Card 1 of 20
EasyStudy card 1
Prompt
What defines a rectangle?
Answer
A quadrilateral with four right angles.
MathChapter 18: Polygons
Flashcards
Rectangles, Squares, and Trapezoids Flashcards
Twenty cards on rectangle and square diagonals, trapezoid anatomy, midsegments, special cases, and areas.
Current card1 / 20
Session progress0 of 20 studied
Card 1 of 20. Answer hidden.
Card 2 of 20
EasyStudy card 2
Prompt
What is true of rectangle diagonals?
Answer
They are congruent and bisect each other.
Card 3 of 20
EasyStudy card 3
Prompt
How do rectangle diagonals divide its area?
Answer
Into four triangles of equal area.
Card 4 of 20
EasyStudy card 4
Prompt
What defines a square here?
Answer
Four right angles and four congruent sides.
Card 5 of 20
EasyStudy card 5
Prompt
What is the square area formula?
Answer
\(A=s^2\).
Card 6 of 20
EasyStudy card 6
Prompt
How does this chapter define a trapezoid?
Answer
A quadrilateral with exactly one pair of parallel sides.
Card 7 of 20
EasyStudy card 7
Prompt
What is a trapezoid midsegment?
Answer
The segment joining leg midpoints; it is parallel to both bases.
Card 8 of 20
MediumStudy card 8
Prompt
What is the trapezoid midsegment formula?
Answer
\(m=(b_1+b_2)/2\).
Card 9 of 20
MediumStudy card 9
Prompt
What is the trapezoid area formula?
Answer
\(A=\tfrac12h(b_1+b_2)\).
Card 10 of 20
MediumStudy card 10
Prompt
What is the square diagonal relationship?
Answer
\(d=s\sqrt2\).
Card 11 of 20
MediumStudy card 11
Prompt
A square diagonal is \(10\sqrt2\). Find its area.
Answer
100 square units.
Card 12 of 20
MediumStudy card 12
Prompt
What defines an isosceles trapezoid?
Answer
A trapezoid with congruent legs.
Card 13 of 20
MediumStudy card 13
Prompt
What is true of isosceles trapezoid diagonals?
Answer
They are congruent.
Card 14 of 20
MediumStudy card 14
Prompt
What is true of isosceles trapezoid base angles?
Answer
Each pair along one base is congruent.
Card 15 of 20
MediumStudy card 15
Prompt
Bases are 12 and 20. Find the midsegment.
Answer
16.
Card 16 of 20
MediumStudy card 16
Prompt
Why can trapezoid area also be written \(A=mh\)?
Answer
The midsegment m equals the average of the bases.
Card 17 of 20
HardStudy card 17
Prompt
A rectangle is 9 by 12. Find its diagonal.
Answer
15.
Card 18 of 20
HardStudy card 18
Prompt
Why are all four rectangle half-diagonals equal?
Answer
The full diagonals are congruent and each is bisected.
Card 19 of 20
HardStudy card 19
Prompt
Can a trapezoid leg be used as height?
Answer
Only when it is perpendicular to the bases.
Card 20 of 20
HardStudy card 20
Prompt
Which properties require an isosceles trapezoid?
Answer
Congruent legs, congruent diagonals, and paired congruent base angles.
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.