QUADRILATERALS - LT Scotland
Transcript of QUADRILATERALS - LT Scotland
ROTHESAY ACADEMY
MATHEMATICS DEPARTMENT
FIRST LEVEL THIRD LEVEL
QUADRILATERALSPATHWAY 1 BLOCK 4
SQUARE, RECTANGLE AND PARALLELOGRAM
Learning Intention
Identify the key properties of a Parallelogram
Success Criteria
Understand angular properties of a Parallelogram
Show all the correct working
Four equal sides
Four equal angles (all 90o)
Angles add up to 360o
Diagonals bisect at 90o
π΄ = π Γ π
SQUARE
π
π
Two pairs of equal sides
Four equal angles (all 90o)
Angles add up to 360o
Diagonals bisect but not at 90o
π΄ = π Γ π
RECTANGLE
π
π
Two pair of equal sides
Two pairs of equal angles
Angles add up to 360o
Diagonals bisect but not at 90o
π΄ = π Γ β
PARALLELOGRAM
β
π
PARALLELOGRAM
Calculate the size of the missing angles
Angles in a triangle
add to 180
180 β (72 + 80) = 28o
28o
Z Angle = 28o
28o
Z Angle = 80o
80o
Angles in a triangle
add to 180
180 β (28 + 80) = 72o
72o
NOW YOUR TURN
TeeJay Level E
Page 210 Exercise 2
Q10 β Q13
Page 221 Exercise 6
Q9 β Q11
RHOMBUS
Learning Intention
Identify the key properties of a Rhombus
Success Criteria
Understand angular properties of a Rhombus
Show all the correct working
Four equal sides
Two pairs of equal angles
Angles add up to 360o
Diagonals bisect at 90o
π΄ = π1 Γ π2 Γ· 2
RHOMBUS
π1
π2
RHOMBUS
Calculate the size of the missing angles
Symmetry = 26o
26o 26o
26o
Angles in a triangle
add to 180
180 β (26 + 90) = 64o
64o
Symmetry = 64o
64o
64o 64o
NOW YOUR TURN
TeeJay Level E
Page 213 Exercise 4
Q4, Q9 β Q15
KITE
Learning Intention
Identify the key properties of a Kite
Success Criteria
Understand angular properties of a Kite
Show all the correct working
Two pairs of equal sides
One pair of equal angles
Angles add up to 360o
Diagonals meet at 90o
π΄ = π1 Γ π2 Γ· 2
KITE
π1
π2
Two pairs of equal sides
One pair of equal angles
Angles add up to 360o
Diagonals donβt meet
π΄ = π1 Γ π2 Γ· 2
V-KITE
π1
π2
KITE
Calculate the size of the missing angles
Symmetry
65o
Angles in a triangle
add to 180
180 β (65 + 90) = 25o
25o
Angles in a triangle
add to 180
180 β (20 + 90) = 70o70o
25o
70o
20o
NOW YOUR TURN
TeeJay Level E
Page 218 Exercise 5
Q5, Q7, Q9 β Q11
TRAPEZIUM
Learning Intention
Identify the key properties of a Trapezium
Success Criteria
Understand angular properties of a Trapezium
Show all the correct working
One pair of parallel sides
Not usually any equal angles
Angles add up to 360o
Diagonals donβt bisect
π΄ = β(π + π) Γ· 2
TRAPEZIUM
β
π
π
TRAPEZIUM
Calculate the size of the missing angles
Angles add to 180
180 β 71 = 109o
109o
Angles add to 180
180 β 125 = 55o
55o
NOW YOUR TURN
TeeJay Level E
Page 224 Exercise 7
Q2 β Q7
Square Four equal sidesFour equal
angles
Angles add up
to 360o
Diagonals
bisect at 90o π΄ = π Γ π
RectangleTwo pairs of
equal sides
Four equal
angles
Angles add up
to 360o
Diagonals
bisect but not
at 90o
π΄ = π Γ π
ParallelogramTwo pairs of
equal sides
Two pairs of
equal angles
Angles add up
to 360o
Diagonals
bisect but not
at 90o
π΄ = π Γ β
Rhombus Four equal sidesTwo pairs of
equal angles
Angles add up
to 360o
Diagonals
bisect at 90o π΄ = π1 Γ π2 Γ· 2
KiteTwo pairs of
equal sides
One pair of
equal angles
Angles add up
to 360o
Diagonals
meet at 90o π΄ = π1 Γ π2 Γ· 2
V-KiteTwo pairs of
equal sides
One pair of
equal angles
Angles add up
to 360o
Diagonals
donβt meetπ΄ = π1 Γ π2 Γ· 2
TrapeziumOne pair of
parallel sides
Not usually any
equal angles
Angles add up
to 360o
Diagonals
donβt bisectπ΄ = β(π + π) Γ· 2
QUADRILATERALS SUMMARY