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What does a complementary angle sum to? |
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What does supplementary angle sum to? |
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Vertically opposite angles are? |
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Alternate and corresponding angles are? |
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Supplementary (add to 180) a +b = 180 |
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What is the polygon angle sum? |
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What is the exterior angle theorem? |
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That the exterior angle is equal to the sum of the two opposite interior angles c=a+b
[image] |
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Name tests for congruence |
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When corresponding sides are equal[image] |
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When two corresponding sides and the included angle are equal
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Two corresponding angles and a side are equal.[image] |
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A right angle, the hypotenuse and one other pair of corresponding angles are equal.[image] |
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What are the signs for perpendicular and parallel? |
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Properties and tests of a parallelogram? |
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Properties and tests of a rhombus? |
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Properties and tests of a rectangle? |
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Properties and tests of a square? |
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Name first property of a parallelogram |
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A parallelogram (with parallel opposite sides) has opposite sides of equal lengths. |
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Name second property of parallelogram |
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A quadrilateral with opposite sides of equal length is a parallelogram |
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What are similar figures? |
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Shapes that have the same shape but are of different size.
- corresponding angles are equal
- corresponding sides are in the same proportion (or ratio) |
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What are the symbols III or ~ used for? |
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Used to describe similarity and to write similarity statements.
<ABD III <DEF |
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CHarcteristics of congruence? |
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[image]
-same shape and size
-corresponding angles equal
-tests are SSS,SAS,AAS, RHS |
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Characteristics of similarity? |
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[image]
-same shape different size
-corresponding angles are equal
-corresponding side lengths are all proportional and will have the same scale factor
[image] |
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-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 |
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What is chord theorem one? |
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Chords of equal length subtend equal angles at the centre of the circle
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Chords of equal length are equidistant (of equal distance) from the centre of the circle.
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The perpendicular from the centre of the circle to the chord and the angle at the centre subtended by the chord.
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the perpendicular bisectors of every chord of a circle intersect at the centre of the circle[image] |
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What is circle theorem 1? |
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the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc [image] |
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What is circle theorem 2? |
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Angle in a semicircle is 90 degrees[image] |
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What is circle theorem 3? |
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The angles in the same segment from a common chord are equal.
[image]l. |
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What is circle theorem 4? |
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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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