Chapter 6 Review - Geometry

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). For example, 'If it rains, then the ground is wet.'

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If p, then q' is 'If not p, then not q'. For example, the inverse of 'If I am hungry, then I eat' is 'If I am not hungry, then I don't eat.'

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'. For example, the contrapositive of 'If Max gets good grades, then he won't be grounded' is 'If Max gets grounded, then he didn't get good grades.'

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

Given side lengths 15, 12, and 9, does a triangle exist?

Back

Yes, because 15 + 12 > 9, 15 + 9 > 12, and 12 + 9 > 15.

Front

What is a possible length for segment AC if AB = 10 and BC = 15?

Back

The length of segment AC must be less than the sum of AB and BC (25) and greater than the difference (5). Possible lengths include 9, 10, 15, or 17.

Front

What is a geometric proof?

Back

A geometric proof is a logical argument that uses definitions, properties, and previously proven statements to show that a certain statement is true.

Front

What is the definition of a triangle?

Back

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

Front

What are the types of triangles based on side lengths?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (no sides equal).

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.