles are in the same proportion