325 (p 92-106) Tri Inequality & Similar Tri Plus Algebra (2025)

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Can the lengths 3ft, 7ft, and 8ft form a triangle?

Back

Yes, because 3 + 7 > 8, 3 + 8 > 7, and 7 + 8 > 3.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the notation for similar triangles?

Back

The notation for similar triangles is represented by the symbol '~'. For example, if triangle ABC is similar to triangle DEF, it is written as ΔABC ~ ΔDEF.

Front

How do you find the corresponding sides of similar triangles?

Back

To find corresponding sides of similar triangles, match the angles of the triangles and identify the sides opposite those angles.

Front

Evaluate the function f(x) = \frac{3}{5}x + 8 for f(9).

Back

f(9) = \frac{3}{5}(9) + 8 = \frac{27}{5} + \frac{40}{5} = \frac{67}{5}.

Front

What is the perimeter of a triangle with sides 12, 12, and 12?

Back

The perimeter is 12 + 12 + 12 = 36.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = a + b + c.

Front

If two triangles are similar, how do you find the ratio of their areas?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.