Make a polygon with everyone in your group.
Example:
Name 1 quadrilateral that does not have any lines of symmetry.
A parallelogram.
Make an acute angle with your body.
This is a right angle; make sure your acute angle is smaller.
What is an equilateral triangle?
A triangle where all the sides are equal.
How many sides do quadrilaterals all have?
4!
The root word quad comes from Latin and means "four".
How many lines of symmetry do you see in the German flag. Is it diagonal, vertical or horizontal?
One line of symmetry: Vertical
How many lines of symmetry does a circle have?
A circle has infinite lines of symmetry.
A) What polygon is this?
B) How many right angles, acute angles and obtuse angles are there?
A) It has 5 sides so it is a pentagon, but not all sides and angles are equal, so it is an irregular pentagon.
B) 3 right angles, 2 obtuse angles
Based on the side lengths, what kind of triangle is this?
All sides are different in length, therefore this is a scalene triangle.
What quadrilaterals do you see?
Rectangles & Squares!
Name 3 polygons with more than 4 sides.
Pentagon, Hexagon, Heptagon, Octagon
A) Can irregular polygons have lines of symmetry?
B) Name 2 letters from the alphabet that have line(s) of symmetry
A) Yes!
B) T, H, M, W, V
A) What is the measure of the angle?
B) What kind of angle is it?
A) 127 degrees
B) Obtuse angle
What kind of triangle is this? (classify based on side lengths and angles)
All sides are different so this is a scalene triangle, there is one obtuse angle so this is an obtuse scalene triangle.
Name 6 quadrilaterals.
Square, rectangle, trapezoid, parallelogram, rhombus, kite
Which shape is not a polygon?
A circle is NOT a polygon because it does not have any straight sides.
Can you name all the flags that do not have any lines of symmetry?
Australia and USA
A) What is the measure of this angle?
B) What kind of angle is it? (right, obtuse, acute)
A) 75 degrees
B) Acute angle
A) Name the three different triangles.
B) What are the side and angle attributes of each triangle?
A) Equilateral, Isosceles, Scalene
B)
Which quadrilaterals are irregular and which are regular?
(hint: you must know the definition of a regular polygon)
The only regular (all sides equal and all angles equal) quadrilateral is a square and a rhombus. So all other quadrilaterals are irregular.
1) Is every quadrilateral a parallelogram?
2) Name an example where a quadrilateral is not a parallelogram.
1) No
2) A trapezoid (4 sides) is a quadrilateral that is NOT a parallelogram
How many lines of symmetry does an equilateral triangle, isosceles triangle and scalene triangle have?
3, 1, 0
How many degrees is the missing angle?
In a triangle, the three interior angles always add to 180°.
∠A + ∠B + ∠C = 180°
32+ 28 + ∠C = 180°
60 + ∠C = 180°
<C= 120°
A) What kind of triangle is this?
B) How many degrees is B (x) ?
C) How many degrees is A?
A) Two sides are equal, so this is an isosceles triangle.
B) An isosceles triangle has two equal sides and two equal angles, so B = 40°
C) We know that A + B+C= 180°
A + 40°+ 40° =180°
A + 80° = 180°
A= 100°
The interior angles of a quadrilateral always add up to ___________?
What is the missing angle of this quadrilateral?
A) 360 degrees
B) 114°
The interior angles of a quadrilateral add to 360°
The sum of the given angles: 113° + 51° + 82° = 246°
Therefore the fourth angle = 360° − 246° = 114°