Question

Use the diagram to solve for segments SW and WQ. Show your work and/or explain how you determined the answer. Hint: See Lesson 3.09 > Learn > A Closer Look: Describe Intersecting Chord Relationships.
2 points for each answer and 2 points for showing your work. Don’t forget to label your answers.

Answer 1

Answer:

QW=12 cm

SW= 6 cm

Step-by-step explanation:

Concept used:

If AB and CD be two chords intersect at P internally, then

$PA*PB=PC*PD$

since PR and QS intersect at W internally,

we have

PW*RW=QW*SW

$9*8=(12x)(6x)$

$72=72x^2$

$72x^2=72$

$x^2=1$

$x=1$

QW=12(1)=12 cm

SW=6(1) = 6 cm