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POLYGONS
POLYGONS

... The object (ABCODE) requires thirteen transformations to move along the white production line below. It needs to leave in the position shown at the exit for the next stage of production. • The object must not overlap the shaded part around the production line path. • Any of the sides AB, BC, DE an ...
Two-dimensional shapes - Overton Grange Maths KS4
Two-dimensional shapes - Overton Grange Maths KS4

... Notice that corner A of the arrow is the same distance away from the mirror line as corner B. This is also true for the other corners as well. Tracing paper can be used to see if a shape has line symmetry. Trace the shape. Then fold the tracing and see if one part fits exactly over the other part. A ...
8 congruence, symmetry and similarity
8 congruence, symmetry and similarity

... A shape has line symmetry if it can be folded so that one part of the shape fits exactly on top of the other part. Every point of the shape on one side of the line of symmetry has a corresponding point on the mirror image the other side of the line. Notice that corresponding points are the same dist ...
line of symmetry.
line of symmetry.

... plane NLM ...
Lesson 15: Rotations, Reflections, and Symmetry
Lesson 15: Rotations, Reflections, and Symmetry

... one more time? That is, what if we rotated by three times in a row? That would be equivalent to rotating once by or . But a rotation by is equivalent to doing nothing, i.e., the identity transformation! If we use to denote the identity transformation ( for every point in the plane), we can write thi ...
Grade 9 Mathematics Unit 3: Shapes and Space Sub
Grade 9 Mathematics Unit 3: Shapes and Space Sub

... Sub-Unit #2 – Similarity and Transformations Lesson #9 – Transformations on a Cartesian Plan On this grid, rectangle A has been rotated 180° about E(-1,2) to produce its image, rectangle B. We can extend our meaning of line symmetry to relate the two triangles. The line x = -1 is a line of symmetry ...
Geometry - Cobb Learning
Geometry - Cobb Learning

... A rotation is a transformation where the preimage is rotated about the center of rotation. Rotations are Isometries. A figure has rotational symmetry if it maps onto itself at an angle of rotation of 180 or less. ...
Geometry Symmetry Unit CO.3 OBJECTIVE #: G.CO.3 OBJECTIVE
Geometry Symmetry Unit CO.3 OBJECTIVE #: G.CO.3 OBJECTIVE

4.1 Symmetry Geometry and measures
4.1 Symmetry Geometry and measures

... The area of the bottom rectangle is 4 × 5 = 20 m2. The total area is 33 + 20 = 53 m2. The sides are in metres (m) so the area is in square metres (m2). b There are two missing lengths. The right-hand side is 3 + 4 = 7 m. The other missing length is 11 - 5 = 6 m. The perimeter is the total length ro ...
line symmetry of a figure - Manhasset Public Schools
line symmetry of a figure - Manhasset Public Schools

... Aim #18: What types of symmetry does a figure have? Do Now: In the diagram below: Sketch Triangle B, the reflection of Triangle A across line x. Sketch Triangle C, the reflection of Triangle B across line y. Complete: Line x and line y are each a _______ __ ________________. ...
- e-Education Institute
- e-Education Institute

... In a), a two-dimensional sheet of carbon atoms, in the graphite structure is shown. The structure consists of a hexagonal distribution of carbon atoms. A possible lattice site is indicated by the asterisk at A.  If A is taken to be the original lattice site, then all such positions are also lattice ...
symmetry-year-2-the-woods - Pembrokeshire Outdoor Schools
symmetry-year-2-the-woods - Pembrokeshire Outdoor Schools

...  Teacher to use a stick as a line of symmetry and pebbles, and make matching or non-matching patterns either side and ask group if they are symmetrical or not.  Provide each child with a flattened circle of clay and ask them to mark out a line of symmetry (with a stick, leaves pebbles etc.).  Onc ...
7.2Reflections
7.2Reflections

... Solution. Start by graphing y = 4 and G. From the graph, you can see that G is on the line. This implies G = G′ ...
0035_hsm11gmtr_0904.indd
0035_hsm11gmtr_0904.indd

... sketch the line(s) of symmetry. If it has rotational symmetry, tell the angle of rotation. 1. To start, look for the ways that the figure will reflect ...
1

Symmetry of diatomic molecules

Molecular symmetry in physics and chemistry describes the symmetry present in molecules and the classification of molecules according to their symmetry. Molecular symmetry is a fundamental concept in the application of Quantum Mechanics in physics and chemistry, for example it can be used to predict or explain many of a molecule's properties, such as its dipole moment and its allowed spectroscopic transitions (based on selection rules), without doing the exact rigorous calculations (which, in some cases, may not even be possible). Group theory is the predominant framework for analyzing molecular symmetry.Among all the molecular symmetries, diatomic molecules show some distinct features and they are relatively easier to analyze.
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