Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 8, 4. The sides of the triangle on the right are marked as 3, 4, and 2. For the triangle on the left, the angle between sides marked 8 and 6 is labeled as p, marked by a double arc, and the angle between the sides marked 8 and 4 is labeled as q, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 2 and 4 is labeled as r and the angle between the sides marked 4 and 3 is labeled as s, marked by a double arc. The angle between the sides 2 and 3 is labeled as t, marked by a triple arc and it is also the angle on the top vertex of this triangle. Which two sets of angles are corresponding angles? ∠p and ∠r; ∠q and ∠s ∠p and ∠s; ∠q and ∠r ∠p and ∠t; ∠q and ∠s ∠p and ∠t; ∠q and ∠r

Mathematics · Middle School · Tue Nov 03 2020

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Two similar triangles are shown below: 

The sides of the triangle on the left are marked 6, 8, 4. The angle between sides marked 8 and 6 is labeled as "p", marked by a double arc, and the angle between the sides marked 8 and 4 is labeled as "q", marked by a single arc. The third angle is marked by a triple arc and labelled as"u". 

The sides of the triangle on the right are marked as 3, 4, and 2. The angle between sides marked 2 and 4 is labeled as "r" and the angle between the sides marked 4 and 3 is labeled as “s”, marked by a double arc. The angle between the sides 2 and 3 is labeled as "t", marked by a triple arc and it is also the angle on the top vertex of this triangle. 

If two triangles are similar then their angles are said to be corresponding angles.

So the corresponding angles are:

∠q and ∠r (single arc angles), 

∠p and ∠s (double arc angles), 

∠u and ∠t (triple arc angles).