Shape Properties For Vector Proofs

[mano91]

Does anyone have a document or sheet that contains all the shape terms, ie. rhombus, paralellogram, quadrilateral and all those terms with their properties?
i think it would be useful for vector proofs

[TrueTears]

Square is a special case of 2 shapes, Rectangle (equal angles) or Rhombus (equal sides).
Rectangle and Rhombus are both special cases of a parallelogram (2 parallel sides). The parallelogram is a special case of the trapezium (1 parallel side). The trapezium and the cyclic quadrilateral are special cases of a quadrilateral.

For a square you need to prove
1. Angles are equal
2. Opposite sides are congruent.

For a rectangle: All angles are right angles.

For a rhombus: Opposite sides are congruent.

For a parallelogram: Opposite sides are parallel.

For a trapezium: 1 pair of opposite sides are parallel.

For a cyclic quadrilateral: Opposite angles are supplementary

Hope that helps.

[kdgamz]

Square is a special case of 2 shapes, Rectangle (equal angles) or Rhombus (equal sides).
Rectangle and Rhombus are both special cases of a parallelogram (2 parallel sides). The parallelogram is a special case of the trapezium (1 parallel side). The trapezium and the cyclic quadrilateral are special cases of a quadrilateral.

For a square you need to prove
1. Angles are equal
2. Opposite sides are congruent.

For a rectangle: All angles are right angles.

For a rhombus: Opposite sides are congruent.

For a parallelogram: Opposite sides are parallel.

For a trapezium: 1 pair of opposite sides are parallel.

For a cyclic quadrilateral: Opposite angles are complementary.

Hope that helps.

thanks heaps...although

- does congruent mean equal to each other?
- what does concurrent mean? and how do we prove something is concurrent?
- what does a cyclic quadrilateral lool like? and how do we prove opposite sides are complementary??

this last minute help would be really appreciated

[TrueTears]

congruent means exactly equal to.

concurrent means 3 or more lines intersecting at a single point.

cyclic quadrilateral is one that fits has all 4 vertices on the circumference of a circle. And also just realised I made a typo it should be supplementary, meaning they add to 180 degrees.

[kdgamz]

congruent means exactly equal to.

concurrent means 3 or more lines intersecting at a single point.

cyclic quadrilateral is one that fits has all 4 vertices on the circumference of a circle. And also just realised I made a typo it should be supplementary, meaning they add to 180 degrees.

thanks bro....so just with what you said... a square fits inside a circle right? therefore its a cyclic quadrilateral...right??

[sachinmachin]

concurrent means 3 or more lines intersecting at a single point.

well i concur!!  lol...inside joke

[TrueTears]

congruent means exactly equal to.

concurrent means 3 or more lines intersecting at a single point.

cyclic quadrilateral is one that fits has all 4 vertices on the circumference of a circle. And also just realised I made a typo it should be supplementary, meaning they add to 180 degrees.

thanks bro....so just with what you said... a square fits inside a circle right? therefore its a cyclic quadrilateral...right??

No, not a square, all it needs to be is just 4 vertices touching the circumference.

[Over9000]

congruent means exactly equal to.

concurrent means 3 or more lines intersecting at a single point.

cyclic quadrilateral is one that fits has all 4 vertices on the circumference of a circle. And also just realised I made a typo it should be supplementary, meaning they add to 180 degrees.

thanks bro....so just with what you said... a square fits inside a circle right? therefore its a cyclic quadrilateral...right??

No, not a square, all it needs to be is just 4 vertices touching the circumference.

But isn't he asking if a square is a type of cyclic quadrilateral?

[TrueTears]

congruent means exactly equal to.

concurrent means 3 or more lines intersecting at a single point.

cyclic quadrilateral is one that fits has all 4 vertices on the circumference of a circle. And also just realised I made a typo it should be supplementary, meaning they add to 180 degrees.

thanks bro....so just with what you said... a square fits inside a circle right? therefore its a cyclic quadrilateral...right??

No, not a square, all it needs to be is just 4 vertices touching the circumference.

But isn't he asking if a square is a type of cyclic quadrilateral?

True looks like I'm an idiot for not reading properly, yeah a square that fits into a circle is a cyclic quadrilateral.

[kdgamz]

congruent means exactly equal to.

concurrent means 3 or more lines intersecting at a single point.

cyclic quadrilateral is one that fits has all 4 vertices on the circumference of a circle. And also just realised I made a typo it should be supplementary, meaning they add to 180 degrees.

thanks bro....so just with what you said... a square fits inside a circle right? therefore its a cyclic quadrilateral...right??

No, not a square, all it needs to be is just 4 vertices touching the circumference.

But isn't he asking if a square is a type of cyclic quadrilateral?

True looks like I'm an idiot for not reading properly, yeah a square that fits into a circle is a cyclic quadrilateral.

lol thanks guys

[sachinmachin]

a square should definitely be considered as a cyclic quadrilateral. why would it not be??

[Over9000]

a square should definitely be considered as a cyclic quadrilateral. why would it not be??

He was just asking, no one sed it shudnt be 

[sachinmachin]

a square should definitely be considered as a cyclic quadrilateral. why would it not be??

He was just asking, no one sed it shudnt be 

my bad