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7.4 Special Quadrilaterals
Good morning!
Schedule:
7.4 Learning goals
Special Quadrilaterals
Work on your homework
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Slide 1:
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Wiskunde
Middelbare school
vwo
Leerjaar 1
This lesson contains
16 slides
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interactive quizzes
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text slides
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Lesson duration is:
45 min
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Items in this lesson
Good morning!
Schedule:
7.4 Learning goals
Special Quadrilaterals
Work on your homework
Slide 1 - Slide
Learning goals
At the end of these two lessons I can:
Recognize when a quadrilateral is a parallelogram, rhombus, trapezium and/or kite.
Name the properties of a parallelogram, rhombus, trapezium and/or kite.
Use the correct symbols to note when two sides are perpendicular, parallel and/or equal
Slide 2 - Slide
What is a quadrilateral?
Slide 3 - Open question
How many axes of symmetry does this star have?
A
4
B
5
C
6
D
0
Slide 4 - Quiz
Theory A: Parallelogram
Properties of a parallelogram:
A parallelogram has rotational symmetry of order 2 or through 180 degrees.
Because of that
the opposite angles are equal (ask yourself why)
The diagonals divide each other exactly in half
Th
Slide 5 - Slide
Theory A: Parallelogram
More properties of a parallelogram:
Opposite sides have the same length
The diagonals divide each other exactly in half
The diagonals
are not perpendicular
Slide 6 - Slide
Slide 7 - Slide
Theory B: Rhombus
Properties of a rhombus:
The diagonals are the axes of symmetry
The diagonals are perpendicular
All properties of a parallelogram also hold for a rhombus, therefore a rhombus is a special parallelogram
Slide 8 - Slide
Slide 9 - Slide
Theory C: Kite
Properties of a kite:
One OR more diagonal axis of symmetry. The diagonals are perpendicular
the adjacent (aangrenzende) sides are equal
angle A = angle C
Slide 10 - Slide
Slide 11 - Slide
Parallelogram
Rhombus
Kite
Slide 12 - Drag question
Checklist
Are both pairs of sides of the quadrilateral parallel?
Are all the sides of the quadrilateral equal?
Is at least one pair of sides of the quadrilateral parallel?
Is at least one diagonal of the quadrilateral an axis of symmetry?
Parallelogram
Rhombus
Kite
Trapezium
Slide 13 - Slide
Take out your diaries
Homework for Thursday 3-6-2021:
Vwo and Havo/Vwo p. 62 #37-51
Slide 14 - Slide
What would you like to do?
I want to work on the exercises #37-51 (p. 62) on my own.
or
I want to work out an exercise with ma'am on the bord
Slide 15 - Slide
Learning goals
At the end of these two lessons I can:
Recognize when a quadrilateral is a parallelogram, rhombus, trapezium and/or kite.
Name the properties of a parallelogram, rhombus, trapezium and/or kite.
Use the correct symbols to note when two sides are perpendicular, parallel and/or equal
Slide 16 - Slide
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