# What does it mean when a shape carries onto itself

## How do you transform a shape into itself?

In order for the figure to map onto itself,

**the line of reflection must go through the center point**. Two lines of reflection go through the sides of the figure. Two lines of reflection go through the vertices of the figure. Thus, there are four possible lines that go through the center and are lines of reflections.## What transformation takes a figure back to itself?

A Plane figure has

**rotational symmetry**of a certain order if the plane figure maps on to itself under a rotation through some angle about the center. All plane figure has rotational symmetry of order 1. Since a rotation of 360 degrees about its center will map the figure back to itself.## Which transformation would carry a square onto itself?

ANSWER: line symmetry;

**rotational symmetry**; the reflection in the line x = 0, the reflection in the line y = 0, the reflection in the line y = x, and the reflection in the line y = -x all map the square onto itself; the rotations of 90, 180, and 270 degrees around the origin map the square onto itself.## What situation causes a point to be reflected onto itself?

A

**shape has reflection symmetry if there**exists a line of reflection that carries the shape onto itself. This line of reflection is called a line of symmetry. In other words, if you can reflect a shape across a line and the shape looks like it never moved, it has reflection symmetry.## What translations carry this Decagon onto itself?

C)

**There is no translation that moves a regular decagon**onto itself, so it does not have translation symmetry.## Which rotations if any map the figure onto itself?

**A rotation of 360°**maps a figure onto itself. You can use coordinate rules to find the coordinates of a point after a rotation of 90°, 180°, or 270° about the origin.

## Which figure always has exactly three lines of reflection that map the figure onto itself?

Lines of symmetry are lines of reflections. If you fold a figure along these lines, the figure is mapped onto itself. How many lines of symmetry does an

**equilateral triangle**have? An equilateral triangle has 3 lines of symmetry.## What is a pentagon shape?

In geometry, a pentagon (from the Greek πέντε pente meaning five and γωνία gonia meaning angle) is

**any five-sided polygon or 5-gon**. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon (or star pentagon) is called a pentagram.## What is a transformation that turns a figure around a fixed point?

**Rotation**: a transformation that turns a figure about a fixed point called the center of rotation.

## Which figure has exactly four lines of reflection that maps the figure onto itself?

**A square**is an example of a shape with reflection symmetry. In a square, all sides are congruent and each angle is a right angle. There are four lines of reflection that carry the square onto itself.

## How do you carry a polygon onto itself?

## Which transformation will always map a parallelogram onto itself?

**a reflection across**a line joining the midpoints of opposite sides.

## Which transformation carries the trapezoid onto itself?

reflection

It is apparent that we can have

**a line of reflection**that maps a trapezoid onto itself, only when the trapezoid has the two non-parallel sides are equal in length and angles they make with any of the parallel sides too are equal (in fact the first condition in a trapezium leads to second) i.e. an isosceles trapezoid.## Which transformation can map the letter S onto itself?

2 Which transformation can map the letter S onto itself? 3 Which transformation is not always an isometry? 4 Which transformation produces a figure that is always the mirror image of the original figure?

…

…

1) | line reflection |
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3) | translation |

4) | rotation |

## What is the rule for the reflection?

To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis

**: (x, -y), y-axis: (-x, y), line y=x: (y, x)**.## Which reflection will carry the Pentagon onto itself?

rotation symmetry

When you

**rotate the regular pentagon 72∘**about its center, it will look exactly the same. This is because the regular pentagon has rotation symmetry, and 72∘is the minimum number of degrees you can rotate the pentagon in order to carry it onto itself.## What is the line of reflection for the trapezoids?

Hence

**the line joining the midpoints of AB and CD i.e. (−2,1) and (−2,4)**is the line of reflection that maps the trapezoid onto itself, which is parallel to y -axis.## What is the equation of the line reflection?

The line of reflection is usually given in the form

**y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b**.## What degree measure will carry a hexagon onto itself?

A regular hexagon can be mapped onto itself by a clockwise or counterclockwise rotation of

**60°, 120°**, or 180° about its center.## How many reflection symmetries does a pentagon have?

5 Lines of Symmetry

Regular Polygons

An Equilateral Triangle (3 sides) has 3 Lines of Symmetry | |
---|---|

A Square (4 sides) has 4 Lines of Symmetry | |

A Regular Pentagon (5 sides) has 5 Lines of Symmetry | |

A Regular Hexagon (6 sides) has 6 Lines of Symmetry | |

A Regular Heptagon (7 sides) has 7 Lines of Symmetry |

## What does reflection mean in math?

A reflection is

**a transformation representing a flip of a figure**. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage.## What does reflection across Y 2 mean?

the x-values of the mirror image will stay the same. look at the y-values. the y-values must be the same

**number**of units below the line y=2 as above the line y=2. for example, if a y-value is 2 units above the line y=2, the mirror image of that y-value must be 2 units below the line y=2.## How do you reflect a shape over a line?

When you reflect a point across the line

**y = x, the x-coordinate and y-coordinate change**places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).## How do you reflect over Y 3?

The line y = 3 is a horizontal line so we know our reflected point will be (1, y’). The original point (1, 2) is just one unit less (or one unit away below it) from the line y = 3, so our reflected point will be one unit away above it, giving us (1, 4). Hence, the answer is

**(3,5)**.## What does a dilation do?

A dilation is

**a transformation that enlarges or reduces a figure in size**. This means that the preimage and image are similar and are either reduced or enlarged using a scale factor.