REGULAR POLYGONS
What is a regular polygon?
A polygon with all sides and all angles equal.
What is an irregular polygon?
A polygon with sides or angles that are not all equal.
What does “percentage increase” mean?
A rise in value shown as a percent.
What does “percentage decrease” mean?
A drop in value shown as a percent.
What do you call a triangle with all three sides equal?
Equilateral triangle
Give one example of a regular polygon found in real life.
Stop sign (regular octagon)
A quadrilateral has two long sides and two short sides. Is it regular or irregular? Why?
Irregular, because its sides are not all equal.
If a price goes up, what happens to the percentage?
It increases.
If the price of an item was lowered, what happened to the percentage?
It decreased.
What kind of triangle has two equal sides and one different side?
Isosceles triangle
What regular polygon has 6 equal sides and 6 equal angles?
Hexagon
What makes an irregular polygon different from a regular polygon?
Irregular polygons have unequal sides and angles, while regular polygons have equal ones.
If a shirt’s price was increased, what word/s describes what happened to its price?
Marked up
What word describes a product whose price was reduced?
Discounted
What type of triangle has one angle that measures exactly 90 degrees?
Right triangle
How can you tell if a shape is a regular polygon just by looking at it?
By checking if all sides and angles are equal.
Can an irregular polygon be used in a repeating pattern? Explain your answer.
Yes, but it may not fit as evenly or symmetrically as a regular polygon.
Why is knowing the percentage increase helpful when shopping?
It helps compare how much more you are paying.
Why do stores use percentage decrease during sales?
To attract buyers by lowering prices.
How is a scalene triangle different from an equilateral triangle?
scalene has no equal sides, while an equilateral has all equal sides.
Why do you think regular polygons are used in tiling patterns and design?
Because they fit together evenly and create balanced, symmetrical patterns.
In your own words, explain why it is harder to measure the area of an irregular polygon than a regular one.
Because the sides and angles are not equal, and it cannot be divided easily into equal shapes.
How would you explain percentage increase to a classmate who doesn’t understand math well?
It shows how much something grew, like prices or scores, using percent to compare the change.
Is a 60% decrease better than a 10% decrease when you're the customer? Why?
Yes, because you save more money.
Why can a triangle never have more than one obtuse angle?
Because the total of all angles in a triangle is only 180 degrees.