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Geometry, NAP-G3-CA06

In which of these are the two shaded triangles the same size and shape?

 
 
 
 
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Filed Under: Triangles and Other Geometric Properties Tagged With: Band 5, smc-679-25-Quadrilateral properties

Geometry, NAP-D4-CA04

One shape below has two acute angles and two obtuse angles.

Which shape is it?

 
 
 
 
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Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 6, smc-3165-25-Quadrilateral properties, smc-679-25-Quadrilateral properties

Geometry, NAP-B3-CA28

A triangle is divided into 2 parts by a straight line.

The angles are then labelled.

Which statement is true about the sum of angles?

 
`b + c + d = 180^@`
 
`c + d + e = 360^@`
 
`a + b + f + g = 360^@`
 
`d + e + f + g = 180^@`
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`a + b + f + g = 360^@`

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`text(Consider each option:)`

`text(Option 1:)\ \ b + c + d != 180`

  `=> b+c = 180^@`

`text(Option 2:)\ \ c + d + e != 360^@`

  `=> c + d + e = 180^@\ \ text{(angle sum of triangle)}`

`text(Option 3:)\ \ a + b + f + g = 360^@`

  `=>\ text(Correct since the angle sum of a quadrilateral = 360°)`

`text(Option 4:)\ \ d + e + f + g != 180`

  `=> e + f  = 180^@`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3165-15-Triangle properties, smc-3165-25-Quadrilateral properties, smc-679-15-Triangle properties, smc-679-25-Quadrilateral properties

Geometry, NAP-D3-CA22

Bojangles draws an irregular quadrilateral that is shown below.
 

 
Which list shows the three angles  `a, b, c`  in decreasing order of size?

`a, c, b` `c, b, a` `a, b, c` `b, c, a`
 
 
 
 
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`b, c ,a`

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`b, c, a`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 8, smc-3165-25-Quadrilateral properties, smc-679-25-Quadrilateral properties

Algebra, NAP-B3-NC13

Jamie is drawing a square on this grid.

He has drawn two corner points as shown.
 

 

  
Jamie draws the third corner at (5, 6).

Where will the other corner of the square be?

`(1, 2)` `(2, 1)` `(1, 6)` `(2, 2)`
 
 
 
 
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`(1, 2)`

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`(1, 2)`

Filed Under: Patterns and Coordinate Geometry (8), Patterns and The Number Plane, Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 7, smc-3151-40-Cartesian plane, smc-3165-25-Quadrilateral properties, smc-664-40-Cartesian plane, smc-679-25-Quadrilateral properties

Geometry, NAP-E3-NC26

The diagonals of which shape below cross at right-angles?

 
 
 
 
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`text(A rhombus has diagonals that cross at right-angles.)`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3165-25-Quadrilateral properties, smc-679-25-Quadrilateral properties

Geometry, NAP-H3-CA04

A regular hexagon is folded in half along the dotted line.
 

 

 
The folded shape can also be called a

`text(pentagon)` `text(hexagon)` `text(quadrilateral)` `text(triangle)`
 
 
 
 
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`text(quadrilateral)`

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`text{The folded shape has four sides.}`

`text(quadrilateral)`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 6, smc-3165-25-Quadrilateral properties, smc-679-25-Quadrilateral properties

Geometry, NAP-H4-NC18

Murphy draws and labels 3 points, on a Cartesian plane.
 

 

 
He wants to add another point so that all 4 points can be joined to make a parallelogram.

Which of these is a possible coordinate for the 4th point?

`(−1,2)` `(1,5)` `(2,−1)` `(5,1)`
 
  
  
  
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`( – 1, 2)`

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`text(One Strategy:)`

`text{Consider the point (4, 4). The point below is 2 units down and)`

`text{2 units left. Apply this to the point (1, 4).}`

`:. ( – 1, 2)\ \ text(is the vertex of a parallelogram.)`

`text{Note that (5, 2) will also make a parallelogram but this point is}`

`text(is not given as an option.)`

Filed Under: Triangles and Other Geometric Properties, Triangles and Other Geometric Properties Tagged With: Band 9, smc-3165-25-Quadrilateral properties, smc-679-25-Quadrilateral properties

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