Use proportions to create similar triangles in this activity.
[size=150][b]Similar triangles[/b] are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their [url=https://byjus.com/maths/corresponding-angles/]corresponding angles[/url] are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.[br][br][/size] [color=#0000ff][b]Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. [/b][/color][br]
What is the measurement of the red side of the 2nd triangle so that it would be similar to the first one?
Find the ratio of the one side of the triangle to find the triangle similar to the the one
How are the lengths of the corresponding sides of the two triangles related? Can you express this relationship as a ratio or proportion?[br]
What do you observe about the corresponding angles of the two triangles? How does this help you conclude that the triangles are similar?