What Properties of a Figure Stay the Same After a Translation?

Note:

Get to know translations better with this tutorial. You'll learn what properties stay the same and what changes when you translate a figure.

Keywords:

concept
translation
conserved
same
properties

Background Tutorials

Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
- How Do You Find the Perimeter of a Shape?
  
  Ever had someone come up to you on the street, hand you a shape, and ask you to find the perimeter of that shape? Watch this tutorial, and next time that happens you'll be ready!
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
- What is a Line Segment?
  
  A math term can really tell you a lot about the thing it's describing. Take the term line segment. A line segment is just part of a line! In this tutorial, learn about line segments, how to name them, and what the midpoint of a line segment is!
- What is an Angle?
  
  Angles are a fundamental building block for creating all sorts of shapes! In this tutorial, learn about how an angle is formed, how to name an angle, and how an angle is measured. Take a look!
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
- What are Quadrants in the Coordinate Plane?
  
  Did you know that there are four quadrants that help make up the coordinate plane? Learn about these quadrants, and what ordered pairs are located in each, by watching this tutorial!
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
- How Do You Find the Area of a Triangle?
  
  Finding the area of a triangle? Know the length of the base and the height? Then just take those values and plug them into the formula for the area of a triangle and solve! This tutorial shows you how.
Lines are taken to lines, and line segments to line segments of the same length.
- What is a Translation?
  
  Ever slide something across a table? If so, then you have performed a translation! In this tutorial, learn the definition of translation and see some really neat examples. Take a look!
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
- What Does Congruent Mean?
  
  If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!
Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
- What is an Image?
  
  Just about everything in math has a name! Did you know that when you're dealing with transformations, the new figure you get is called an image? Check out this tutorial and learn about this math term!

What Properties of a Figure Stay the Same After a Translation?

What Properties of a Figure Stay the Same After a Translation?

Note:

Keywords:

Background Tutorials

Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Lines are taken to lines, and line segments to line segments of the same length.

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

Further Exploration

Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.