Question

Ryan and Kathy each drew a triangle with an angle of 20 degrees. Under which condition would the triangles be similar?

a) if both are right triangles

b) if both are obtuse triangles

c)if the triangles have the same area

d) if the triangles have the same perimeter

Answer 1

a)

As there would be two angles equal (20° and 90°) and then the triangles will be similar by AA similarity

Answer 2

Option (a) If both are right triangles is the correct answer.

• Three sides and three angles together create a triangle.
• Here, Ryan and Kathy drew triangles with the same angle.
• We can say that two triangles are similarly based on certain rules.
• When the triangle's corresponding sides and angles are the same then we can say those triangles are similar.
• In the given options, option (a) is one of the criteria used for triangle similarity.
• Right angle triangle means one of its angles is 90°, so here two corresponding angles are the same.