SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Geometry, NAP-L3-CA28

Rochelle drew a pattern which is pictured below.

Rochelle rotates the pattern.

How much does Rochelle to turn the pattern until it looks exactly the same?

`1/8\ text(turn)` `1/4\ text(turn)` `1/2\ text(turn)` `text(1 turn)`
 
 
 
 
Show Answers Only

`1/4\ text(turn)`

Show Worked Solution

`text(Outer pattern looks the same every)\ \ 1/8\ \ text(turn).`

`text(Inner cross pattern looks the same every)\ \ 1/4\ \ text(turn).`

`:.\ text(Whole pattern looks the same every)\ \ 1/4\ \ text(turn).`

Filed Under: Transformations and Symmetry, Transformations and Symmetry Tagged With: Band 8, smc-3156-20-Rotations, smc-3163-20-Rotations

Geometry, NAP-K3-CA03

Patchouli draws a shape on some grid paper.

She puts a pin through the dot.

She then rotates the paper a half turn clockwise.

Which of the following shows Patchouli's shape after the rotation?

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Transformations and Symmetry Tagged With: Band 5, smc-3156-20-Rotations

Geometry, NAP-A3-CA12

A sword is rotated around the circle on its handle.
 

 
What does it look like after a three-quarter turn anti-clockwise?

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Transformations and Symmetry, Transformations and Symmetry Tagged With: Band 6, smc-3156-20-Rotations, smc-3163-20-Rotations

Geometry, NAP-E3-NC10

Which of these designs looks identical after a quarter turn?

 
 
 
 
Show Answers Only

Show Worked Solution

Filed Under: Transformations and Symmetry, Transformations and Symmetry Tagged With: Band 6, smc-3156-20-Rotations, smc-3163-20-Rotations

Geometry, NAP-G3-NC20

 
Shape 1 is rotated to look like Shape 2.

Which of these could describe the rotation?

90° clockwise 90° anticlockwise 45° clockwise 45° anticlockwise
 
 
 
 
Show Answers Only

`90^@\ text(clockwise)`

Show Worked Solution

`90^@\ text(clockwise)`

Filed Under: Transformations and Symmetry, Transformations and Symmetry Tagged With: Band 7, smc-3156-20-Rotations, smc-3163-20-Rotations

Geometry, NAP-I3-CA24

The trapezium `ABCD` is moved to the new position shown by trapezium `RSPQ.`
 

 
Which of these transformations resulted in the new position?

 
Rotate `ABCD\ 180°` clockwise about the origin.
 
Rotate `ABCD\ 270°` clockwise about the origin.
 
Reflect `ABCD` across the `x`-axis, then translate `8` units right.
 
Reflect `ABCD` across the `y`-axis, then translate `6` units down.
Show Answers Only

`text(Rotate)\ ABCD\ 180°\ text(clockwise about the origin.)`

Show Worked Solution

`text(Rotate)\ ABCD\ 180°\ text(clockwise about the origin.)`

Filed Under: Transformations and Symmetry, Transformations and Symmetry Tagged With: Band 8, smc-3156-15-Reflections/Folding, smc-3156-20-Rotations, smc-3163-15-Reflections/Folding, smc-3163-20-Rotations

Geometry, NAP-C3-CA04

Daniel made this design by joining six tiles together.
 

  
Which of this could not be Daniel's design? 

 
 
 
 
Show Answers Only

 

Show Worked Solution

 

Filed Under: Transformations and Symmetry, Transformations and Symmetry Tagged With: Band 5, smc-3156-20-Rotations, smc-3163-20-Rotations

Copyright © 2014–2025 SmarterEd.com.au · Log in