segment and angle addition postulate

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

What is a midpoint?

Back

A midpoint is a point that divides a line segment into two equal parts.

Front

If AB = 5 and BC = 10, what is AC?

Back

AC = AB + BC = 5 + 10 = 15.

Front

If GH = 8 and HI = 17, find GI using the Segment Addition Postulate.

Back

GI = GH + HI = 8 + 17 = 25.

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

If point D is the midpoint of segment AB, and AB = 12, what is AD?

Back

AD = AB/2 = 12/2 = 6.

Front

What is the relationship between angles that are adjacent?

Back

Adjacent angles share a common vertex and a common side but do not overlap.

Front

If m∠1 = 30° and m∠2 = 50°, what is m∠3 if ∠1 and ∠2 are adjacent and form a straight line?

Back

m∠3 = 180° - (m∠1 + m∠2) = 180° - (30° + 50°) = 100°.

Front

What is the formula to find the length of a segment given its endpoints (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).