Polygons
This shape has exactly 3 angles and 3 straight sides. What is it?
Triangle
How many sides does a quadrilateral have?
4
What is the definition of a parallelogram?
Must have 2 pairs of parallel sides.
What rule must a rhombus follow?
Rhombus must have 4 equal sides.
Name a polygon that has 6 sides.
Hexagon
Which quadrilateral has all right angles and opposite sides equal?
Is every rectangle a parallelogram?
Yes — rectangles have two pairs of parallel opposite sides.
What rule must a rectangle follow?
Rectangle must have 4 right angles.
What three rules define a polygon?
3+ angles, straight sides, closed shape
Give one example of a quadrilateral that has only one pair of parallel sides.
Trapezoid
If a shape has both pairs of opposite sides parallel, what else must be true about opposite sides in length?
Opposite sides are equal in length.
Which polygon is a member of both the Rhombus Club and the Rectangle Club?
Square
True or False — A shape with curved sides can be a polygon. Explain why.
False. Polygons have straight sides.
Explain why a square is also a rectangle and a rhombus.
Square has 4 right angles (rectangle rule) and 4 equal sides (rhombus rule), so it is both.
If one angle of a parallelogram is a right angle, what can you say about all four angles? (short explanation)
All four angles are right angles (each 90°)
Draw or describe a shape that is a rhombus but not a square. Explain why it is not a square.
Example: a rhombus with side lengths equal but angles not 90° (a slanted diamond). It's not a square because its angles are not all right angles.
Name two polygons and two attributes of each.
Triangle, pentagon, quadrilateral (square), hexagon, octagon (any two with description)
Explain why a rectangle is not a square.
It does not have 4 equal sides.
A parallelogram has side lengths 5, 8, 5. What is the missing length?
8.
A rhombus has a side length of 6 units. What are the remaining side lengths?
6 units on each.