Finding Lengths and Tangents

The video tutorial explains how to find the perimeter of shapes with tangent lines and circles. It covers the concept of congruent tangents meeting at a common endpoint and demonstrates this through several examples. The tutorial also shows how to use subtraction to find missing segment lengths, ultimately calculating the perimeter of various geometric figures.

What is the main objective of the problem discussed in the video?

• To find the area of a circle

• To calculate the perimeter of a quadrilateral with a circle inside

• To measure the angles of a quadrilateral

• To determine the radius of a circle

According to the theorem discussed, what is true about two tangents that meet at a common endpoint?

• They are congruent

• They are parallel

• They are perpendicular

• They are equal in area

If one tangent length is 11.8, what is the length of the tangent meeting it at a common endpoint?

• 12.7

• 10.5

• 13.0

• 11.8

What is the first step in finding the perimeter of the quadrilateral?

• Dividing the lengths of tangents

• Multiplying the lengths of tangents

• Adding the lengths of all sides

• Subtracting the lengths of tangents

In the first example, what is the total perimeter calculated?

• 51 units

• 84.4 units

• 253 units

• 71.8 units

What is the twist in the second example?

• Using addition to find missing lengths

• Using division to find lengths

• Using subtraction to find missing lengths

• Using multiplication to find lengths

If a tangent length is 6.6 and the total length is 14.5, what is the length of the other segment?

• 6.6

• 8.5

• 7.9

• 5.9

What is the total perimeter calculated in the second example?

• 84.4 units

• 51 units

• 253 units

• 71.8 units

In the third example, what is the first twist encountered?

• Subtracting to find a missing length

• Finding the area of a segment

• Dividing to find a missing length

• Multiplying to find a missing length

What is the length of the segment if the total is 18.9 and one part is 13?

• 7.9

• 5.9

• 6.9

• 8.9