randomQuadAngles.trapezoid()
randRange( 0, 3 )
ANSWER_POS % 2 == 0 ? ( ANSWER_POS + 3 ) % 4 : ( ANSWER_POS + 1 ) % 4
function(){
var a = [ "", "","" ,"" ];
a[ ANSWER_POS ] = "x";
a[ SHOWN_POS ] = ANGLES[ SHOWN_POS ] + "^{\\circ}";
return a;
}()
What is the value of the angle marked with "x" ?
init({
range: [ [-1, 12 ], [ -8, -1 ] ]
})
var q = new Quadrilateral( [ 3.5, -7 ], ANGLES, randRange(0, 1 ) + 0.5, "", 3 );
q.boxOut( [ [ [ 0, -10 ], [ 0, 10 ] ] ], [ 0.7, 0 ] );
q.boxOut( [ [ [ 11, -10 ], [ 11, 10 ] ] ], [ -0.7, 0 ] );
q.draw();
q.labels = { "angles" : ANG_LABELS, "sides" : jQuery.map( jQuery.map( q.sides, lineLength ), function( x ){ return x.toFixed( 1 ); } ) };
q.drawLabels();
ANGLES[ ANSWER_POS ]
This figure is a trapezoid.
The angles of a trapezoid side are supplementary.
ANGLES[ SHOWN_POS ] + x = 180
x = 180 - ANGLES[ SHOWN_POS ]
x = ANGLES[ ANSWER_POS ]
randomQuadAngles.isoscelesTrapezoid()
ANSWER_POS % 2 == 0 ? ( ANSWER_POS + 1 ) : ( ANSWER_POS - 1 )
This figure is an isosceles trapezoid.
The angles of bases of an isosceles trapezoid are equal.
Therefore, the angle x is also ANGLES[ SHOWN_POS ]
randomQuadAngles.parallelogram()
( ANSWER_POS + 2 ) % 4
This quadrilateral is a parallelogram.
Opposite angles of a parallelogram are equal.
Therefore, the angle x is also ANGLES[ SHOWN_POS ]
randomQuadAngles.parallelogram()
ANSWER_POS % 2 == 0 ? ( ANSWER_POS + 1 ) : ( ANSWER_POS - 1 )
This quadrilateral is a parallelogram.
Adjacent angles of a parallelogram are supplementary.
ANGLES[ SHOWN_POS ] + x = 180
x = 180 - ANGLES[ SHOWN_POS ]
x = ANGLES[ ANSWER_POS ]
randomQuadAngles.rhombus()
init({
range: [ [-1, 13 ], [ -8, -1 ] ]
})
var q = new Quadrilateral( [ 3.5, -7 ], ANGLES, 1, "", 3 );
q.boxOut( [ [ [ 0, -10 ], [ 0, 10 ] ] ], [ 0.7, 0 ] );
q.boxOut( [ [ [ 12, -10 ], [ 12, 10 ] ] ], [ -0.7, 0 ] );
q.draw();
q.labels = { "angles" : ANG_LABELS, "sides" : jQuery.map( jQuery.map( q.sides, lineLength ), function( x ){ return x.toFixed( 1 ); } ) };
q.drawLabels();
This quadrilateral is a rhombus, because it has all sides equal.
Opposite angles of a rhombus are equal.
Therefore, the angle x is also ANGLES[ SHOWN_POS ]
randomQuadAngles.rhombus()
ANSWER_POS % 2 == 0 ? ( ANSWER_POS + 1 ) : ( ANSWER_POS - 1 )
This quadrilateral is a rhombus, because it has all sides equal.
Adjacent angles of a rhombus are supplementary.
ANGLES[ SHOWN_POS ] + x = 180
x = 180 - ANGLES[ SHOWN_POS ]
x = ANGLES[ ANSWER_POS ]
randomQuadAngles.kite()
randFromArray( [ 1, 3 ] )
( ANSWER_POS + 2 ) % 4
This quadrilateral is a kite, because it has two pairs of adjacent sides equal.
Angles between the non-equal sides of a kite are equal.
Therefore, the angle x is also ANGLES[ SHOWN_POS ]