Similar Triangles and Tangent of an angle

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If tan(C) = 24/7, what does this represent in a right triangle?

Back

This represents that for angle C, the length of the side opposite to angle C is 24 units, and the length of the side adjacent to angle C is 7 units.

Front

Which statement is NOT true about similar figures?

Back

Similar figures always have the same size.

Front

What is the similarity statement for two similar triangles?

Back

The similarity statement indicates that two triangles are similar, such as ΔXYZ~ΔNEW.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if their corresponding sides are proportional.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two triangles have angles measuring 40°, 60°, and 80°, are they similar?

Back

Yes, they are similar because they have the same angle measures.

Front

What is the formula to find the tangent of an angle X if the opposite side is 32 and the adjacent side is 24?

Back

tan(X) = opposite/adjacent = 32/24.

Front

What does the symbol '~' signify in triangle similarity?

Back

The symbol '~' signifies that two triangles are similar.