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August 31, 2025, 08:12:44 am

Author Topic: Simpler Geometric facts for vector proofs  (Read 1067 times)  Share 

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rowshan

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Simpler Geometric facts for vector proofs
« on: August 28, 2008, 05:11:53 pm »
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What are the geometric facts are we supposed to know for vector proofs?
Can anyone post a list of these? My Hinemann book provides me with nothing, neither does the study guides, it just says im supposed to know simple geometric facts learned in earlier years(clearly i haven't! =p).

ell

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Re: Simpler Geometric facts for vector proofs
« Reply #1 on: August 28, 2008, 05:56:57 pm »
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• the solution of triangles in two-dimensional situations;
• the sum of the interior angles of a triangle is 180°;
• the sum of the exterior angles of a convex polygon is 360°;
• corresponding angles of lines cut by a transversal are equal if, and only if, the lines are parallel;
• alternate angles of lines cut by a transversal are equal if, and only if, the lines are parallel;
• opposite angles of a parallelogram are equal;
• opposite sides of a parallelogram are equal in length;
• the base angles of an isosceles triangle are equal;
• the line joining the vertex to the midpoint of the base of an isosceles triangle is perpendicular to
the base;
• the perpendicular bisector of the base of an isosceles triangle passes through the opposite vertex;
• the angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc
at the circumference;
• the angle in a semicircle is a right angle;
• angles in the same segment of a circle are equal;
• the sum of the opposite angles of a cyclic quadrilateral is 180°;
• an exterior angle of a cyclic quadrilateral and the interior opposite angle are equal;
• the two tangents to a circle from an exterior point are equal in length;
• a tangent to a circle is perpendicular to the radius to the point of contact;
• the angle between a tangent to a circle and a chord through the point of contact is equal to the angle
in the alternate segment

rowshan

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Re: Simpler Geometric facts for vector proofs
« Reply #2 on: August 28, 2008, 06:24:54 pm »
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cheers.

pinchies

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Re: Simpler Geometric facts for vector proofs
« Reply #3 on: September 06, 2008, 11:03:21 pm »
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Wow, thanks!   :o
2007: Soft Dev 46 ~ 2008: Eng (30+) , Chem(37+), Physics(45+), Methods (42+), Spec (35+ stupid exam 1...) ~ MHS 2008 - here we go! Enter dream aim: 97+, but realistic 95+

Collin Li

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Re: Simpler Geometric facts for vector proofs
« Reply #4 on: September 06, 2008, 11:05:16 pm »
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That list is 100% credible in terms of what you need to know. It comes from the study design specified by VCAA, and it is considered assumed knowledge.