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HP Prime Graphing Calculator User Manual

Page 191

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Geometry

187

Example:

is_isoscelesl(point(0,0), point(4,0),
point(2,4)) returns 3.

is_orthogonal

Tests whether or not two lines or two circles are orthogonal

(perpendicular). In the case of two circles, tests whether or not

the tangent lines at a point of intersection are orthogonal.

Returns 1 if they are and 0 otherwise.

is_orthogonal(line1, line2)

or

is_orthogonal(circle1, circle2)

Example:

is_orthogonal(line(y=x),line(y=-x)) returns 1.

is_parallel

Tests whether or not two lines are parallel. Returns 1 if they

are and 0 otherwise.

is_parallel(line1, line2)

Example:

is_parallel(line(2x+3y=7),line(2x+3y=9)

returns 1.

is_parallelogram

Tests whether or not a set of four points are vertices of a

parallelogram. Returns 0 if they are not. If they are, then

returns 1 if they form only a parallelogram, 2 if they form a

rhombus, 3 if they form a rectangle, and 4 if they form a

square.

is_parallelogram(point1, point2, point3,
point4)

Example:

is_parallelogram(point(0,0), point(2,4),
point(0,8), point(-2,4)) returns 2.

is_perpendicular

Similar to is_orthogonal. Tests whether or not two lines are

perpendicular.

is_perpendicular(line1, line2)