Geometry

Question 1

What are the geometry sub strands? 3

Answer 1

Shape - 2D and 3D
Location and transformation
Geometric reasoning

Question 2

What are the 5 steps in the van heile model of developing geometric thinking?

Answer 2

1) visualising - judge figures by appearance
2) analysis -
3) informal diductions
4) formal deductions
5) rigour

Question 3

What is VH theory 1?

Answer 3

Visualisation - students recognise basic shapes by appearance

Question 4

What is VH level 2?

Answer 4

• students recognise shapes by their properties

- rotated square is still a square because of same properties

Question 5

What is VH level 3?

Answer 5

• students recognise relationships between families of shapes

Question 6

Plane figures that are not polygons include

Answer 6

Circles and ovals
Complex figures
Open curves
Shapes with rounded corners

Question 7

Polygons are regular if

Answer 7

All sides lengths and angles are equal

Question 8

What are examples of regular polygons

Answer 8

Equilateral triangle
Square
Regular pentagon
Regular hexagon

Question 9

Polygons are irregular if?

Answer 9

Not all side lengths or angles are equal

Question 10

What are some examples of irregular polygons?

Answer 10

Isosceles triangle, rectangle, irregular pentagon, irregular hexagon

Question 11

Triangles are classified by either ?

Answer 11

Their side or angle properties or both

Question 12

An equilateral triangle has

Answer 12

3 equal sides

Question 13

An isosceles triangle has?

Answer 13

2 equal sides

Question 14

A scalene triangle has

Answer 14

No equal sides

Question 15

An acute angle has

Answer 15

All angles acute

Question 16

A right sided triangle has a

Answer 16

90 degree angle

Question 17

An obtuse triangle has

Answer 17

An angle less than 90 degrees

Question 18

What is a net?

Answer 18

A 2D pattern that can be cut and folded to make a pattern of a 3D shape

Question 19

What is a polyhedron?

Answer 19

3D solid shape where it’s faces are polygons

Question 20

With a polyhedron, edges are formed when?

Answer 20

2 faces meet

Question 21

Polyhedrons include which shapes?

Answer 21

Prisms, pyramids and Platonic solids

Question 22

3D shapes that are not polyhedrons include

Answer 22

Spheres, cylinders, cones

Question 23

What is a prism?

Answer 23

A 3D object created by 2 polygon faces joined by rectangles

Question 24

Prisms are named after

Answer 24

The shape of the polygon on which it is based

Question 25

The cross section is known as?

Answer 25

The shape of the polygon on which the prism is based

Question 26

A pyramid has?

Answer 26

A polygonal base and triangular faces which taper to a point called an apex

Question 27

What are the 5 Platonic solids

Answer 27

1) tetrahedron
2) octahedron
3) dodecahedron
4) icosahedron
5) cube

Question 28

What is a Platonic solid?

Answer 28

Convex regular polyhedra

Question 29

What are 3 types of transformations?

Answer 29

Reflection - flip
Translation - slide
Rotation - turn

Question 30

What does dilation do?

Answer 30

Enlarges or reduces

Question 31

From the centre of enlargement distances are multiplied by the same?

Answer 31

Scale factor

Question 32

Using a scale factor of 2 does what to the distance from the centre of englargment?

Answer 32

Double

Question 33

Using a scale factor of less than 1 does what to the distance from the centre of englargement?

Answer 33

Reduces

Question 34

Reflection is achieved by flipped the object using a ?

Answer 34

Mirror line

Question 35

The mirror line is a?

Answer 35

Line of symmetry

Question 36

The mirror image in the line of symmetry is?

Answer 36

Reversed

Question 37

If a shape can fit back into its own image after a rotation of less than one full turn it has?

Answer 37

Rotational symmetry

Question 38

The number of times a figure fits itself in one completely rotation is called?

Answer 38

The order of rotational symmetry

Question 39

Translations are achieved by?

Answer 39

Sliding the object a given distance in a given direction