Unit 5 Test

Front

What is the Triangle Inequality Theorem?

Back

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

Front

Can a triangle have side lengths of 11.7, 7.11, and 19.1?

Back

No, because 11.7 + 7.11 is not greater than 19.1.

Front

What is the formula to find the length of a line segment between two points (x1, y1) and (x2, y2)?

Back

The length is given by the formula: √((x2 - x1)² + (y2 - y1)²).

Front

If AB = 17 and BC = 9, what is the length of AC if AC = AB + BC?

Back

AC = 17 + 9 = 26.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What does it mean for a triangle to be valid?

Back

A triangle is valid if the lengths of its sides satisfy the Triangle Inequality Theorem.

Front

If the lengths of two sides of a triangle are 6 and 8, what is the range of possible lengths for the third side?

Back

The third side must be greater than 2 and less than 14.

Front

What is the distance between points (3, 4) and (7, 1)?

Back

The distance is √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

If the length of LM is 68, what is the length of the segment if it is halved?

Back

The length of the segment when halved is 34.