'Cyclic quadrilateral' presentation slideshows

Find the measure of each lettered angle.

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Plane Figures

Plane Figures. Triangles. acute-angled triangle. equilateral triangle. obtuse-angled triangle. isosceles triangle. isosceles right-angled triangle. right-angled triangle. Quadrilaterals. Parallelogram. Square. Rectangle. Trapezium. Kite. Rhombus. Cyclic Quadrilateral. Polygons.

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Angles

Angles. Jeopardy. Hosted by Dr Morgan. Cat1. Cat2. Cat3. Cat4. Cat5. $100. $100. $100. $100. $100. $200. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $400. $400. $400. $500. $500. $500. $500. $500. Cat1 for $100.

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Lesson 6.3 Inscribed Angles and their Intercepted Arcs

Lesson 6.3 Inscribed Angles and their Intercepted Arcs. Objectives: Using Inscribed Angles Using Properties of Inscribed Angles. Homework: Lesson 6.3/ 1-12 Friday-Chapter 6 Quiz 2 on 6.1-6.3. Using Inscribed Angles. Inscribed Angles & Intercepted Arcs.

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CIRCLE THEOREMS

CIRCLE THEOREMS. Questions normally ask for the size of an angle and reasons why. In each case use the theorems you know and what is special. Any triangles made from radii will always be isosceles. CIRCLE THEOREMS. Tangent and Radius are perpendicular. CIRCLE THEOREMS.

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Draw and label on a circle: Centre Radius Diameter Circumference Chord Tangent Arc

Draw and label on a circle: Centre Radius Diameter Circumference Chord Tangent Arc Sector (major/minor) Segment (major/minor). Circle Fact 1. Isosceles Triangle. Any triangle AOB with A & B on the circumference and O at the centre of a circle is isosceles. r. a. 180 - 2a. r. a.

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Math Mathematicians

Math Mathematicians. By: Matt Dorsey. Amalie Emmy Noether. Amalie was born in Germany in March 23, 1882, and died on April 14, 1935. She was the eldest of four children, but only one of two that survived childhood her brother, Fritz also grew up to become a noted mathematician of his time.

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Circle Theorems

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Linking Angles

Linking Angles. Visualising Angle Relationships in Circles. B. P. O. C. Two circles centred at O and P intersect at B and C. T. B. P. O. C. A. The tangent at B to the circle centred P meets the circle centred O at A. T. B. D. P. O. C. A.

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CLF Inset day 6 th July 2012

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Circle Theorems

Circle Theorems. The angle at the centre is twice the angle at the circumference for angles which stand on the same arc. . Circle Theorems. Circle Theorems. Circle Theorems. Circle Theorems. Circle Theorems. Circle Theorems. Circle Theorems. Circle Theorems.

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Circle Geometry and Theorems

By Jonathan and Aislinn. Circle Geometry and Theorems. Circle diameter. Task A - diameter. Task a - chord. Circle chord. TASK A - tangent. Circle tangent. This is an isosceles triangle. Because two of the sides are the same and the third one is not. . Task A.

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Circle Theorems: 3.

The opposite angles of a cyclic quadrilateral add up to 180 0. Circle Theorems: 3. D. cyclic quadrilateral. C. A. B. The opposite angles of a cyclic quadrilateral add up to 180 0. Circle Theorems: 3. D. C. A. B. The opposite angles of a cyclic quadrilateral add up to 180 0.

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Activity 2-15 : The Cross-ratio

www.carom-maths.co.uk. Activity 2-15 : The Cross-ratio. What happens in the above diagram if we calculate ?. Say A = (p, ap ), B = (q, bq ), C = (r, cr ), D = (s, ds). . So ap = mp + k , bq = mq + k, cr = mr + k , ds = ms +k . . .

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Starter 1) Draw a circle. Label the circumference. Draw and label the radius and diameter.

Starter 1) Draw a circle. Label the circumference. Draw and label the radius and diameter. 2) Draw another circle. Draw and label a chord, a sector, an arc, and a segment. 3) Draw a semicircle. .

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This is the ARC

Centre of Circle. o. This is the ARC. x. 2x. The Angle x subtended at the centre of a circle by an arc is twice the size of the angle on the circumference subtended by the same arc. Centre of Circle. This is the ARC. Case 2. x. o. 2x.

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Section 7.2 Perimeter and Area of Polygons

Section 7.2 Perimeter and Area of Polygons. The perimeter of a polygon is the sum of the lengths of all sides of the polygon. Formulas for Perimeter. Triangles Scalene: P = a + b + c Isosceles: P = b + 2s (base + 2 equal sides) Equilateral: P = 3s (3 x sides) Quadrilaterals

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Circle - Introduction

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Proofs for circle theorems

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Find the size of angles: ABT; OAB; AED; ABD; CBD.

Find the size of angles: ABT; OAB; AED; ABD; CBD. TQ is a tangent to the circle, centre O. Calculate the size of the angle. Show that angle DCE = ABE and that triangle ABE and BCD are similar. Find the size of the angles x, y and z. Find the size of angle x.

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