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Geometry & Theorms
examples and definitons
34
Mathematics
10th Grade
08/03/2016

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Cards

Term
What does a complementary angle sum to?
Definition
90 degrees
Term
What does supplementary angle sum to?
Definition
180 degrees
Term
A revolution equals?
Definition
360 degrees
Term
Vertically opposite angles are?
Definition
Equal
Term
Alternate and corresponding angles are?
Definition
equal
Term
Co interior Angles are?
Definition
Supplementary (add to 180) a +b = 180
Term
What is the polygon angle sum?
Definition

180(n-2) 

------------

n

Term
What is the exterior angle theorem?
Definition

That the exterior angle is equal to the sum of the two opposite interior angles c=a+b 

[image]

Term
Name tests for congruence
Definition

- SSS

- SAS

- AAS

- RHS

 

Term
What is SSS?
Definition
When corresponding sides are equal[image]
Term
What is SAS?
Definition

When two corresponding sides and the included angle are equal

[image]

Term
What is AAS?
Definition
Two corresponding angles and a side are equal.[image]
Term
What is RHS?
Definition
A right angle, the hypotenuse and one other pair of corresponding angles are equal.[image]
Term
What are the signs for perpendicular and parallel?
Definition
[image]
Term
Properties and tests of a parallelogram?
Definition
[image]
Term
Properties and tests of a rhombus?
Definition
[image]
Term
Properties and tests of a rectangle?
Definition
[image]
Term
Properties and tests of a square?
Definition
[image]
Term
Name first property of a parallelogram
Definition
A parallelogram (with parallel opposite sides) has opposite sides of equal lengths.
Term
Name second property of parallelogram
Definition
A quadrilateral with opposite sides of equal length is a parallelogram
Term
What are similar figures?
Definition

Shapes that have the same shape but are of different size. 

- corresponding angles are equal 

- corresponding sides are in the same proportion (or ratio)

Term
What are the symbols III or ~ used for?
Definition

Used to describe similarity and to write similarity statements. 

<ABD III <DEF

Term
CHarcteristics of congruence?
Definition

[image]

-same shape and size 

-corresponding angles equal 

-tests are SSS,SAS,AAS, RHS

Term
 Characteristics of similarity?
Definition

[image]

-same shape different size 

-corresponding angles are equal 

-corresponding side lengths are all proportional and will have the same scale factor 

[image]

Term
Tests for similarity?
Definition

-AAA all angles are equal,if 2 angles are equal thenall3 are

- SSS all sides are proportional 

- SAS corresponding sides same ration and same angles 

- RHS hypotenuse same ratio and right angle 

Term
Describe circle language
Definition
[image]
Term
What is chord theorem one?
Definition

Chords of equal length subtend equal angles at the centre of the circle

[image]

Term
What is chord theorem 2?
Definition

Chords of equal length are equidistant (of equal distance) from the centre of the circle.

[image]

Term
What is chord theorem 3?
Definition

The perpendicular from the centre of the circle to the chord and the angle at the centre subtended by the chord. 

[image]

Term
What is chord theorem 4?
Definition
the perpendicular bisectors of every chord of a circle intersect at the centre of the circle[image]
Term
What is circle theorem 1?
Definition
the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc [image]
Term
What is circle theorem 2?
Definition
Angle in a semicircle is 90 degrees[image]
Term
What is circle theorem 3?
Definition

The angles in the same segment from a common chord are equal.

[image]l.

Term
What is circle theorem 4?
Definition

The opposite angles of a quadrilateral inscribed in a circle sum to 180 degrees. That is, the opposite angles of a cyclic quadrilateral are supplementary. [image]

 

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