Um welches Viereck handelt es sich?

Diese Seite generiert bei jedem Neuladen per Zufall die Punktkoordinaten der Ecken ABCD von 20 Vierecken. Es können Quadrate, Rechtecke, Rauten, Parallelogramme, gleichschenklige Trapeze, allgemeine Trapeze oder Drachenvierecke sein. Finde durch Vergleich der Seiten- und Diagonalenvektoren (ggf. Betrag und Skalarprodukt) heraus, um welche Art von Viereck es sich jeweils handelt.
Zur Übung kannst du dir ein paar Blätter ausdrucken und jeweils die rechte Seite (mit der Lösung) abdecken oder abschneiden.


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1) A(-6|-7|8), B(-8|-11|4), C(-20|-7|6), D(-18|-3|10)   Rechteck
2) A(-6|-1|-2), B(-15|-13|-26), C(-6.75|-9|-18), D(6.75|9|18)   gl.schenkl. Trapez
3) A(-10|10|9), B(-22|8|-1), C(-32|-4|-2), D(-20|-2|8)   Parallelogramm
4) A(-7|0|7), B(-23|14|-25), C(-55|-30|-29), D(-23|-34|15)   Drachenviereck
5) A(-5|-7|-10), B(-9|-15|-12), C(-12|-18|-23), D(-4|-2|-19)   allg. Trapez
6) A(-9|5|6), B(36|38|-79), C(-13|-31|-42), D(-60|-82|19)   Drachenviereck
7) A(-7|-6|-2), B(-22|-9|-14), C(-27|-10|-23), D(-19.5|-8.5|-17)   allg. Trapez
8) A(6|10|6), B(0|4|0), C(-4.5|-4.5|-4.5), D(4.5|4.5|4.5)   gl.schenkl. Trapez
9) A(10|10|3), B(0.625|-6.875|21.75), C(-20|-27.5|-12), D(4.375|8.125|-23.25)   Drachenviereck
10) A(9|10|10), B(3|6|-2), C(0|0|0), D(0|0|0)   gl.schenkl. Trapez
11) A(3|-1|5), B(-7|-41|-10), C(-15|-60|-22.5), D(15|60|22.5)   gl.schenkl. Trapez
12) A(-1|5|-6), B(-6|-3|-12), C(-11|-8|-20), D(-6|0|-14)   Parallelogramm
13) A(8|4|-9), B(-8|-6|-21), C(-4|-2.5|-3), D(4|2.5|3)   gl.schenkl. Trapez
14) A(-4|-10|-9), B(-10|-8|0), C(-4|1|2), D(2|-1|-7)   Quadrat
15) A(-10|10|-8), B(-12|-1|-18), C(-14|-6|-28), D(-12|5|-18)   Parallelogramm
16) A(2|8|2), B(-4|-2|1), C(-12|-8|-5), D(-6|2|-4)   Parallelogramm
17) A(5|-4|10), B(4|-5|8), C(2|3|5), D(3|4|7)   Rechteck
18) A(-1|-4|3), B(-10|-8|5), C(-7|-7|-3), D(0|-4|-7)   Drachenviereck
19) A(9|-6|2), B(-1|-7|-3), C(-4|-11|-14), D(11|-9.5|-6.5)   allg. Trapez
20) A(-6|0|-1), B(-26|-1|9), C(-30|-18|-5), D(-10|-17|-15)   Raute