Segment & Angle Addition, and Midpoint

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

Define Midpoint.

Back

The midpoint of a segment is the point that divides the segment into two equal parts.

Front

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

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

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 RT = 36 and RT is divided into segments RS and ST, how do you express this mathematically?

Back

RS + ST = RT, so RS + ST = 36.

Front

What is the formula to find the length of a segment given its endpoints?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If HJ = 7x - 27 and HJ = 7, how do you solve for x?

Back

Set 7x - 27 = 7, then solve for x: 7x = 34, x = 34/7.

Front

What is the relationship between complementary angles?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is the relationship between supplementary angles?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

If angle A measures 70 degrees, what is the measure of its complement?

Back

The complement of angle A is 20 degrees (90 - 70 = 20).