Mathematics - 0580 CIE

Geometrical Terms

Muhtasari

Geometry has its own precise vocabulary, and getting that vocabulary right is the difference between a confident answer and a confused one. A vertex is not just a corner, a chord is not the same as a diameter, and congruent means something quite different from similar. Once the words are exact, the shapes start to make sense.

In this lesson you will build the language of geometry from the ground up: points and lines, the four kinds of angle, the families of triangles and quadrilaterals, polygons and their nets, and every part of a circle from its centre to its segment. No drawing is needed here, only clear definitions you can rely on for the rest of the course.

Malengo

Use and interpret the following geometrical terms: point vertex line parallel perpendicular bearing right angle acute, obtuse and reflex angles interior and exterior angles similar congruent scale factor.
Use and interpret the vocabulary of: triangles special quadrilaterals polygons nets simple solids.
Use and interpret the vocabulary of a circle.
Use and interpret the following geometrical terms: point vertex line plane parallel perpendicular perpendicular bisector bearing right angle acute, obtuse and reflex angles interior and exterior angles similar congruent scale factor. (Extended only)
Use and interpret the vocabulary of: triangles special quadrilaterals polygons nets solids. (Extended only)

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Maelezo ya Somo

Every geometry question is written in this vocabulary, so a single misunderstood word can cost a whole answer. When a question says the triangle is isosceles, or asks for the exterior angle, or names a tangent to a circle, it is handing you information for free, but only if you know what the word means. Mastering these terms now makes every later topic, from angles to constructions to circle theorems, far easier to follow.

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Two lines that meet at exactly 90 degrees are described as: A. parallel B. perpendicular C. acute D. reflex Answer: B
An angle of 210 degrees is best described as: A. acute B. obtuse C. reflex D. right Answer: C
A triangle with all three sides equal is called: A. scalene B. isosceles C. equilateral D. right-angled Answer: C
A straight line that touches a circle at exactly one point is a: A. chord B. tangent C. radius D. arc Answer: B
A 3 cm by 5 cm rectangle is enlarged to 9 cm by 15 cm. The two rectangles are: A. congruent B. similar C. neither D. equilateral Answer: B

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Vitabu Vinavyopendekezwa

Cambridge IGCSE Mathematics Core and Extended Coursebook

Manukuu: Second edition

Mchapishaji: Cambridge University Press

Mwaka: 2018

ISBN: 978-1-108-43718-9

Maelezo: Endorsed coursebook with full coverage of the 0580/0980 syllabus, worked examples and practice exercises.

Cambridge IGCSE Core and Extended Mathematics

Manukuu: Fifth edition

Mchapishaji: Hodder Education

Mwaka: 2023

ISBN: 978-1-398-37391-4

Maelezo: Endorsed textbook with worked examples and graded questions across Core and Extended content.

Jifunze zaidi kutoka vyanzo huria

Sehemu ya kitabu Use Properties of Angles, Triangles, and the Pythagorean Theorem OpenStax · Prealgebra
Use the properties of angles

"Prealgebra: Use Properties of Angles, Triangles, and the Pythagorean Theorem" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/9-3-use-properties-of-angles-triangles-and-the-pythagorean-theorem. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction

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