7.3: Segments in Circles

7.3: Segments in Circles

Objective: I will be able to solve for missing segment lengths in circles

Intersecting Chords Theorem

• To find the length of two chords intersecting at a point:

•  $a\times b=c\times d$  

Multiple Choice

Solve for x.

• 4

• 6

• 9

• 7

Fill in the Blank

Solve for x

Multiple Choice

Solve for x.

• 10

• 15

• 7.5

• 8

Tangent - Secant Theorem

• The measure of an intersecting tangent & secant line:

•  $a^2=b\left(b+c\right)$  

Multiple Choice

Solve for x.

• 18

• 144

• 12

• 16

Fill in the Blank

Solve for x.

Fill in the Blank

Solve for x.

Secant-Secant Theorem

• The measure of two intersecting secant lines:

• 
   $a\left(a+b\right)=c\left(c+d\right)$  
  

Multiple Choice

Solve for x.

• 12

• 1.5

• 1

• 4

Fill in the Blank

Solve for x

Fill in the Blank

Solve for x.

Tangent - Tangent Theorem

• Two intersecting tangents are equal to each other

• AB = CB

Fill in the Blank

Solve for x.