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# Geometry

/Tag: Geometry
25 11, 2016

Cyclic Quadrilaterals opposite angles of a cyclic quadrilateral are equal   In the diagram, 0 is the centre of the circle and AB║AD and BC meet at P. Prove: a. CP = DP b. DABP is isosceles c. OAPC is a cyclic quadrilateral. a. ∠PCD = ∠ABC     (corresponding [...]

13 07, 2016

## Area Problems

Area Problems worked examples  A circle is inscribed in a quadrant of a circle with radius 1cm. Find the radius of the smaller circle.    make a diagram, including all given information. the radius of the quadrant is 1, form a right triangle where the hypotenuse will be [...]

26 06, 2016

## Similar Triangles

Similar Triangles Equiangular Two angles of a triangle are equal to two angles of another triangle. Three Sides Three sides of a triangle are proportional to three sides of another triangle 2 Sides & Included Angle Two sides of a triangle are proportional to [...]

19 06, 2016

## Circle Geometry

Circle Geometry Go to the Circle Geometry to see more questions or ask your own Topics Covered in Circle Geometry Parts Of A Cirlce Arcs, Angles & Chords Chord Properties Concyclic Points Cyclic Quadrilaterals Tangent Properties Formulas Used [...]

17 06, 2016

## Circle Geometry

Circle Geometry Go to the Circle Geometry Forum to see more questions or ask your own Topics Covered in Circle Geometry Parts Of A Cirlce Arcs, Angles & Chords Chord Properties Concyclic Points Tangent Properties Formulas Used in Circle Geometry [...]

12 06, 2016

## Similar Triangle Ratios

Similar Triangle Ratios the scale factor is what you need to times the side in the first triangle to get the number in the second triangle scale factors can be expressed in two ways Going from first triangle to second: $frac{b}{a}$ or going from second triangle to [...]

11 06, 2016

## Congruent Triangles

Congruent Triangles SSS Side Side Side All three sides of one triangle are equal to three sides of the other triangle SAS Side Angle Side Sides about equal angle in one triangle equal to sides about same angle in second triangle AAS Angle Angle  Side Two angles [...]

9 06, 2016

## Exterior Angle of Polygon

Exterior Angle of Polygon $\angle =\frac{360}{n}$ the exterior angles of any polygon add up to 360º worked examples Find the exterior angle of a hexagon. $\angle=\frac{360}{60}$ = 60° hexagon has 6 sides substitute n = 6 further examples harder examples A [...]

8 06, 2016

## Interior Angle of Polygon

Interior Angle of Polygon $\angle =\frac{180(n-2)}{n}$ worked examples Find size if the angle in a regular octagon. $\angle =\frac{180(8-2)}{8}$ $\angle =\frac{1080}{8}$ = 135° octagon has 6 sides substitute n = 8 into formula $\angle =\frac{180(n-2)}{n}$ further examples harder examples [...]
Interior Angle of Polygon $interior\;\angle =\frac{180(n-2)}{n}$ worked examples Find size if the angle in a regular octagon. $\angle =\frac{180(8-2)}{8}$ $\angle =\frac{1080}{8}$ = 135° octagon has 6 sides substitute n = 8 into formula $\angle =\frac{180(n-2)}{n}$ further examples harder examples How many sides does [...]