Skip to content
START WITH A QUESTION

What would you like to understand?

Find an answer. See the moment it becomes clear. Follow the idea further.

← Concept directory

Answers for “如何在坐标平面上平移一个形状?”

5 keyword matches

Understanding your question. You can explore the search results below now.

Find a method

↗

To translate a shape on a coordinate plane, shift each vertex by the given horizontal and vertical amounts. For example, to translate a triangle left 3 units and up 1 unit, subtract 3 from the x-coordinate and add 1 to the y-coordinate of each vertex.

Conditions: Requires specifying the direction and distance of the shift.

Meet the concept

↗

The coordinate rule for translating left 3 units and up 1 unit is (x,y)→(x−3,y+1)(x,y) \rightarrow (x-3, y+1). This means you subtract 3 from the x-coordinate and add 1 to the y-coordinate of any point.

Conditions: The translation is defined as left 3 units and up 1 unit.

Meet the concept

↗

No, dilations are not considered rigid motions because they involve stretching or shrinking an object, which changes its size. Rigid motions must keep the exact same size and shape.

Conditions: The transformation involves changing the size of the object.

Find a method

↗

A translation can be represented as a vector by combining the horizontal and vertical shifts into its components. For a translation left 3 units and up 1 unit, the vector is <-3, 1>.

Conditions: The translation is defined by horizontal and vertical shifts.

Meet the concept

↗

Rigid motions are transformations that preserve the exact size and shape of an object, although its position may change. The three types of rigid motions are translations, reflections, and rotations.

Conditions: Applies to geometric transformations.