Question

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′. Which rule describes this transformation?

Answer 1

Answer:

The rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.

Step-by-step explanation:

To Determine:

Which rule describes this transformation?

Fetching Information and Solution Steps:

As Quadrilateral PQRS was

• translated 5 units to the right and

• 3 units up

to create quadrilateral P′Q′R′S′.

In order to determine the rule of this transformation, we need to understand some knowledge about the translation.

• In geometry, translation is a term that is used to describe a function that moves any figure a certain distance.

• In translation, every point of the figure or object must be moved for the same distance and in the same direction.

There are some rules when translation is made on the Coordinate Plane. These rules are as follows:

• If the object is moved left and down, the rule would be (x - __, y - __). Here the blanks are the distances moved along each axis.

• A rule for a translation right and up (x + __, y + __)

• A rule for a translation right and down (x + __, y - __)

• A rule for a translation left and up: (x - __, y + __)

As Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′.

Therefore, we can conclude that the rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.

Keywords: transformation  rule, translation

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