Ch.5 Flashcard Review and Section 5-4

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex of a triangle that is perpendicular to the line containing the opposite side.

Front

What is the first step of an indirect proof?

Back

Assume the negation of the statement to be proved is true.

Front

How do you find the centroid of a triangle with vertices A(x1, y1), B(x2, y2), C(x3, y3)?

Back

The centroid (G) is found using the formula G = ((x1+x2+x3)/3, (y1+y2+y3)/3).

Front

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

Back

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

Front

What is a median in a triangle?

Back

A median is a segment from a vertex to the midpoint of the opposite side.

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

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

Front

What is the second step of an indirect proof?

Back

Reason until you find a contradiction to a known fact.

Front

How do you find the coordinates of the centroid of a triangle with vertices A(0, -2), B(0, 4), and C(3, 1)?

Back

The centroid is (1, 1).

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.