Special Segments in Circles Quiz

What is the chord product theorem used to determine?

• The area of a triangle

• The perimeter of a circle

• The relationship between angles in a triangle

• The relationship between segment lengths in a circle

In the chord product theorem, if EA * EB = EC * ED, what does this imply?

• The segments intersect at a point

• The segments are equal in length

• The segments are parallel

• The segments are perpendicular

What is the value of x in the equation 8 * x = 9 * 12?

• 12

• 13.5

• 14

• 15

In the biological example, what is the diameter of the field of view under the microscope?

• 1.5 millimeters

• 2 millimeters

• 2.5 millimeters

• 1 millimeter

What is the secant product theorem used for?

• Measuring angles in a triangle

• Finding the radius of a circle

• Determining the relationship between secant segment lengths

• Calculating the area of a circle

In the secant product theorem, what is the equation for the outside part times the whole segment?

• x * (x + 10) = (x + 4) * (x + 2)

• x^2 + 10x = x^2 + 6x + 8

• EH * (x + 8) = 10 * 34

• EA * EB = EC * ED

What is the value of x when solving 8 * (x + 8) = 340?

• 45

• 40

• 47.5

• 42.5

In the tangent secant product theorem, what is the equation for the outside part times the whole segment?

• x * (x + 10) = (x + 4) * (x + 2)

• EA * EB = EC * ED

• x^2 + x - 72 = 0

• 12^2 = x * (2x + 2)

What is the correct value of x in the equation 2x^2 + 2x = 144?

• 10

• 12

• 8

• 6

What is the segment length NL if x = 3 in the equation 3x + 3?

• 9

• 10

• 12

• 11