Card 1 of 20
EasyStudy card 1
Prompt
What defines a regular polygon?
Answer
A convex polygon with all sides and all angles congruent.
MathChapter 18: Polygons
Flashcards
Regular Polygons Flashcards
Twenty cards on regular-polygon vocabulary, angles, radii, apothems, perimeter, and area.
Current card1 / 20
Session progress0 of 20 studied
Card 1 of 20. Answer hidden.
Card 2 of 20
EasyStudy card 2
Prompt
What is the interior-angle sum of an n-gon?
Answer
\((n-2)180^\circ\).
Card 3 of 20
EasyStudy card 3
Prompt
What is each interior angle of a regular n-gon?
Answer
\(\frac{(n-2)180^\circ}{n}\).
Card 4 of 20
EasyStudy card 4
Prompt
What is the exterior-angle sum of any polygon?
Answer
\(360^\circ\).
Card 5 of 20
EasyStudy card 5
Prompt
What is each exterior angle of a regular n-gon?
Answer
\(360^\circ/n\).
Card 6 of 20
EasyStudy card 6
Prompt
What is each central angle of a regular n-gon?
Answer
\(360^\circ/n\).
Card 7 of 20
EasyStudy card 7
Prompt
What is an apothem?
Answer
The perpendicular distance from the center to a side.
Card 8 of 20
MediumStudy card 8
Prompt
Where does a regular polygon radius end?
Answer
At a vertex.
Card 9 of 20
MediumStudy card 9
Prompt
What is the regular-polygon area formula?
Answer
\(A=\tfrac12ap\).
Card 10 of 20
MediumStudy card 10
Prompt
How is a regular polygon perimeter found from side s?
Answer
\(p=ns\).
Card 11 of 20
MediumStudy card 11
Prompt
A regular octagon has what central angle?
Answer
45°.
Card 12 of 20
MediumStudy card 12
Prompt
A regular pentagon has what interior angle?
Answer
108°.
Card 13 of 20
MediumStudy card 13
Prompt
What is the relation between one regular interior and exterior angle?
Answer
They are supplementary.
Card 14 of 20
MediumStudy card 14
Prompt
How does an apothem divide its selected side?
Answer
It meets it perpendicularly at the midpoint.
Card 15 of 20
MediumStudy card 15
Prompt
Why does \(A=\tfrac12ap\) work?
Answer
It sums n congruent central triangles of height a.
Card 16 of 20
MediumStudy card 16
Prompt
What half-angle appears in the central right triangle?
Answer
\(180^\circ/n\).
Card 17 of 20
HardStudy card 17
Prompt
A regular polygon has exterior angle 24°. Find n.
Answer
15.
Card 18 of 20
HardStudy card 18
Prompt
How can radius R give apothem a?
Answer
\(a=R\cos(180^\circ/n)\).
Card 19 of 20
HardStudy card 19
Prompt
What common area error uses s for p?
Answer
Using one side instead of the full perimeter in \(A=\tfrac12ap\).
Card 20 of 20
HardStudy card 20
Prompt
For a regular hexagon, how are side and radius related?
Answer
They are equal because each central triangle is equilateral.
Deck complete
You rated every card. Revisit difficult cards or shuffle for another pass.
Keyboard: Space reveals, left/right arrows navigate, 1–4 rate, and S shuffles.