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The Lines and Planes

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  1. The Lines and Planes INCLINED PLANE INCLINED LINE VERTICAL LINE VERTICAL PLANE HORIZONTAL LINE HORIZONTAL PLANE

  2. E F D C T A B U M S P Q N R WORKSHEET 1 Instructions: Answer the following questions. 2. Name a) the horizontal lines b) the verticle lines c) the inclined lines d) the horizontal planes e) the verticle planes f) the inclined planes in the solid object PQRSTU. 1.Solid object ABCDEF above consists of three types of lines and planes. Name all the lines and planes below. Horizontal Lines: i. EF ii. _______ iii. _______ iv. _______ v. ________ Vertical Lines : i. _______ ii. _______ Inclined Lines : i. ________ ii. ________ Horizontal Planes : i. ABCD Verticle Planes : i. ______ ii. ______ iii. ______ Inclined Plane: i.______

  3. NORMAL AND ORTHOGONAL PROJECTION NORMAL ORTHOGONAL PROJECTION PLANE

  4. NAME THE ORTHOGONAL PROJ. AC ON THE PLANE ABED F AC ABED down (find the point down C) C C B IS NORMAL D E A B ORTHOGONAL A B

  5. NAME THE ORTHOGONAL PROJ.AF ON THE PLANE ABED F AF ABED down (find the point down F) C F E IS NORMAL E D A E ORTHOGONAL A B

  6. NAME THE ORTHOGONAL PROJ.CD ON THE PLANE BCFE F CD BCFE back (find the point at the back of D) C D D E IS NORMAL E C E ORTHOGONAL A B

  7. C A A B G H CB IS NORMAL AB ORTHOGONAL NAME THE ORTHOGONAL PROJ.CA ON THE PLANE ABGH E F H G D C A B

  8. F B A B G H FG IS NORMAL BG ORTHOGONAL NAME THE ORTHOGONAL PROJ. FB ON THE PLANE ABGH E F H G D C A B

  9. CH A B G H CB IS NORMAL HB ORTHOGONAL NAME THE ORTHOGONAL PROJ.CH ON THE PLANE ABGH E F H G D C A B

  10. ANGLE BETWEEN A LINE AND A PLANE

  11. DETERMINE THE ANGLE LINE BD AND PLANE DCGH E F B DD C G H DOWN H B D C G A STEP 2 STEP 1 STEP 3 STEP 1 : FIND THE SAME ALPHABET STEP 3 : FIND THE POINT DOWN B ? B C D ANSWER: < BDC

  12. E F G A B C D DETERMINE THE ANGLE LINE AG AND PLANE ADHE A G A D H E BACK H G A H STEP 2 STEP 1 STEP 3 STEP 1 : FIND THE SAME ALPHABET STEP 3 : FIND THE POINT AT THE BACK OF G ? ANSWER: < GAH

  13. QUESTION GAC HBE CHG EGH HBG

  14. ANGLE BETWEEN TWO PLANES

  15. SOLUTION 1 DETERMINE THE ANGLE BETWEEN PLANE ADGF AND PLANE BCGF ADGF BCGF INFRONT A GF B (point infront A) STEP 2 STEP 1 STEP 3 STEP 4: F STEP 1 : FIND THE SAME ALPHABET STEP 2 : CHOOSE ANY ALPHABET LEFT. STEP 3 : FIND THE POINT INFRONT A? B OR C? ANSWER: B STEP 4 : G OR F.. . NEAREST WITH POINT B? ANSWER: F H G D C E F A B ANSWER: AFB

  16. SOLUTION 2 DETERMINE THE ANGLE BETWEEN PLANE ADGF AND PLANE BCGF H G ADGF BCGF INFRONT D GF C STEP 2 STEP 1 STEP 3 STEP 4: G STEP 1 : FIND THE SAME ALPHABET STEP 2 : CHOOSE ANY ALPHABET LEFT. STEP 3 : FIND THE POINT INFRONT D? B OR C? ANSWER: C STEP 4 : G OR F NEAREST WITH POINT C? ANSWER: G D C E F A B ANSWER: DGC

  17. DETERMINE THE ANGLE BETWEEN PLANE ADGF AND PLANE ABCD ADGF ABCD DOWN G AD C STEP 2 STEP 1 STEP 3 STEP 4: D STEP 1 : FIND THE SAME ALPHABET STEP 2 : CHOOSE ANY ALPHABET LEFT. STEP 3 : FIND THE POINTDOWN G? B OR C? ANSWER: C STEP 4 : A OR D NEAREST WITH POINT C? ANSWER: D H G D C E F A B ANSWER: GDC

  18. DETERMINE THE ANGLE BETWEEN PLANE ADGF AND PLANE ABCD ADGF ABCD DOWN F AD B STEP 2 STEP 1 STEP 3 STEP 4: A STEP 1 : FIND THE SAME ALPHABET STEP 2 : CHOOSE ANY ALPHABET LEFT. STEP 3 : FIND THE POINTDOWN F? B OR C? ANSWER: B STEP 4 : A OR D NEAREST WITH POINT B? ANSWER: A H G D C E F A B ANSWER: FAB

  19. NAME THE ORTHOGONAL PROJ.MG ON THE PLANE ELKF F G MG ELMKF BACK K J M E F M H G L I ANSWER: < GMF

  20. PREPARED BY: SITI ZARINA BT SYED NORDIN