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Lesson 20: Circles: Tangents and SecantsDirections: Solve each problem and use a pencil to DBA W the object that corresponds with

SHOW YOUR STEPS' ,vour answer. ,...1. Solve for x. .2. Solve for x. 3. Solve for x.

5 12 4x\ .

x 3x-6 lOx-24 -(a) If x = 5 draw the n (a) If x = 4 draw thefollowing leather following eyes inside Q~helmet on the head. (a) If x = 12 draw the

~the goggles.

(b) If x = 25 draw the A following goggles. (b) If x = 6 draw thefollowing leather (b) If x = 6 draw the

~following eyes inside ca[a

helmet on the head. following aozeles. the g02e:les.

4. Perimeter = 5. Perimeter = . 6. Solve for x .

8 6 ~ 12 0°0~ 4

12 15 1112 6 30°

(a) If P = 40 draw the /\/\ (a) If P = 68 draw U (a) If x = 10° draw~following eyebrows. the following nose. the following smile.

(b) If P = 42 draw the rJ"I'Nv\ (b) If P = 66 draw~

(b) If x = 40° draw <::»following eyebrows. the following nose. the following smile.

7. Solve for x. 60° 8. Solve for x. 9. Solve for x. x

(j) 700~X@

80°15°

(a) If x = 10° draw the crup (a) If x = 40° draw the Q(a) If x = 22.5° draw following shoulder straps following large parachute

a scar on one ann. <: on the shirt. above the head.

(b) If x = 55° draw the 1JI? (b) If x = 20° draw the @(b) If X= 37.5° draw~ following shoulder straps following large parachute

a scar on the face. on the shirt. above the head.

10. Solve for x. 11. Solve forx. 12. Solve for x.

x 25° 85° r>; x 260°~1200(a) If x·=30° draw (a) If x =180° draw

straight lines to attach ~\If (a) If x=81° draw THREE birds on the ~

the parachute to the TWO birds on the LEFT tv' RIGHT side of the ~"V\

back of the shirt. side of the picture.f'V'" picture.

(b) If x = 55° draw

~\}i (b) If x = 39° draw °0(b) If x = 80° draw

C?owavy lines to attach the TWO clouds on the THREE clouds on theparachute to the back of LEFT side of the RIGHT side of the c»the shirt. picture. picture.

Copyright © 2008 by Kristin DeWit

Directions: Solve each problem and COLOR the object that corresponds with your answer.SHOW YOUR STEPS!!!

13. Solve for x. 14. Solveforx. ()60015. Solve for x.

x33° 12° x~ 56° 70°

<:>(a) If X = 22.5° color the leather (a) If X = 126° color the goggleshelmet arev. (a) If x = 76° color the eyes green. zrav,(b) If x = 78° color the leather (b) If x = 182° color the goggles

(b) If X =118° color the eyes blue.helmet brown. brown.

16. Solveforx.® 17. Solve for x.

®18. Solve for x.

2 7 ®4 x

(a) If X = 6 color the face, neck, (a) If x = 4 outline the eyebrows(a) If X = 28 color the nose pink. and arms apricot. black.(b) If X = 14 color the nose (b) If x = 18 color the face, neck, (b) If x = 8 outline the eyebrows inapricot. and arms pink. red.

19. Solve for x.

GB20. Solve for x.

621. Solve for x.

4 7 x5 x 6

9

(a) If x = 10 outline the nose in (a) If X = 7 outline the mouth in (a) If X = 5f outline the scar in red.orange. black.

(b) If x = 9 outline the nose in (b) If x = 2: outline the mouth in (b) If X = 876 outline the scar in

black. red. black.

22. Solve for x. 8 ~ 23. SOlvef~ 24. Solve for x.

/C)~

3 x10 5_ 3

x <:> "2 - '--.../

(a) If X = 2; color the shoulder(a) If X = 6 color the parachute

straps red.(a) If x = 1 color the shirt green. yellow, blue, and red.

(b) If x = ~ color the shoulder (b) If x = 2 color the parachute(b) If x = 3 color the shirt yellow.straps brown. pink and green.

25. Solveforx.fj 26. Solvefor~ 27.S01<W5 38 '

x _

(a) If X = Ii outline the parachute (a) If X =.Jl5 color the clouds (a) If x = J9i color the rest of theand its lines in black. gray. background blue.

(b) If x =t outline the parachute (b) If X = 2M outline the clouds (b) If x = Jii. leave the rest of theand its lines in purple. in black, but do not color them. background arav.

Artistic Tip: When you are done coloring, it looks nice to outline the major featuresusing a black crayon or marker.

Copyright © 2008 by Kristin DeWit

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