Geometry: Properties of Segments and Angles

This video tutorial covers the addition and subtraction properties of segments and angles in geometry. It explains how adding or subtracting segments or angles affects their congruence, using examples to illustrate these properties. The video also includes example problems to demonstrate the application of these properties in solving geometric problems.

What happens when a segment is added to two congruent segments?

• The resulting segments are equal in length.

• The resulting sums are congruent.

• The resulting sums are not equal.

• The resulting segments are not congruent.

In the example with segments AD, AB, BC, and CD, what is the length of segment AC?

• 10 units

• 5 units

• 3 units

• 8 units

What is the result when an angle is added to two congruent angles?

• The resulting angles are not congruent.

• The resulting angles are equal in measure.

• The resulting sums are not equal.

• The resulting sums are congruent.

In the angle example, what is the measure of angle ABE?

• 180 degrees

• 40 degrees

• 110 degrees

• 70 degrees

What does the subtraction property of segments state?

• Subtracting a segment from two congruent segments results in equal segments.

• Subtracting a segment from two congruent segments results in congruent differences.

• Subtracting a segment from two congruent segments results in unequal segments.

• Subtracting a segment from two congruent segments results in non-congruent differences.

In the subtraction example, what is the length of segment AB after subtraction?

• 5 units

• 7 units

• 10 units

• 3 units

In the example problem, what is the value of x when solving for segment BD?

• 4

• 5

• 3

• 2

What is the length of segment BD in the example problem?

• 15 units

• 12 units

• 20 units

• 17 units

In the second example problem, what is the value of x when solving for segment AC?

• 4

• 3

• 5

• 2

What is the length of segment AC in the second example problem?

• 22 units

• 20 units

• 24 units

• 18 units