GeoGebra

3D Geometry

Autor:Project_Logifaces
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This chapter covers the following topics: Surface area and Volume calculations, Trigonometry, Transformations, Coordinate geometry and Nets. Most tasks are designed to improve spatial vision, whether through craft, manipulation of digital models or working through calculations. Additional practical information relating to this chapter: 
  • Axial symmetry means that the shape is symmetrical to the reflection about some line in 3D. 
  • In the Transformations topic all rotations are anticlockwise rotations, unless otherwise stated. 
  • In some exercises there is a need for other tools beside the Logifaces Sets, such as plasticine or straws. 
  • Some exercises need access to GeoGebra. In all the other exercises we also recommend the use of GeoGebra, as all the illustrations can be opened in it.

Exercises about 3D Geometry

501 - Build it from Plasticine 502 - Mirror Shape 503 - Matching Faces 504 - Quiz 505 - Net Drawing 506 - Build it from Straws 507 - Build it from Paper 508 - Net with GeoGebra 509 - Complement the Net 510 - Nets of Prisms 511 - Logifaces Nets 512 - Mutual Position of Lines and Planes 513 - Surface Area Calculation 514 - Surface Area Game 515 - Simple Volumes 516 - Truncated Volumes 517 - Heights and Volumes 518 - Proof of the Volume Formula 519 - Nuclear Hazard 520 - Arrange by Volume 521 - Volume Game 522 - Planes of Symmetry 523 - Symmetry of two Blocks 524 - Symmetry of Given Blocks 525 - Given Symmetries

Exercises about Coordinate Geometry

526 - Calculate the Coordinates 527 - Coordinates in GeoGebra 528 - Read the Results in GeoGebra 529 - Coordinates of a Rotated Block 530 - Planes of Symmetry in GeoGebra 531 - 3D Congruence in GeoGebra 532 - Rotating Blocks in GeoGebra 533 - Relocating Blocks in GeoGebra 534 - Upside down Blocks in GeoGebra 535 - Calculating Angles 536 - Different Slopes 537 - Ratio of Heights 538 - Ratio of Areas 539 - Angle of Planes

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