Segment & Angle Addition, and Midpoint

Front

What is the midpoint of a segment?

Back

The midpoint of a segment is the point that divides the segment into two equal parts. It can be found using the formula: Midpoint M = ((x1 + x2)/2, (y1 + y2)/2) where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Front

How do you find the midpoint between two points (x1, y1) and (x2, y2)?

Back

Use the midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If A(2, 4) and B(6, 8), what is the midpoint M of segment AB?

Back

M = ((2 + 6)/2, (4 + 8)/2) = (4, 6).

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

If m∠ABC = 103°, what is the measure of angle x if m∠ABD + m∠DBC = m∠ABC?

Back

If m∠ABD = x and m∠DBC = 15°, then x + 15° = 103°, so x = 103° - 15° = 88°.

Front

What is the definition of a segment?

Back

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

Front

How do you calculate the length of a segment between two points (x1, y1) and (x2, y2)?

Back

Use the distance formula: Length = √((x2 - x1)² + (y2 - y1)²).

Front

If UW = 6x - 35 and UW = 67, what is the value of x?

Back

Set the equation: 6x - 35 = 67. Solving gives x = 17.

Front

What is the definition of an angle?

Back

An angle is formed by two rays with a common endpoint called the vertex.

Front

What is the relationship between complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.