CHAPTER 5 TEST RELATIONSHIPS WITHIN TRIANGLES

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

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal parts.

Front

How do you determine if a triangle can exist with given side lengths?

Back

A triangle can exist if the sum of the lengths of any two sides is greater than the length of the third side (Triangle Inequality Theorem).

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

If PQ is the perpendicular bisector of MN, what can be said about the lengths of MP and PN?

Back

MP = PN; they are equal in length.

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

In a right triangle, the length of the hypotenuse (c) can be found using the formula: c² = a² + b², where a and b are the lengths of the other two sides.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.