Guidelines

How do you map a shape onto itself?

How do you map a shape onto 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.

How many times can you reflect a square 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.

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Which rotation maps the figure onto itself?

ANSWER: rotational symmetry; the rotation of 180 degrees around the point (1, 1) maps the parallelogram onto itself.

What is a map shape?

A shape is an object on the map, tied to a latitude/longitude coordinate. The following shapes are available: lines, polygons, circles and rectangles.

What transformation maps one triangle to another?

similarity transformation
Therefore, a similarity transformation exists that maps one triangle onto the other, and the triangles must be similar. If you are given any two congruent triangles, describe a sequence of basic rigid motions that takes one to the other.

What is mapping and types of mapping?

There are two main types of maps – political maps and physical maps. Physical maps show the shape of the land – hills, lakes, forests, the coast and so on. Most maps include a compass rose which indicates the directions of north, south, east and west. They also include a scale which is useful for estimating distances.

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How do you state transformations?

The function translation / transformation rules:

  1. f (x) + b shifts the function b units upward.
  2. f (x) – b shifts the function b units downward.
  3. f (x + b) shifts the function b units to the left.
  4. f (x – b) shifts the function b units to the right.
  5. –f (x) reflects the function in the x-axis (that is, upside-down).

What are the transformation mapping rules?

Mapping Rule A mapping rule has the following form (x,y) → (x−7,y+5) and tells you that the x and y coordinates are translated to x−7 and y+5. Translation A translation is an example of a transformation that moves each point of a shape the same distance and in the same direction. Translations are also known as slides.

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

square
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.