Question

notes: identifying and interpreting transform...

• ____ a point ((x,y)) right by 3 units and down by 2 units changes it to ((x + 3, y - 2)).
• the process of moving a shape without rotating or changing its size is called ____.
• to translate a shape, you add or subtract the same values to the ____ of each point.
• dilation from the origin changes the distances of points from the origin by ____ each coordinate by the scale factor.

Explanation:

First Blank:

Step1: Recall transformation terms

Moving a point right/down is a translation. The operation here is translating (or moving) the point.

Step2: Determine the term

The action of changing the point \((x,y)\) to \((x + 3,y - 2)\) by moving right and down is called "Translating" (or "Moving", but "Translating" is the precise term in geometry for this type of transformation).

Step1: Recall geometric transformation definitions

The process of moving a shape without rotating or resizing is a fundamental transformation concept.

Step2: Identify the term

This process is called "translation" (it's the definition of translation in geometry: sliding a figure without rotation or change in size).

Step1: Recall translation of shapes

To translate a shape, we modify the coordinates (x and y values) of each point. We add or subtract values to the "coordinates" (specifically the x - coordinate for horizontal movement and y - coordinate for vertical movement) of each point.

Step2: Confirm the term

The blank refers to what we modify for each point in translation, which is the "coordinates" (or more specifically "x - and y - coordinates", but "coordinates" is sufficient here).

Answer:

Translating

Second Blank: