Squares: Drawn vs. Constructed

Nine squares are [i]drawn[/i] here, but only one of them is [i]constructed[/i] as a square.[br][br]By moving vertices, decide what each "square" was constructed to be. Hint: try to move every vertex of every square.

Mix/match question

[b]Try the mix/match question above on paper.[br][br]To check your answers, enter them below.[/b]

Which of the following categories best describes [math]A_1B_1C_1D_1[/math]?

[b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br] [b]Other[/b] (what is the mystery shape?) [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments) [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br] [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br]

Which of the following categories best describes [math]A_2B_2C_2D_2[/math]?

[b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments) [b]Other[/b] (what is the mystery shape?) [b]Square[/b] (a rectangle that is also a rhombus)[br] [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br]

Which of the following categories best describes [math]A_3B_3C_3D_3[/math]?

[b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments) [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br] [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br] [b]Other[/b] (what is the mystery shape?)

Which of the following categories best describes [math]A_4B_4C_4D_4[/math]?

[b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br] [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br] [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Other[/b] (what is the mystery shape?) [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments)

Which of the following categories best describes [math]A_5B_5C_5D_5[/math]?

[b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br] [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Other[/b] (what is the mystery shape?) [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments)

Which of the following categories best describes [math]A_6B_6C_6D_6[/math]?

[b]Other[/b] (what is the mystery shape?) [b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br] [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br] [b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments) [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br]

Which of the following categories best describes [math]A_7B_7C_7D_7[/math]?

[b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments) [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br] [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Other[/b] (what is the mystery shape?) [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br]

Which of the following categories best describes [math]A_8B_8C_8D_8[/math]?

[b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments) [b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br] [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Other[/b] (what is the mystery shape?) [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br]

Which of the following categories best describes [math]A_9B_9C_9D_9[/math]?

[b]Quadrilateral[/b] (a closed loop consisting of exactly four straight line segments) [b]Isosceles Trapezoid[/b] (a trapezoid with a pair of congruent base angles)[br] [b]Other[/b] (what is the mystery shape?) [b]Parallelogram[/b] (a quadrilateral with two pairs of parallel sides)[br] [b]Rectangle[/b] (a quadrilateral with four right angles)[br] [b]Trapezoid[/b] (a quadrilateral with one* pair of parallel sides)[br] [b]Kite[/b] (a quadrilateral with two pairs of adjacent, congruent sides)[br] [b]Rhombus[/b] (a quadrilateral with four congruent sides)[br] [b]Square[/b] (a rectangle that is also a rhombus)[br]

[i]This activity is adapted from some training materials for Geometer's Sketchpad, but I haven't been able to track down a useful link.[/i]

Squares: Drawn vs. Constructed

Mix/match question

Information: Squares: Drawn vs. Constructed