... 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
... 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
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.
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 ...
Lesson 15: Rotations, Reflections, and Symmetry
... one more time? That is, what if we rotated
three times in a row? That would be equivalent to rotating
. 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
... 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
... A rotation is a transformation where the
preimage is rotated about the center of
Rotations are Isometries.
A figure has rotational symmetry if it
maps onto itself at an angle of rotation
of 180 or less.
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
... 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
... 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
... 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.).
... Solution. Start by graphing y
= 4 and G. From the
graph, you can see that G
is on the line. This
implies G = G′
... 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
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.