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Презентация на тему Circle theorems

Name these FeaturesThe distance from the centre to the edgeThe distance from one side to the other passing through the centreThe red line The blue lineTangent Degree Chord Sector Segment Diameter Sphere Concentric Arc
Circle Theorems Name these FeaturesThe distance from the centre to the edgeThe distance from The distance from the centre to the edge RADIUSThe distance from one A triangle drawn from the two ends of a diameter will ALWAYS Tangent-Radius meet at90°90° Isosceles triangle formed by two radiiWhy isosceles? Both radii which means they’re the same length Chord Bisector is a DIAMETERA chord is any line drawn across a Angles in the same segment are equalAll angles drawn from a chord Angles at the centre is twice the angle at the edge 2aaThe A cylclic quadrilateral is a 4-sided shape with every corner touching the Example 1 Example 2
Слайды презентации

Слайд 2

Name these Features
The distance from the centre to

Name these FeaturesThe distance from the centre to the edgeThe distance

the edge
The distance from one side to the other

passing through the centre
The red line
The blue line

Tangent Degree Chord Sector Segment Diameter Sphere Concentric Arc


Слайд 3

The distance from the centre to the edge

The distance from the centre to the edge RADIUSThe distance from

RADIUS
The distance from one side to the other passing

through the centre DIAMETER
The red line TANGENT is a line that touches the edge of a circle
The blue line CHORD any line that across a circle

Where can you see i) a segment ii) a sector iii) an arc?

Sector

Segment

An ARC is the name for part of the circumference


Слайд 4 A triangle drawn from the two ends of

A triangle drawn from the two ends of a diameter will

a diameter will ALWAYS make an angle 90° where

it hits the edge of the circle.

Angle in a semi-circle = 90°



Слайд 5 Tangent-Radius meet at

90°
90°

Tangent-Radius meet at90°90°

Слайд 6 Isosceles triangle formed by two radii
Why isosceles? Both

Isosceles triangle formed by two radiiWhy isosceles? Both radii which means they’re the same length

radii which means they’re the same length


Слайд 7 Chord Bisector is a DIAMETER
A chord is any

Chord Bisector is a DIAMETERA chord is any line drawn across

line drawn across a circle. No matter where you

draw a chord, the line that cuts it exactly in half is (90°) will go through the centre of the circle



Слайд 8 Angles in the same segment are equal
All angles

Angles in the same segment are equalAll angles drawn from a

drawn from a chord will have the same angle

where they touch the circle. Also the two angles on opposite sides of the chord add up to 180°

a + b = 180°


Слайд 9 Angles at the centre is twice the angle

Angles at the centre is twice the angle at the edge

at the edge




2a
a
The angles made at the centre

of the circle is double the angle made at the edge of the circle from the same two points (two ends of the chord)

Слайд 10 A cylclic quadrilateral is a 4-sided shape with

A cylclic quadrilateral is a 4-sided shape with every corner touching

every corner touching the circle. Both pairs of opposite

pairs of angles add up to 180°

Opposite angles in a cyclic quadrilateral add up to 180°




b

c

d

a


Слайд 11 Example 1

Example 1

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