segments and angles addition

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

Define an angle. What is its measure?

Back

An angle is formed by two rays with a common endpoint, called the vertex. Its measure is the amount of rotation from one ray to the other, typically measured in degrees.

Front

What is the Angle Addition Postulate?

Back

If point D is in the interior of angle ABC, then m∠ABD + m∠DBC = m∠ABC.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of two complementary angles is 90 degrees.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of two supplementary angles is 180 degrees.

Front

Find the missing angle if one angle measures 30 degrees and they are complementary.

Back

The missing angle measures 60 degrees (90 - 30 = 60).

Front

Find the missing angle if one angle measures 110 degrees and they are supplementary.

Back

The missing angle measures 70 degrees (180 - 110 = 70).

Front

In a triangle, if one angle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees (180 - 50 - 60 = 70).

Front

What is the relationship between the angles formed by two intersecting lines?

Back

The opposite angles (vertical angles) are equal, and the adjacent angles are supplementary.

Front

If GH = 8 and HI = 17, what is GI?

Back

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