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Quadrilateral
s
All sides and the angle in each vertex equal
square
regular
4 lines of symmetry
Measurement and Geometry 32
opposite sides equal, and all angles in its vertices
equal
rectangle
irregular
2 lines of symmetry
Measurement and Geometry 32
4 cm
Quadrilateral
s
all sides equal and the angles in its opposite
vertices equal
rhombus
irregular
2 lines of symmetry
Measurement and Geometry 32
2 pairs of adjacent sides are equal and the angles in the 2
vertices
where the adjacent sides are unequal, and the angles in
the other 2 vertices are not equal
kite
irregular
1 line of symmetry
Measurement and Geometry 32
3 pairs of adjacent sides are equal and the angles in 2 pairs
of adjacent vertices are equal
trapezium
irregular
1 line of symmetry
Measurement and Geometry 32
Investigation:
1. Have a quadrilateral, for example, a square, a rectangle, a
rhombus, a kite or a trapezium.
2. Measure the quadrilateral’s sides to determine whether they are
the same or different lengths.
3. Compare the quadrilateral’s vertices by testing the angles using a
square as a right angle, checking to see if the other vertices are
the same or different sizes.
4. Draw and name the quadrilateral, and label it regular or irregular.
5. Draw on any lines of symmetry.
Reflection: How can we describe quadrilaterals?
Problem Solving
I drew a regular quadrilateral.
What might it look like?
Does this quadrilateral have a
special name?
Problem Solving
I drew an irregular quadrilateral with 3 equal
sides and 1 unequal side.
What might it look like?
Does this quadrilateral have a special name?
Measurement and Geometry 32
Measurement and Geometry 32
Investigation:
1. Have 4 craft sticks of the same or different lengths.
2. Make quadrilaterals, including a square, a rectangle, a rhombus, a
kite and a trapezium.
3. Record and label your quadrilateral as regular or irregular.
4. Does your quadrilateral have a special name?
5. Can you make a quadrilateral with all combinations of craft sticks,
for example, 1 long straw and 3 very short craft sticks? Why?
Reflection: How can we describe quadrilaterals?
Measurement and Geometry 32
Investigation:
1. Have a digital photo of your face.
2. Make 3 copies (copy and paste ‘in front of text’), totalling 4.
3. Crop each face in half – 2 with right part remaining, and 2 with left
part remaining (double click on picture and select crop.)
4. Reflect (flip) one left part and 1 right part (double click on the part,
select rotate, select flip horizontal).
5. Join the 2 left parts adding a line down the centre.
6. Join the 2 right parts, adding a line down the centre.
7. For example,
8. Discuss whether your face has symmetry and whether the line is a
line of symmetry.
9. You could also investigate symmetry in the faces of famous people.
Reflection: What is symmetry?
Measurement and Geometry 32
Investigation:
1. Write some lower case and upper case letters.
2. Which letters have symmetry?
Reflection: What is a line of symmetry?
Measurement and Geometry 32
Investigation:
1. Create symmetrical blob art works by
• folding a page in the centre,
• unfolding the page,
• squeezing small amounts of differently coloured paint on to one
half of the page,
• then refolding the page.
2. When unfolded a symmetrical picture will result.
Reflection: What is a line of symmetry?
Measurement and Geometry 32
Investigation:
1. Go on a symmetry hunt, looking for symmetry in
objects and shapes in the room or outside.
Reflection: What is symmetry?
Measurement and Geometry 32
Investigation:
1. Play ‘mirrors’ with a friend.
2. Stand facing each other in identical positions.
3. Take turns to make a move which the other child
mirrors.
4. For example, one child raises their right arm and the
other raises their left arm in unison.
Reflection: What is symmetry?
Measurement and Geometry 32
Investigation:
1. Create art works using only quadrilaterals.
2. You could base your art works on Cubism, examples of
which are freely available on the internet.
Reflection: What is a quadrilateral?
Measurement and Geometry 32
Investigation:
1. Have a real or virtual geoboard (freely available on the
internet).
2. Make and describe different kinds of quadrilaterals,
including regular and irregular, and special
quadrilaterals including a square, a rectangle, a
rhombus, a kite and a trapezium.
3. Identify lines of symmetry.
Reflection: What is a quadrilateral? What is symmetry?
Measurement and Geometry 32
Investigation:
1. Have a real or virtual geoboard (freely available on the
internet).
2. Make and describe different kinds of triangles,
including regular and irregular.
3. Identify lines of symmetry.
Reflection: What is a regular triangle? What is an irregular
triangle? What is symmetry?
Measurement and Geometry 32